Academic literature on the topic 'Non-equilibrium thermodynamics'

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Journal articles on the topic "Non-equilibrium thermodynamics"

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Maity, Subhayan. "Non-Equilibrium Thermodynamics in the Non-Canonical Scalar Field Perturbed Space-Time: Stability Analysis." Open Access Journal of Astronomy 2, no. 1 (2024): 1–8. http://dx.doi.org/10.23880/oaja-16000115.

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The space-time of the Universe has been perturbed under a scalar field ϕ considering the minimum coupling between and the background metric. The solutions of Einstein field equations have been obtained under perturbed geometry and the corresponding conservation equation shows the non-equilibrium thermodynamic prescription of the cosmic fluid. Following the stability criteria of the cosmic fluid along with the laws of thermodynamics, some constraints have been imposed on the choice of ϕ.
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Igamberdiev, Abir U. "Toward the Relational Formulation of Biological Thermodynamics." Entropy 26, no. 1 (December 31, 2023): 43. http://dx.doi.org/10.3390/e26010043.

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Classical thermodynamics employs the state of thermodynamic equilibrium, characterized by maximal disorder of the constituent particles, as the reference frame from which the Second Law is formulated and the definition of entropy is derived. Non-equilibrium thermodynamics analyzes the fluxes of matter and energy that are generated in the course of the general tendency to achieve equilibrium. The systems described by classical and non-equilibrium thermodynamics may be heuristically useful within certain limits, but epistemologically, they have fundamental problems in the application to autopoietic living systems. We discuss here the paradigm defined as a relational biological thermodynamics. The standard to which this refers relates to the biological function operating within the context of particular environment and not to the abstract state of thermodynamic equilibrium. This is defined as the stable non-equilibrium state, following Ervin Bauer. Similar to physics, where abandoning the absolute space-time resulted in the application of non-Euclidean geometry, relational biological thermodynamics leads to revealing the basic iterative structures that are formed as a consequence of the search for an optimal coordinate system by living organisms to maintain stable non-equilibrium. Through this search, the developing system achieves the condition of maximization of its power via synergistic effects.
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de Hemptinne, X. "Non-equilibrium statistical thermodynamics." Journal of Molecular Liquids 67 (December 1995): 71–80. http://dx.doi.org/10.1016/0167-7322(95)00867-5.

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Quan, Hai-Tao, Hui Dong, and Chang-Pu Sun. "Theoretical and experimental progress of mesoscopic statistical thermodynamics." Acta Physica Sinica 72, no. 23 (2023): 230501. http://dx.doi.org/10.7498/aps.72.20231608.

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Does thermodynamics still hold true for mecroscopic small systems with only limited degrees of freedom? Do concepts such as temperature, entropy, work done, heat transfer, isothermal processes, and the Carnot cycle remain valid? Does the thermodynamic theory for small systems need modifying or supplementing compared with traditional thermodynamics applicable to macroscopic systems? Taking a single-particle system for example, we investigate the applicability of thermodynamic concepts and laws in small systems. We have found that thermodynamic laws still hold true in small systems at an ensemble-averaged level. After considering the information erasure of the Maxwell's demon, the second law of thermodynamics is not violated. Additionally, 'small systems' bring some new features. Fluctuations in thermodynamic quantities become prominent. In any process far from equilibrium, the distribution functions of thermodynamic quantities satisfy certain rigorously established identities. These identities are known as fluctuation theorems. The second law of thermodynamics can be derived from them. Therefore, fluctuation theorems can be considered an upgradation to the second law of thermodynamics. They enable physicists to obtain equilibrium properties (e.g. free energy difference) by measuring physical quantities associated with non-equilibrium processes (e.g. work distributions). Furthermore, despite some distinct quantum features, the performance of quantum heat engine does not outperform that of classical heat engine. The introduction of motion equations into small system makes the relationship between thermodynamics and mechanics closer than before. Physicists can study energy dissipation in non-equilibrium process and optimize the power and efficiency of heat engine from the first principle. These findings enrich the content of thermodynamic theory and provide new ideas for establishing a general framework for non-equilibrium thermodynamics.
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Pekař, Miloslav. "Thermodynamics and foundations of mass-action kinetics." Progress in Reaction Kinetics and Mechanism 30, no. 1-2 (June 2005): 3–113. http://dx.doi.org/10.3184/007967405777874868.

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A critical overview is given of phenomenological thermodynamic approaches to reaction rate equations of the type based on the law of mass-action. The review covers treatments based on classical equilibrium and irreversible (linear) thermodynamics, extended irreversible, rational and continuum thermodynamics. Special attention is devoted to affinity, the applications of activities in chemical kinetics and the importance of chemical potential. The review shows that chemical kinetics survives as the touchstone of these various thermody-namic theories. The traditional mass-action law is neither demonstrated nor proved and very often is only introduced post hoc into the framework of a particular thermodynamic theory, except for the case of rational thermodynamics. Most published “thermodynamic'’ kinetic equations are too complicated to find application in practical kinetics and have merely theoretical value. Solely rational thermodynamics can provide, in the specific case of a fluid reacting mixture, tractable rate equations which directly propose a possible reaction mechanism consistent with mass conservation and thermodynamics. It further shows that affinity alone cannot determine the reaction rate and should be supplemented by a quantity provisionally called constitutive affinity. Future research should focus on reaction rates in non-isotropic or non-homogeneous mixtures, the applicability of traditional (equilibrium) expressions relating chemical potential to activity in non-equilibrium states, and on using activities and activity coefficients determined under equilibrium in non-equilibrium states.
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Zhou, Xiao-Dong. "(Invited) On Non-equilibrium Thermodynamics in Electrochemical Systems." ECS Meeting Abstracts MA2023-02, no. 46 (December 22, 2023): 2268. http://dx.doi.org/10.1149/ma2023-02462268mtgabs.

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Much of our understanding of physical behavior of materials is based on the concept of equilibrium, which lies at the heart of classical thermodynamics, condensed matter physics, and modern reaction kinetics. If a thermodynamic system is in equilibrium conditions, which is the situation when an energy system (e.g., a fuel cell or a battery) is under open circuit voltage, the surface and bulk of the electrode are only subject to fluctuation of thermodynamic qualities. For the cases that are not at equilibrium, but are close to it, Onsager established linear reciprocal relationships between flux and thermodynamic force for a thermodynamic system in nonequilibrium states. These linear relationships are manifested in transport phenomena, which are non-equilibrium processes, such as ion diffusion and heat conduction. When an electrochemical reaction takes place at an electrode of a fuel cell, electrolyzer, or battery, the thermodynamic system is far away from equilibrium. Therefore, the thermodynamic states of the surface and bulk of an electrode are subject to external thermodynamic forces. As a result, in an active electrode, the electrochemical reaction on the surface causes all thermodynamic variables to change in both the surface and the bulk. In this talk, I will use solid oxide cells and lithium-ion batteries as an example to address three questions related to materials in non-equilibrium thermodynamic states: (i) how do fast kinetics and high current in an operating electrochemical cell affect the thermodynamic states of its material constituents, (ii) whether or not the state of non-equilibrium can remain stable with constant flow of matter and energy, and (iii) what is the origin that governs activity and stability in solid oxide cells?
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Mazur, P. "Fluctuations and non-equilibrium thermodynamics." Physica A: Statistical Mechanics and its Applications 261, no. 3-4 (December 1998): 451–57. http://dx.doi.org/10.1016/s0378-4371(98)00353-7.

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van Zon, R., and E. G. D. Cohen. "Non-equilibrium thermodynamics and fluctuations." Physica A: Statistical Mechanics and its Applications 340, no. 1-3 (September 2004): 66–75. http://dx.doi.org/10.1016/j.physa.2004.03.078.

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Ptasinski, Krzysztof J. "Non-equilibrium thermodynamics for engineers." Energy 36, no. 3 (March 2011): 1836–37. http://dx.doi.org/10.1016/j.energy.2011.01.004.

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Maciołek, Anna, Robert Hołyst, Karol Makuch, Konrad Giżyński, and Paweł J. Żuk. "Parameters of State in the Global Thermodynamics of Binary Ideal Gas Mixtures in a Stationary Heat Flow." Entropy 25, no. 11 (October 31, 2023): 1505. http://dx.doi.org/10.3390/e25111505.

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In this paper, we formulate the first law of global thermodynamics for stationary states of the binary ideal gas mixture subjected to heat flow. We map the non-uniform system onto the uniform one and show that the internal energy U(S*,V,N1,N2,f1*,f2*) is the function of the following parameters of state: a non-equilibrium entropy S*, volume V, number of particles of the first component, N1, number of particles of the second component N2 and the renormalized degrees of freedom. The parameters f1*,f2*, N1,N2 satisfy the relation (N1/(N1+N2))f1*/f1+(N2/(N1+N2))f2*/f2=1 (f1 and f2 are the degrees of freedom for each component respectively). Thus, only 5 parameters of state describe the non-equilibrium state of the binary mixture in the heat flow. We calculate the non-equilibrium entropy S* and new thermodynamic parameters of state f1*,f2* explicitly. The latter are responsible for heat generation due to the concentration gradients. The theory reduces to equilibrium thermodynamics, when the heat flux goes to zero. As in equilibrium thermodynamics, the steady-state fundamental equation also leads to the thermodynamic Maxwell relations for measurable steady-state properties.
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Dissertations / Theses on the topic "Non-equilibrium thermodynamics"

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Voldsund, Mari. "Modelling distillation with non-equilibrium thermodynamics." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for kjemi, 2009. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-6864.

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Solbraa, Even. "Equilibrium and Non-Equilibrium Thermodynamics of Natural Gas Processing." Doctoral thesis, Norwegian University of Science and Technology, Faculty of Engineering Science and Technology, 2002. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-96.

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The objective of this work has been to study equilibrium and non equilibrium situations during high pressure gas processing operations with emphasis on utilization of the high reservoir pressure. The well stream pressures of some of the condensate and gas fields in the North Sea are well above 200 bar. Currently the gas is expanded to a specified processing condition, typically 40-70 bar, before it is recompressed to the transportation conditions. It would be a considerable environmental and economic advantage to be able to process the natural gas at the well stream pressure. Knowledge of thermodynamic- and kinetic properties of natural gas systems at high pressures is needed to be able to design new high pressure process equipment.

Nowadays, reactive absorption into a methyldiethanolamine (MDEA)solution in a packed bed is a frequently used method to perform acid gas treating. The carbon dioxide removal process on the Sleipner field in the North Sea uses an aqueous MDEA solution and the operation pressure is about 100 bar. The planed carbon dioxide removal process for the Snøhvit field in the Barents Sea is the use of an activated MDEA solution.

The aim of this work has been to study high-pressure effects related to the removal of carbon dioxide from natural gas. Both modelling and experimental work on high-pressure non-equilibrium situations in gas processing operations have been done.

Few experimental measurements of mass transfer in high pressure fluid systems have been published. In this work a wetted wall column that can operate at pressures up to 200 bar was designed and constructed. The wetted wall column is a pipe made of stainless steel where the liquid is distributed as a thin liquid film on the inner pipewall while the gas flows co- or concurrent in the centre of the pipe. The experiments can be carried out with a well-defined interphase area and with relatively simple fluid mechanics. In this way we are able to isolate the effects we want to study in a simple and effective way.

Experiments where carbon dioxide was absorbed into water and MDEA solutions were performed at pressures up to 150 bar and at temperatures 25 and 40°C. Nitrogen was used as an inert gas in all experiments.

A general non-equilibrium simulation program (NeqSim) has been developed. The simulation program was implemented in the object-oriented programming language Java. Effort was taken to find an optimal object-oriented design. Despite the increasing popularity of object-oriented programming languages such as Java and C++, few publications have discussed how to implement thermodynamic and fluid mechanic models. A design for implementation of thermodynamic, mass transfer and fluid mechanic calculations in an object-oriented framework is presented in this work.

NeqSim is based on rigorous thermodynamic and fluid mechanic models. Parameter fitting routines are implemented in the simulation tool and thermodynamic-, mass transfer- and fluid mechanic models were fitted to public available experimental data. Two electrolyte equations of state were developed and implemented in the computer code. The electrolyte equations of state were used to model the thermodynamic properties of the fluid systems considered in this work (non-electrolyte, electrolyte and weak-electrolyte systems).

The first electrolyte equation of state (electrolyte ScRK-EOS) was based on a model previously developed by Furst and Renon (1993). The molecular part of the equation was based on a cubic equation of state (Scwarzentruber et.al. (1989)’s modification of the Redlich-Kwong EOS) with the Huron-Vidal mixing rule. Three ionic terms were added to this equation – a short-range ionic term, a long-range ionic term (MSA) and a Born term. The thermodynamic model has the advantage that it reduces to a standard cubic equation of state if no ions are present in the solution, and that public available interaction parameters used in the Huron-Vidal mixing rule could be utilized. The originality of this electrolyte equation of state is the use of the Huron-Vidal mixing rule and the addition of a Born term. Compared to electrolyte models based on equations for the gibbs excess energy, the electrolyte equation of state has the advantage that the extrapolation to higher pressures and solubility calculations of supercritical components is less cumbersome. The electrolyte equation of state was able to correlate and predict equilibrium properties of CO2-MDEA-water solutions with a good precision. It was also able to correlate high pressure data of systems of methane-CO2-MDEA and water.

The second thermodynamic model (electrolyte CPA-EOS) evaluated in this work is a model where the molecular interactions are modelled with the CPA (cubic plus association) equation of state (Kontogeorgios et.al., 1999) with a classical one-parameter Van der Walls mixing rule. This model has the advantage that few binary interaction parameters have to be used (even for non-ideal solutions), and that its extrapolation capability to higher pressures is expected to be good. In the CPA model the same ionic terms are used as in the electrolyte ScRK-EOS.

A general non-equilibrium two-fluid model was implemented in the simulation program developed in this work. The heat- and mass-transfer calculations were done using an advanced multicomponent mass transfer model based on non-equilibrium thermodynamics. The mass transfer model is flexible and able to simulate many types of non-equilibrium processes we find in the petroleum industry. A model for reactive mass transfer using enhancement factors was implemented for the calculation of mass transfer of CO2 into amine solutions. The mass transfer model was fitted to the available mass transfer data found in the open literature.

The simulation program was used to analyse and perform parameter fitting to the high pressure experimental data obtained during this work. The mathematical models used in NeqSim were capable of representing the experimental data of this work with a good precision. From the experimental and modelling work done, we could conclude that the mass transfer model regressed to pure low-pressure data also was able to represent the high-pressure mass transfer data with an acceptable precision. Thus the extrapolation capability of the model to high pressures was good.

For a given partial pressure of CO2 in the natural gas, calculations show a decreased CO2 capturing capacity of aqueous MDEA solutions at increased natural gas system pressure. A reduction up to 40% (at 200 bar) compared to low pressure capacity is estimated. The pressure effects can be modelled correctly by using suitable thermodynamic models for the liquid and gas. In a practical situation, the partial pressure of CO2 in the natural gas will be proportional to the total pressure. In these situations, it is shown that the CO2 capturing capacity of the MDEA solution will be increased at rising total pressures up to 200 bar. However, the increased capacity is not as large as we would expect from the higher CO2 partial pressure in the gas.

The reaction kinetics of CO2 with MDEA is shown to be relatively unaffected by the total pressure when nitrogen is used as inert gas. It is however important that the effects of thermodynamic and kinetic non- ideality in the gas and liquid phase are modelled in a consistent way. Using the simulation program NeqSim – some selected high-pressure non-equilibrium processes (e.g. absorption, pipe flow) have been studied. It is demonstrated that the model is capable of simulating equilibrium- and non-equilibrium processes important to the process- and petroleum industry.

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DeSimone, Anthony Joseph Jr Gilmore Robert. "Symmetries and relaxations in non-equilibrium thermodynamics /." Philadelphia, Pa. : Drexel University, 2005. http://dspace.library.drexel.edu/handle/1860/483.

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Ferguson, Todd R. (Todd Richard). "Lithium-ion battery modeling using non-equilibrium thermodynamics." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/87133.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Chemical Engineering, 2014.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (pages 147-161).
The focus of this thesis work is the application of non-equilibrium thermodynamics in lithium-ion battery modeling. As the demand for higher power and longer lasting batteries increases, the search for materials suitable for this task continues. Traditional battery modeling uses dilute solution kinetics and a fit form of the open circuit potential to model the discharge. This work expands on this original set of equations to include concentrated solution kinetics as well as thermodynamics-based modeling of the open circuit potential. This modification is advantageous because it does not require the cell to be built in order to be modeled. Additionally, this modification also allows phase separating materials to be modeled directly using phase field models. This is especially useful for materials such as lithium iron phosphate and graphite, which are currently modeled using a fit open circuit potential and an artificial phase boundary (in the case of lithium iron phosphate). This thesis work begins with a derivation of concentrated solution theory, beginning with a general reaction rate framework and transition state theory. This derivation includes an overview of the thermodynamic definitions used in this thesis. After the derivation, transport and conduction in porous media are considered. Effective transport properties for porous media are presented using various applicable models. Combining concentrated solution theory, mass conservation, charge conservation, and effective porous media properties, the modified porous electrode theory equations are derived. This framework includes equations to model mass and charge conservation in the electrolyte, mass conservation in the solid intercalation particles, and electron conservation in the conducting matrix. These mass and charge conservation equations are coupled to self-consistent models of the charge transfer reaction and the Nernst potential. The Nernst potential is formulated using the same thermodynamic expressions used in the mass conservation equation for the intercalation particles. The charge transfer reaction is also formulated using the same thermodynamic expressions, and is presented in a form similar to the Butler-Volmer equation, which determines the reaction rate based on the local overpotential. This self-consistent set of equations allows both homogeneous and phase separating intercalation materials to be modeled. After the derivation of the set of equations, the numerical methods used to solve the equations in this work are presented, including the finite volume method and solution methods for differential algebraic equations. Then, example simulations at constant current are provided for homogeneous and phase separating materials to demonstrate the effect of changing the solid diffusivity and discharge rate on the cell voltage. Other effects, such as coherency strain, are also presented to demonstrate their effect on the behavior of particles inside the cell (e.g. suppression of phase separation). After the example simulations, specific simulations for two phase separating materials are presented and compared to experiment. These simulations include slow discharge of a lithium iron phosphate cell at constant current, and electrolyte-limited discharge of a graphite cell at constant potential. These two simulations are shown to agree very well with experimental data. In the last part of this thesis, the most recent work is presented, which is based on modeling lithium iron phosphate particles including coherency strain and surface wetting. These results are qualitatively compared with experimental data. Finally, future work in this area is considered, along with a summary of the thesis.
by Todd R. Ferguson.
Ph. D.
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Dorner, Ross. "Non-equilibrium thermodynamics and dynamics of quantum systems." Thesis, Imperial College London, 2013. http://hdl.handle.net/10044/1/23916.

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This thesis is a study of non-equilibrium phenomena in quantum systems. Emphasis is given to the recently derived non-equilibrium fluctuation theorems, which relate the non-equilibrium response of a system to its equilibrium thermodynamic properties. We investigate the validity and importance of these theorems, from both a theoretical and experimental perspective, in systems ranging from a single atom to an ensemble of interacting particles. We also investigate the potential role of quantum dynamics in biological processes.
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Fusco, Lorenzo. "Non-equilibrium thermodynamics in quantum many-body systems." Thesis, Queen's University Belfast, 2016. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.706680.

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Thermodynamics is one of the pillars of modern science. Understanding which are the boundaries for the applicability of a theory is fundamental for every science and thermodynamics makes no exception. This Thesis studied the implications of thermodynamic transformations applied to quantum systems, particularly discussing the limits of a proper thermodynamic interpretation of such a transformation for a quantum many-body system. First a framework is developed to give a physical meaning to the full statistics of the work distributions for a many-body system, with particular emphasis on the quantum Ising model. Signatures of criticality are found at any level of the statistics of the work distribution. Furthermore, a detailed study of cyclic work extraction protocols is reported, for the case of the Dicke model, analysing the interplay between entanglement and phase transition from the point of view of non-equilibrium thermodynamics. Afterwards, a study of non-equilibrium thermodynamics of open quantum systems is reported. The first experimental reconstruction of the irreversible entropy production for a critical quantum manybody system is demonstrated, showing an excellent agreement with the theoretical predictions. Finally, in the framework of thermodynamics of quantum jump trajectories, a novel approach to the resolution of the large-deviation function is derived. Using this method many studies on the thermodynamics of open quantum many-body systems can be realised in the future.
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MARCANTONI, STEFANO. "On the non-equilibrium thermodynamics of quantum systems." Doctoral thesis, Università degli Studi di Trieste, 2018. http://hdl.handle.net/11368/2917551.

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A consistent theory of non-equilibrium thermodynamics for Markovian open quantum systems has been developed in the late seventies in analogy with Classical Irreversible Thermodynamics. The time-evolution of these open systems is usually described by means of effective master equations in Lindblad form, that turn out to be reliable when there is a separation of time-scales between system and environment, such that memory effects are negligible and the so-called Markovian approximation is justified. In this framework, the variations of energy and entropy in the system are consistently described, distinguishing between heat and work contributions and providing a statement of the second law of thermodynamics as positivity of the entropy production. However, there is empirical evidence that many physical systems like photosynthetic complexes, opto-mechanical resonators and superconducting qubits, just to mention a few, experience more general non-Markovian dynamics. The formulation of the laws of thermodynamics in a non-Markovian setting is matter of current research and represents the main topic of the present work. As a first step, we show that the entropy production defined as in the Markovian case can be negative for a class of non-Markovian dynamics. We argue that this outcome should not be interpreted as a violation of the second law of thermodynamics because the environment must be explicitly taken into account in the balance of entropy in the non-Markovian setting. In order to justify this claim we adopt a more general point of view, studying a closed bipartite quantum system, such that each of the two subsystems plays the role of a finite environment out of equilibrium for the other one. We concentrate on the balance of energy first and construct an effective Hamiltonian for each subsystem using physically reasonable requirements; then we define heat and work as in the standard Markovian treatment, with the effective Hamiltonian replacing the free Hamiltonian. It turns out that, in our framework, the work power is perfectly balanced between subsystems, while the correlations can store a part of energy locally inaccessible and exchange it with both subsystems in the form of heat. Concerning the balance of entropy, a quite general formulation of the second law of thermodynamics can be given as follows: under the assumption of a factorized initial state for the compound system, the sum of the total variations of the entropies in the two subsystems is always nonnegative. We show with an explicit example that this general formulation does not correspond to the statement presented in the framework of Markovian master equations, which should not be considered a priori the second law of thermodynamics. In the last part of the thesis we concentrate of the so-called fluctuation relations, that are results extending the thermodynamic formalism beyond the behavior of average quantities. After reviewing the main theoretical outcomes, such as the Jarzynski equality and the Crooks fluctuation theorem, we describe a proposal to access experimentally the work performed on an ensemble of diatomic molecules by a time-dependent electric field coupled with their vibrational degree of freedom. This procedure could then be used to test the quantum Jarzynski equality. With respect to the results so far appeared in the literature, in which the left-hand side of the equality is inferred from an experiment and the right-hand side is computed according to a model, in our proposed setting we should be able to estimate from the experiment both the left-hand side and the right-hand side of the equality, independently.
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Günther, Christoph Carl [Verfasser]. "Wet Compression − Considering non-equilibrium Thermodynamics / Christoph Carl Günther." München : Verlag Dr. Hut, 2019. http://d-nb.info/1192568141/34.

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K, Manikandan Sreekanth. "Finite-time non-equilibrium thermodynamics of a colloidal particle." Licentiate thesis, Stockholms universitet, Fysikum, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-155316.

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In this thesis we have thermodynamically characterized finite time processes performed on a colloidal particle, kept in contact with thermal reservoir(s). Thermodynamic processes are implemented on the colloidal particle by systematically changing the confining potential in a time dependent way, according to an external driving protocol or by controlling the environmental conditions over a finite duration. First, we study two externally driven systems: one in which the driving is deterministic, and another where the driving is stochastic. These models have appeared in the literature as the building blocks of microscopic machines such as Brownian heat engines and are hence of interest to analyze. In particular, it is of interest to understand the distribution of work done by the colloidal particle as well as the distribution of heat dissipated. These distributions are known in all generality only in a very few cases. In the work we present here, we determine exactly the asymptotic forms of the work distributions (for a finite time duration of the process), which is shown to have non-Gaussian fluctuations. We also find a method to obtain the exact moment generating function of the work distribution, using which we can explicitly calculate aspects of a recently discovered relation for non-equilibrium systems, namely the thermodynamic uncertainty relation. To our knowledge, our model provides the only non-trivial example of a system where the uncertainty relation can be investigated exactly for all times. We have studied the system in various temporal regimes, and have found interesting features such as a time of minimum uncertainty, which may be relevant for the functioning of microscopic machines. Finally, we discuss, an experimentally realized colloidal heat engine model which consists of a single colloidal particle as the working substance. Exact finite time statistics can be obtained for this model using the methods we discuss in the thesis. We present our preliminary results illustrating this.
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Cinnella, Pasquale. "Flux-split algorithms for flows with non-equilibrium chemistry and thermodynamics." Diss., Virginia Polytechnic Institute and State University, 1989. http://hdl.handle.net/10919/54506.

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New flux-split algorithms are developed for high velocity, high-temperature flow situations, when finite-rate chemistry and non-equilibrium thermodynamics greatly affect the physics of the problem. Two flux-vector-split algorithms, of the Steger-Warming and of the Van Leer type, and one flux-difference-split algorithm of the Roe type are established and utilized for the accurate numerical simulation of flows with dissociation, ionization, and combustion phenomena. Several thermodynamic models are used, including a simplified vibrational non-equilibrium model and an equilibrium model based upon refined statistical mechanics properties. The framework provided is flexible enough to accommodate virtually any chemical model and a wide range of non-equilibrium, multi-temperature thermodynamic models. A theoretical study of the main features of flows with free electrons, for conditions that require the use of two translational temperatures in the thermal model, is developed. Interesting and unexpected results are obtained, because acoustic wave speeds of the symmetric form u±α no longer appear. A simple but powerful asymptotic analysis is developed which allows the establishment of the fundamental gas-dynamic properties of flows with multiple translational temperatures. The new algorithms developed demonstrate their accuracy and robustness for challenging flow problems. The influence of several assumptions on the chemical and thermal behavior of the flows is investigated, and a comparison with results obtained using different numerical approaches, in particular spectral methods, is provided, and proves to be favorable to the present techniques. Other calculations in one and two space dimensions indicate large sensitivities with respect to chemical and thermodynamic modeling. The algorithms developed are of sufficient generality to begin to examine these effects in detail. Preliminary numerical simulations are performed using elementary modeling of transport phenomena.
Ph. D.
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Books on the topic "Non-equilibrium thermodynamics"

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Moreno-Piraján, Juan Carlos. Thermodynamics: Systems in equilibrium and non-equilibrium. Croatia: InTech, 2011.

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Di Vita, Andrea. Non-equilibrium Thermodynamics. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12221-7.

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Lebon, G., D. Jou, and J. Casas-Vázquez. Understanding Non-equilibrium Thermodynamics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-74252-4.

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Bikkin, Halid. Non-equilibrium thermodynamics and physical kinetics. Berlin: Walter de Gruyter GmbH & Co. KG, 2013.

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Mauri, Roberto. Non-Equilibrium Thermodynamics in Multiphase Flows. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5461-4.

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Mauri, Roberto. Non-Equilibrium Thermodynamics in Multiphase Flows. Dordrecht: Springer Netherlands, 2013.

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Dick, Bedeaux, ed. Non-equilibrium thermodynamics of heterogeneous systems. Hackensack, NJ: World Scientific, 2008.

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Muschik, W., ed. Non-Equilibrium Thermodynamics with Application to Solids. Vienna: Springer Vienna, 1993. http://dx.doi.org/10.1007/978-3-7091-4321-6.

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Lebon, G. Understanding non-equilibrium thermodynamics: Foundations, applications, frontiers. Berlin: Springer, 2008.

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D, Jou, and Casas-Vázquez J. 1938-, eds. Understanding non-equilibrium thermodynamics: Foundations, applications, frontiers. Berlin: Springer, 2008.

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Book chapters on the topic "Non-equilibrium thermodynamics"

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Philippi, Paulo Cesar. "Non-equilibrium States." In Thermodynamics, 249–76. Cham: Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-49357-7_7.

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Di Vita, Andrea. "Thermodynamic Equilibrium." In Non-equilibrium Thermodynamics, 7–12. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12221-7_2.

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Hentschke, Reinhard. "Non-Equilibrium Thermodynamics." In Undergraduate Lecture Notes in Physics, 239–79. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36711-3_7.

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Olafsen, Jeffrey. "Non-equilibrium Thermodynamics." In Sturge’s Statistical and Thermal Physics, 297–306. Second edition. | Boca Raton, FL : CRC Press, Taylor & Francis Group, [2019]: CRC Press, 2019. http://dx.doi.org/10.1201/9781315156958-17.

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Scherer, Philipp O. J., and Sighart F. Fischer. "Non-equilibrium Thermodynamics." In Biological and Medical Physics, Biomedical Engineering, 139–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55671-9_10.

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Spanos, T. J. T., and Norman Udey. "Non-Equilibrium Thermodynamics." In The Physics of Composite and Porous Media, 213–32. Boca Raton, FL : CRC Press, Taylor & Francis Group, [2017]: CRC Press, 2017. http://dx.doi.org/10.1201/9781351228329-9.

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Ichikawa, Yasuaki, and A. P. S. Selvadurai. "Non-equilibrium Thermodynamics." In Transport Phenomena in Porous Media, 77–137. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-25333-1_3.

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Sangster, Alan J. "Non-Equilibrium Thermodynamics." In Warming to Ecocide, 43–58. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-926-0_3.

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Hentschke, Reinhard. "Non-equilibrium Thermodynamics." In Undergraduate Lecture Notes in Physics, 281–323. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-93879-6_7.

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Di Vita, Andrea. "Local Thermodynamic Equilibrium." In Non-equilibrium Thermodynamics, 13–28. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12221-7_3.

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Conference papers on the topic "Non-equilibrium thermodynamics"

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Wang, Guanyu, Minchuan Cao, Junwei Deng, Boya Zhang, Wei Liu, and Xingwen Li. "Thermodynamic and Transport Properties of Non-Equilibrium C4F7N Plasmas Format." In 2024 7th International Conference on Electric Power Equipment - Switching Technology (ICEPE-ST), 421–25. IEEE, 2024. https://doi.org/10.1109/icepe-st61894.2024.10792512.

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Komarasamy, Mageshwari, and Glenn Grant. "Material Synthesis and Advanced Manufacturing Without Melting: Advantages of Bulk, High-Shear Processing." In AM-EPRI 2024, 473–82. ASM International, 2024. http://dx.doi.org/10.31399/asm.cp.am-epri-2024p0473.

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Abstract The next generation of materials and assemblies designed to address challenges in power generation, such as molten salt or supercritical carbon dioxide thermal transfer systems, corrosion, creep/fatigue, and higher temperature operation, will likely be highly optimized for their specific performance requirements. This optimization often involves strict control over microstructure, including homogeneity, grain size, texture, and grain boundary phases, as well as precise alloy chemistry and homogeneity. These stringent requirements aim to meet the new demands for bulk mechanical performance and durability. Some advanced materials, like oxide-dispersion strengthened or high-entropy alloys, necessitate specialized synthesis, fabrication, or welding/joining processes. Traditional methods that involve melting and solidifying can compromise the optimized microstructure of these materials, making non-melting synthesis and fabrication methods preferable to preserve their advanced characteristics. This paper presents examples where solid-phase, high-shear processing has produced materials and semi-finished products with superior performance compared to those made using conventional methods. While traditional processing often relies on thermodynamics-driven processes, such as creating precipitate phases through prolonged heat treatment, high-shear processing offers kinetics-driven, non-equilibrium alternatives that can yield high-performance microstructures. Additionally, examples are provided that demonstrate the potential for more cost-effective manufacturing routes due to fewer steps or lower energy requirements. This paper highlights advances in high-shear extrusion processing, including friction extrusion and shear-assisted processing and extrusion, as well as developments in solid-phase welding techniques like friction stir welding for next-generation power plant materials.
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Akpor, Oghenerobor B., Ayotunde O. Ajinde, and Olufemi G. Dayo-Olagbende. "Non-Thermodynamic Equilibrium Plasma, an Oxidation Process for Environmental Protection: Principles, Mechanisms, and Prospects." In 2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG), 1–17. IEEE, 2024. http://dx.doi.org/10.1109/seb4sdg60871.2024.10630325.

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Sciubba, Enrico, and Federico Zullo. "A THERMODYNAMIC NON-EQUILIBRIUM MODEL FOR THE EXPANSION OF A REAL GAS IN A TURBINE CASCADE." In 37th International Conference on Efficiency, Cost, Optimization, Simulation and Environmental Impact of Energy Systems (ECOS 2024), 347–57. Zografos, Greece: ECOS 2024, 2024. http://dx.doi.org/10.52202/077185-0030.

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"Why non-equilibrium thermodynamics?" In Proceedings of the 43rd Course of the International School of Solid State Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814322409_0002.

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GROSS, D. H. E. "ENSEMBLE PROBABILISTIC EQUILIBRIUM AND NON-EQUILIBRIUM THERMODYNAMICS WITHOUT THE THERMODYNAMICAL LIMIT." In Proceedings of the Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810809_0010.

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Rubí, J. Miguel. "Bringing thermodynamics to non-equilibrium microscopic processes." In NONEQUILIBRIUM STATISTICAL PHYSICS TODAY: Proceedings of the 11th Granada Seminar on Computational and Statistical Physics. AIP, 2011. http://dx.doi.org/10.1063/1.3569492.

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Kjelstrup, Signe, Gian Paolo Beretta, Ahmed Ghoniem, and George Hatsopoulos. "Mesoscopic Non-Equilibrium Thermodynamics and Biological Systems." In MEETING THE ENTROPY CHALLENGE: An International Thermodynamics Symposium in Honor and Memory of Professor Joseph H. Keenan. AIP, 2008. http://dx.doi.org/10.1063/1.2979034.

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Basso, Vittorio, Alessandro Sola, Patrizio Ansalone, Michaela Kuepferling, and Massimo Pasquale. "Non-equilibrium thermodynamics of spin-caloritronic effects." In Spintronics XII, edited by Henri-Jean M. Drouhin, Jean-Eric Wegrowe, and Manijeh Razeghi. SPIE, 2019. http://dx.doi.org/10.1117/12.2530096.

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VERHÁS, J. "THE STEPS OF MODELING IN NON-EQUILIBRIUM THERMODYNAMICS." In 101st WE-Heraeus-Seminar. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814503648_0012.

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Reports on the topic "Non-equilibrium thermodynamics"

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Dubrovin, Viktor Vasilievich. Chemical processes within the framework of non-equilibrium thermodynamics Dubrovin Viktor Vasilievich. DOI СODE, 2023. http://dx.doi.org/10.18411/doicode-2023.163.

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Zerkle, D., and H. Krier. Non-Local Thermodynamic Equilibrium in Laser Sustained Plasmas. Fort Belvoir, VA: Defense Technical Information Center, June 1992. http://dx.doi.org/10.21236/ada253389.

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McCartney, L. N., and E. J. Dickinson. Development of consistent local thermodynamic relations for non-equilibrium multi-component fluid systems. National Physical Laboratory, June 2021. http://dx.doi.org/10.47120/npl.mat98.

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Stout, Ray. Non-equilibrium thermodynamic dissolution theory for multi-component solid/liquid surfaces involving surface absorption and radiolysis kinetics. Office of Scientific and Technical Information (OSTI), February 2000. http://dx.doi.org/10.2172/777501.

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Crowley, David, Yitzhak Hadar, and Yona Chen. Rhizosphere Ecology of Plant-Beneficial Microorganisms. United States Department of Agriculture, February 2000. http://dx.doi.org/10.32747/2000.7695843.bard.

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Rhizoferrin, a siderophore produced by Rhizopus arrhizus, has been shown in previous studies to be an outstanding Fe carrier to plants. However, calculations based on stability constants and thermodynamic equilibrium lead to contradicting conclusions. In this study a kinetic approach was employed to elucidate this apparent contradiction and to determine the behavior of rhizoferrin under conditions representing soil and nutrient solutions. Stability of Fe3+ complexes in nutrient solution, rate of metal exchange with Ca, and rate of Fe extraction by the free ligand were monitored for rhizoferrin and other chelating agents by 55Fe labeling. Ferric complexes of rhizoferrin, desferri-ferrioxamine-B (DFOB), and ethylenediamine-di(o-hydroxyphenylacetic acid) (EDDHA) were found to be stable in nutrient solution at pH 7.5 for 31 days, while ferric complexes of ethylenediaminetetraacetic acid (EDTA) and mugineic acid (MA) lost 50% of the chelated Fe within 2 days. Fe-Ca exchange in Ca solutions at pH 8.7 revealed rhizoferrin to hold Fe at non-equilibrium state for 3-4 weeks at 3.3 mM Ca and for longer periods at lower Ca concentrations. EDTA lost the ferric ion at a faster rate under the same conditions. Fe extraction from freshly prepared Fe-hydroxide at pH 8.7 and with 3.2 mM Ca was slow and followed the order. DFOB > EDDHA > MA > rhizoferrin > EDTA. Based on these results we suggest that a kinetic rather than equilibrium approach should be the basis for predictions of Fe-chelates efficiency. We conclude that the non-equilibrium state of rhizoferrin is of crucial importance for its behavior as a Fe carrier to plants.
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Mertens, Christopher J., Martin G. Mlynczak, Manuel Lopez-Puertas, Peter P. Wintersteiner, Richard H. Picard, Jeremy R. Winick, Larry L. Gordley, James M. Russell, and III. Retrieval of Kinetic Temperature and Carbon Dioxide Abundance From Non-Local Thermodynamic Equilibrium Limb Emission Measurements Made by the SABER Experiment on the TIMED Satellite. Fort Belvoir, VA: Defense Technical Information Center, January 2003. http://dx.doi.org/10.21236/ada439211.

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