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Journal articles on the topic 'Entropy production, Stochastic thermodynamics, Non-equilibrium systems'

Author: Grafiati

Published: 9 March 2023

Last updated: 31 July 2025

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1

Shibasaki, Yusuke, and Minoru Saito. "Non-Equilibrium Entropy and Irreversibility in Generalized Stochastic Loewner Evolution from an Information-Theoretic Perspective." Entropy 23, no. 9 (2021): 1098. http://dx.doi.org/10.3390/e23091098.

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In this study, we theoretically investigated a generalized stochastic Loewner evolution (SLE) driven by reversible Langevin dynamics in the context of non-equilibrium statistical mechanics. Using the ability of Loewner evolution, which enables encoding of non-equilibrium systems into equilibrium systems, we formulated the encoding mechanism of the SLE by Gibbs entropy-based information-theoretic approaches to discuss its advantages as a means to better describe non-equilibrium systems. After deriving entropy production and flux for the 2D trajectories of the generalized SLE curves, we reformul

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2

Ding, Mingnan, Jun Wu, and Xiangjun Xing. "Stochastic thermodynamics of micromagnetics." Journal of Statistical Mechanics: Theory and Experiment 2024, no. 8 (2024): 083214. http://dx.doi.org/10.1088/1742-5468/ad6c2f.

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Abstract In this work, we study the stochastic thermodynamics of micro-magnetic systems. We first formulate the stochastic dynamics of micro-magnetic systems by incorporating noises into the Landau–Lifshitz (LL) equation, which describes the irreversible and deterministic dynamics of magnetic moments. The resulting stochastic LL equation obeys detailed balance, which guarantees that, with the external field fixed, the system converges to thermodynamic equilibrium with vanishing entropy production and with non-vanishing probability current. We then discuss various thermodynamic variables both a

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3

Borlenghi, Simone, and Anna Delin. "Stochastic Thermodynamics of Oscillators’ Networks." Entropy 20, no. 12 (2018): 992. http://dx.doi.org/10.3390/e20120992.

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We apply the stochastic thermodynamics formalism to describe the dynamics of systems of complex Langevin and Fokker-Planck equations. We provide in particular a simple and general recipe to calculate thermodynamical currents, dissipated and propagating heat for networks of nonlinear oscillators. By using the Hodge decomposition of thermodynamical forces and fluxes, we derive a formula for entropy production that generalises the notion of non-potential forces and makes transparent the breaking of detailed balance and of time reversal symmetry for states arbitrarily far from equilibrium. Our for

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Fodor, Étienne, Robert L. Jack, and Michael E. Cates. "Irreversibility and Biased Ensembles in Active Matter: Insights from Stochastic Thermodynamics." Annual Review of Condensed Matter Physics 13, no. 1 (2022): 215–38. http://dx.doi.org/10.1146/annurev-conmatphys-031720-032419.

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Active systems evade the rules of equilibrium thermodynamics by constantly dissipating energy at the level of their microscopic components. This energy flux stems from the conversion of a fuel, present in the environment, into sustained individual motion. It can lead to collective effects without any equilibrium equivalent, some of which can be rationalized by using equilibrium tools to recapitulate nonequilibrium transitions. An important challenge is then to delineate systematically to what extent the character of these active transitions is genuinely distinct from equilibrium analogs. We re

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Cocconi, Luca, Rosalba Garcia-Millan, Zigan Zhen, Bianca Buturca, and Gunnar Pruessner. "Entropy Production in Exactly Solvable Systems." Entropy 22, no. 11 (2020): 1252. http://dx.doi.org/10.3390/e22111252.

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The rate of entropy production by a stochastic process quantifies how far it is from thermodynamic equilibrium. Equivalently, entropy production captures the degree to which global detailed balance and time-reversal symmetry are broken. Despite abundant references to entropy production in the literature and its many applications in the study of non-equilibrium stochastic particle systems, a comprehensive list of typical examples illustrating the fundamentals of entropy production is lacking. Here, we present a brief, self-contained review of entropy production and calculate it from first princ

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Wampler, Taylor, and Andre C. Barato. "Skewness and kurtosis in stochastic thermodynamics." Journal of Physics A: Mathematical and Theoretical 55, no. 1 (2021): 014002. http://dx.doi.org/10.1088/1751-8121/ac3b0c.

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Abstract The thermodynamic uncertainty relation is a prominent result in stochastic thermodynamics that provides a bound on the fluctuations of any thermodynamic flux, also known as current, in terms of the average rate of entropy production. Such fluctuations are quantified by the second moment of the probability distribution of the current. The role of higher order standardized moments such as skewness and kurtosis remains largely unexplored. We analyze the skewness and kurtosis associated with the first passage time of thermodynamic currents within the framework of stochastic thermodynamics

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Sorkin, Benjamin, Gil Ariel, and Tomer Markovich. "Consistent expansion of the Langevin propagator with application to entropy production." Journal of Statistical Mechanics: Theory and Experiment 2025, no. 1 (2025): 013208. https://doi.org/10.1088/1742-5468/ad99c8.

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Abstract Stochastic thermodynamics is a developing theory for systems out of thermal equilibrium. It allows us to formulate a wealth of nontrivial connections between thermodynamic quantities (such as heat dissipation, excess work, and entropy production) and the statistics of trajectories in generic nonequilibrium stochastic processes. A key quantity for the derivation of these relations is the propagator — the probability to observe a transition from one point in phase space to another after a given time. Here, applying stochastic Taylor expansions, we devise a formal short-time expansion pr

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8

Xing, Xiu-San. "On the Fundamental Equation of Nonequilibrium Statistical Physics." International Journal of Modern Physics B 12, no. 20 (1998): 2005–29. http://dx.doi.org/10.1142/s0217979298001174.

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In this paper we proposed a new fundamental equation of statistical physics in place of the Liouville equation. That is the anomalous Langevin equation in Γ space or its equivalent Liouville diffusion equation of time-reversal asymmetry. This equation reflects that the form of motion of particles in statistical thermodynamic systems has the drift-diffusion duality and the law of motion of statistical thermodynamics is stochastic in essence, but not completely deterministic. Starting from this equation the BBGKY diffusion equation hierarchy, the law of entropy increase, the theorem of minimum e

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Karbowski, Jan. "Information Thermodynamics: From Physics to Neuroscience." Entropy 26, no. 9 (2024): 779. http://dx.doi.org/10.3390/e26090779.

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This paper provides a perspective on applying the concepts of information thermodynamics, developed recently in non-equilibrium statistical physics, to problems in theoretical neuroscience. Historically, information and energy in neuroscience have been treated separately, in contrast to physics approaches, where the relationship of entropy production with heat is a central idea. It is argued here that also in neural systems, information and energy can be considered within the same theoretical framework. Starting from basic ideas of thermodynamics and information theory on a classic Brownian pa

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Auconi, Andrea, Andrea Giansanti, and Edda Klipp. "Information Thermodynamics for Time Series of Signal-Response Models." Entropy 21, no. 2 (2019): 177. http://dx.doi.org/10.3390/e21020177.

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The entropy production in stochastic dynamical systems is linked to the structure of their causal representation in terms of Bayesian networks. Such a connection was formalized for bipartite (or multipartite) systems with an integral fluctuation theorem in [Phys. Rev. Lett. 111, 180603 (2013)]. Here we introduce the information thermodynamics for time series, that are non-bipartite in general, and we show that the link between irreversibility and information can only result from an incomplete causal representation. In particular, we consider a backward transfer entropy lower bound to the condi

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11

Braak, D., and J. Mannhart. "Fermi’s Golden Rule and the Second Law of Thermodynamics." Foundations of Physics 50, no. 11 (2020): 1509–40. http://dx.doi.org/10.1007/s10701-020-00380-2.

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AbstractWe present a Gedankenexperiment that leads to a violation of detailed balance if quantum mechanical transition probabilities are treated in the usual way by applying Fermi’s “golden rule”. This Gedankenexperiment introduces a collection of two-level systems that absorb and emit radiation randomly through non-reciprocal coupling to a waveguide, as realized in specific chiral quantum optical systems. The non-reciprocal coupling is modeled by a hermitean Hamiltonian and is compatible with the time-reversal invariance of unitary quantum dynamics. Surprisingly, the combination of non-recipr

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Clarke, Claudia L., and Ian J. Ford. "Stochastic Entropy Production Associated with Quantum Measurement in a Framework of Markovian Quantum State Diffusion." Entropy 26, no. 12 (2024): 1024. http://dx.doi.org/10.3390/e26121024.

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The reduced density matrix that characterises the state of an open quantum system is a projection from the full density matrix of the quantum system and its environment, and there are many full density matrices consistent with a given reduced version. Without a specification of relevant details of the environment, the time evolution of a reduced density matrix is therefore typically unpredictable, even if the dynamics of the full density matrix are deterministic. With this in mind, we investigate a two-level open quantum system using a framework of quantum state diffusion. We consider the pseu

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Muschik, Wolfgang. "Thermodynamical Foundations of Closed Discrete Non-Equilibrium Systems." Journal of Non-Equilibrium Thermodynamics 47, no. 2 (2022): 227–31. http://dx.doi.org/10.1515/jnet-2021-0064.

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Abstract Some tools of Non-Equilibrium Thermodynamics of closed discrete systems are considered: the non-equilibrium state space, the non-equilibrium entropy as a state function and its connection with the entropy production, Clausius’ inequality, equilibrium and accompanying processes. Why can the thermostatic temperature be used successfully in thermal engineering even in cases of non-equilibrium?

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Muschik, Wolfgang. "Covariant Relativistic Non-Equilibrium Thermodynamics of Multi-Component Systems." Entropy 21, no. 11 (2019): 1034. http://dx.doi.org/10.3390/e21111034.

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Non-equilibrium and equilibrium thermodynamics of an interacting component in a relativistic multi-component system is discussed covariantly by exploiting an entropy identity. The special case of the corresponding free component is considered. Equilibrium conditions and especially the multi-component Killing relation of the 4-temperature are discussed. Two axioms characterize the mixture: additivity of the energy momentum tensors and additivity of the 4-entropies of the components generating those of the mixture. The resulting quantities of a single component and of the mixture as a whole, ene

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Chen, Quanrui. "Thermodynamic Perspectives on Molecular Motors: Energy Conversion, Efficiency, and Non-equilibrium Dynamics." Theoretical and Natural Science 125, no. 1 (2025): 1–7. https://doi.org/10.54254/2753-8818/2025.gl24596.

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Molecular motors are sophisticated protein complexes that transform chemical energy into directed mechanical motion, underpinning critical cellular processes such as intracellular transport, cell division, and muscle contraction. Operating far from equilibrium, these motors challenge classical thermodynamic descriptions, necessitating frameworks like stochastic thermodynamics and fluctuation theorems to describe their energy conversion, efficiency, and entropy production quantitatively. This review synthesizes theoretical understandings of molecular motor operation, highlighting the integratio

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Capotosto, Salvatore, Bailey Smoot, Randal Hallford, and Preet Sharma. "Entropy Production, Entropy Generation, and Fokker-Planck Equations for Cancer Cell Growth." Physics 1, no. 1 (2019): 147–53. http://dx.doi.org/10.3390/physics1010014.

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It is rather difficult to understand biological systems from a physics point of view, and understanding systems such as cancer is even more challenging. There are many factors affecting the dynamics of a cancer cell, and they can be understood approximately. We can apply the principles of non-equilibrium statistical mechanics and thermodynamics to have a greater understanding of such systems. Very much like other systems, living systems also transform energy and matter during metabolism, and according to the First Law of Thermodynamics, this could be described as a capacity to transform energy

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17

Kolesnichenko, Aleksandr Vladimirovich. "On the construction of a family of anomalous-diffusion Fokker–Planck−Kolmogorov’s equations based on the Sharma–Taneja–Mittal entropy functional." Mathematica Montisnigri 51 (August 2021): 74–95. http://dx.doi.org/10.20948/mathmontis-2021-51-6.

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A logical scheme for constructing thermodynamics of anomalous stochastic systems based on the nonextensive two-parameter (κ, ς) -entropy of Sharma–Taneja–Mittal (SHTM) is considered. Thermodynamics within the framework (2 - q) -statistics of Tsallis was constructed, which belongs to the STM family of statistics. The approach of linear nonequilibrium thermodynamics to the construction of a family of nonlinear equations of Fokker−Planck−Kolmogorov (FPK), is used, correlated with the entropy of the STM, in which the stationary solution of the diffusion equation coincides with the corresponding ge

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18

Niven, Robert K. "Minimization of a free-energy-like potential for non-equilibrium flow systems at steady state." Philosophical Transactions of the Royal Society B: Biological Sciences 365, no. 1545 (2010): 1323–31. http://dx.doi.org/10.1098/rstb.2009.0296.

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This study examines a new formulation of non-equilibrium thermodynamics, which gives a conditional derivation of the ‘maximum entropy production’ (MEP) principle for flow and/or chemical reaction systems at steady state. The analysis uses a dimensionless potential function ϕ st for non-equilibrium systems, analogous to the free energy concept of equilibrium thermodynamics. Spontaneous reductions in ϕ st arise from increases in the ‘flux entropy’ of the system—a measure of the variability of the fluxes—or in the local entropy production; conditionally, depending on the behaviour of the flux ent

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Pineda, Miguel, and Michail Stamatakis. "Non-Equilibrium Thermodynamics and Stochastic Dynamics of a Bistable Catalytic Surface Reaction." Entropy 20, no. 11 (2018): 811. http://dx.doi.org/10.3390/e20110811.

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Catalytic surface reaction networks exhibit nonlinear dissipative phenomena, such as bistability. Macroscopic rate law descriptions predict that the reaction system resides on one of the two steady-state branches of the bistable region for an indefinite period of time. However, the smaller the catalytic surface, the greater the influence of coverage fluctuations, given that their amplitude normally scales as the square root of the system size. Thus, one can observe fluctuation-induced transitions between the steady-states. In this work, a model for the bistable catalytic CO oxidation on small

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Martyushev, Leonid M. "The maximum entropy production principle: two basic questions." Philosophical Transactions of the Royal Society B: Biological Sciences 365, no. 1545 (2010): 1333–34. http://dx.doi.org/10.1098/rstb.2009.0295.

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The overwhelming majority of maximum entropy production applications to ecological and environmental systems are based on thermodynamics and statistical physics. Here, we discuss briefly maximum entropy production principle and raises two questions: (i) can this principle be used as the basis for non-equilibrium thermodynamics and statistical mechanics and (ii) is it possible to ‘prove’ the principle? We adduce one more proof which is most concise today.

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21

Kleidon, Axel. "Non-equilibrium thermodynamics, maximum entropy production and Earth-system evolution." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1910 (2010): 181–96. http://dx.doi.org/10.1098/rsta.2009.0188.

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The present-day atmosphere is in a unique state far from thermodynamic equilibrium. This uniqueness is for instance reflected in the high concentration of molecular oxygen and the low relative humidity in the atmosphere. Given that the concentration of atmospheric oxygen has likely increased throughout Earth-system history, we can ask whether this trend can be generalized to a trend of Earth-system evolution that is directed away from thermodynamic equilibrium, why we would expect such a trend to take place and what it would imply for Earth-system evolution as a whole. The justification for su

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22

Lisitsyn, Viktor, Nikolai Matveev, Nina Kamalova, and Natalya Evsikova. "Maximum entropy production principle in forest dynamics modelling." BIO Web of Conferences 145 (2024): 03005. http://dx.doi.org/10.1051/bioconf/202414503005.

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Forest ecosystems are vivid representatives of open non-equilibrium systems. The existence of extreme principles in “ecological thermodynamics” is a subject of discussion in the works of many physicists, ecologists and researchers dealing with non-equilibrium thermodynamics. At the same time, the problem of the connection between the principles of maximum and minimum entropy production has been studied in detail enough in the works of L. M. Martyushev et al. However, for forest ecosystems, the works that point out the connection of these fundamental principles are clearly insufficient. Usually

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Muratore-Ginanneschi, Paolo, and Luca Peliti. "Classical uncertainty relations and entropy production in non-equilibrium statistical mechanics." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 8 (2023): 083202. http://dx.doi.org/10.1088/1742-5468/ace3b3.

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Abstract We analyze Fürth’s 1933 classical uncertainty relations in the modern language of stochastic differential equations. Our interest is motivated by their application to non-equilibrium classical statistical mechanics. We show that Fürth’s uncertainty relations are a property inherent in martingales within the framework of a diffusion process. This result implies a lower bound on the fluctuations in current velocities of entropic quantifiers associated with transitions in stochastic thermodynamics. In cases of particular interest, we recover a well-known inequality for optimal mass trans

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Kim, Eun-jin. "Information Geometry, Fluctuations, Non-Equilibrium Thermodynamics, and Geodesics in Complex Systems." Entropy 23, no. 11 (2021): 1393. http://dx.doi.org/10.3390/e23111393.

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Information theory provides an interdisciplinary method to understand important phenomena in many research fields ranging from astrophysical and laboratory fluids/plasmas to biological systems. In particular, information geometric theory enables us to envision the evolution of non-equilibrium processes in terms of a (dimensionless) distance by quantifying how information unfolds over time as a probability density function (PDF) evolves in time. Here, we discuss some recent developments in information geometric theory focusing on time-dependent dynamic aspects of non-equilibrium processes (e.g.

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Lu, Yiming. "Microscopic Interpretation and Macroscopic Applications of the Second Law of Thermodynamics." Theoretical and Natural Science 109, no. 1 (2025): 181–87. https://doi.org/10.54254/2753-8818/2025.gl24074.

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The second law of thermodynamics, a fundamental principle of nature, reveals the unidirectional evolution of isolated systems toward equilibrium through the concept of entropy increase. This study explores the microscopic essence of the law from a statistical mechanics perspective, demonstrating that systems naturally evolve toward states of maximum probability. It also examines how this principle manifests across different scales. By analyzing the derivation of entropy production criteria, the study unveils the physical connotation of entropy and its role in equilibrium and non-equilibrium sy

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Arango-Restrepo, Andrés, Juan David Torrenegra-Rico, and J. Miguel Rubi. "Entropy Production in a System of Janus Particles." Entropy 27, no. 2 (2025): 112. https://doi.org/10.3390/e27020112.

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Entropy production is a key descriptor of out-of-equilibrium behavior in active matter systems, providing insights into both single-particle dynamics and emergent collective phenomena. It helps determine transport coefficients and phoretic velocities and serves as a crucial tool for understanding collective phenomena such as structural transitions, regime shifts, clustering, and self-organization. This study investigates the role of entropy production for individual active (catalytic Janus) particles and in systems of active particles interacting with one another and their environment. We empl

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Vellela, Melissa, and Hong Qian. "Stochastic dynamics and non-equilibrium thermodynamics of a bistable chemical system: the Schlögl model revisited." Journal of The Royal Society Interface 6, no. 39 (2008): 925–40. http://dx.doi.org/10.1098/rsif.2008.0476.

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Schlögl's model is the canonical example of a chemical reaction system that exhibits bistability. Because the biological examples of bistability and switching behaviour are increasingly numerous, this paper presents an integrated deterministic, stochastic and thermodynamic analysis of the model. After a brief review of the deterministic and stochastic modelling frameworks, the concepts of chemical and mathematical detailed balances are discussed and non-equilibrium conditions are shown to be necessary for bistability. Thermodynamic quantities such as the flux, chemical potential and entropy pr

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Reinke, Nico, André Fuchs, Daniel Nickelsen, and Joachim Peinke. "On universal features of the turbulent cascade in terms of non-equilibrium thermodynamics." Journal of Fluid Mechanics 848 (June 5, 2018): 117–53. http://dx.doi.org/10.1017/jfm.2018.360.

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Features of the turbulent cascade are investigated for various datasets from three different turbulent flows, namely free jets as well as wake flows of a regular grid and a cylinder. The analysis is focused on the question as to whether fully developed turbulent flows show universal small-scale features. Two approaches are used to answer this question. First, two-point statistics, namely structure functions of longitudinal velocity increments, and, second, joint multiscale statistics of these velocity increments are analysed. The joint multiscale characterisation encompasses the whole cascade

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Wene, Clas-Otto. "A cybernetic view on learning curves and energy policy." Kybernetes 44, no. 6/7 (2015): 852–65. http://dx.doi.org/10.1108/k-01-2015-0014.

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Purpose – The purpose of this paper is to demonstrate that cybernetic theory explains learning curves and sets the curves as legitimate and efficient tools for a pro-active energy technology policy. Design/methodology/approach – The learning system is a non-trivial machine that is kept in non-equilibrium steady state at minimum entropy production by competitive, equilibrium markets. The system has operational closure and the learning curve expresses its eigenbehaviour. This eigenbehaviour is analysed not in calendar time but in the characteristic time of the system, i.e., its eigentime. Measur

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Abourabia, A. M., and T. Z. Abdel Wahid. "The unsteady Boltzmann kinetic equation and non-equilibrium thermodynamics of an electron gas for the Rayleigh flow problem." Canadian Journal of Physics 88, no. 7 (2010): 501–11. http://dx.doi.org/10.1139/p10-032.

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In the framework of irreversible thermodynamics, the characteristics of the Rayleigh flow problem of a rarified electron gas extracted from neutral atoms is examined and proved to obey the entropic behavior for gas systems. A model kinetic equation of the BGK (Bhatnager–Gross–Krook) type is solved, using the method of moments with a two-sided distribution function. Various macroscopic properties of the electron gas, such as the mean velocity, the shear stress, and the viscosity coefficient, together with the induced electric and magnetic fields, are investigated with respect to both distance a

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Loos, Sarah A. M., Simon Hermann, and Sabine H. L. Klapp. "Medium Entropy Reduction and Instability in Stochastic Systems with Distributed Delay." Entropy 23, no. 6 (2021): 696. http://dx.doi.org/10.3390/e23060696.

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Many natural and artificial systems are subject to some sort of delay, which can be in the form of a single discrete delay or distributed over a range of times. Here, we discuss the impact of this distribution on (thermo-)dynamical properties of time-delayed stochastic systems. To this end, we study a simple classical model with white and colored noise, and focus on the class of Gamma-distributed delays which includes a variety of distinct delay distributions typical for feedback experiments and biological systems. A physical application is a colloid subject to time-delayed feedback control, w

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Bartelt, Perry, Othmar Buser, and Martin Kern. "Dissipated work, stability and the internal flow structure of granular snow avalanches." Journal of Glaciology 51, no. 172 (2005): 125–38. http://dx.doi.org/10.3189/172756505781829638.

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AbstractWe derive work dissipation functionals for granular snow avalanches flowing in simple shear. Our intent is to apply constructive theorems of non-equilibrium thermodynamics to the snow avalanche problem. Snow chute experiments show that a bi-layer system consisting of a non-yielded flow plug overriding a sheared fluidized layer can be used to model avalanche flow. We show that for this type of constitutive behaviour the dissipation functionals are minimum at steady state with respect to variations in internal velocity; however, the functionals must be constrained by subsidiary mass- con

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Goupil, Christophe, and Eric Herbert. "Adapted or Adaptable: How to Manage Entropy Production?" Entropy 22, no. 1 (2019): 29. http://dx.doi.org/10.3390/e22010029.

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Adaptable or adapted? Whether it is a question of physical, biological, or even economic systems, this problem arises when all these systems are the location of matter and energy conversion. To this interdisciplinary question, we propose a theoretical framework based on the two principles of thermodynamics. Considering a finite time linear thermodynamic approach, we show that non-equilibrium systems operating in a quasi-static regime are quite deterministic as long as boundary conditions are correctly defined. The Novikov–Curzon–Ahlborn derivation applied to non-endoreversible systems then mak

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Webb, Caleb Merrick, and Charles Allen Stafford. "How to Partition a Quantum Observable." Entropy 26, no. 7 (2024): 611. http://dx.doi.org/10.3390/e26070611.

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We present a partition of quantum observables in an open quantum system that is inherited from the division of the underlying Hilbert space or configuration space. It is shown that this partition leads to the definition of an inhomogeneous continuity equation for generic, non-local observables. This formalism is employed to describe the local evolution of the von Neumann entropy of a system of independent quantum particles out of equilibrium. Crucially, we find that all local fluctuations in the entropy are governed by an entropy current operator, implying that the production of entanglement e

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Kleidon, A. "A basic introduction to the thermodynamics of the Earth system far from equilibrium and maximum entropy production." Philosophical Transactions of the Royal Society B: Biological Sciences 365, no. 1545 (2010): 1303–15. http://dx.doi.org/10.1098/rstb.2009.0310.

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The Earth system is remarkably different from its planetary neighbours in that it shows pronounced, strong global cycling of matter. These global cycles result in the maintenance of a unique thermodynamic state of the Earth's atmosphere which is far from thermodynamic equilibrium (TE). Here, I provide a simple introduction of the thermodynamic basis to understand why Earth system processes operate so far away from TE. I use a simple toy model to illustrate the application of non-equilibrium thermodynamics and to classify applications of the proposed principle of maximum entropy production (MEP

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Serdyukov, Sergey. "Macroscopic Entropy of Non-Equilibrium Systems and Postulates of Extended Thermodynamics: Application to Transport Phenomena and Chemical Reactions in Nanoparticles." Entropy 20, no. 10 (2018): 802. http://dx.doi.org/10.3390/e20100802.

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In this work, we consider extended irreversible thermodynamics in assuming that the entropy density is a function of both common thermodynamic variables and their higher-order time derivatives. An expression for entropy production, and the linear phenomenological equations describing diffusion and chemical reactions, are found in the context of this approach. Solutions of the sets of linear equations with respect to fluxes and their higher-order time derivatives allow the coefficients of diffusion and reaction rate constants to be established as functions of size of the nanosystems in which th

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Akbarpour, Sudabeh, Akram S. Sefiedgar, and Narges Rashidi. "Non-equilibrium thermodynamics in f(R, T) gravity and dark energy." Physica Scripta 99, no. 12 (2024): 125029. http://dx.doi.org/10.1088/1402-4896/ad8fdf.

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Abstract Modifying general relativity may be a suitable approach to solve the dark energy problem. Among the various theories of modified gravity, we consider the f(R, T) gravity, in which R is the Ricci scalar and T is the trace of the energy-momentum tensor. As an intriguing property, the conservation equation does not hold in f(R, T) gravity. It means that the divergence of the energy-momentum tensor does not vanish. Using the formalism of irreversible thermodynamics of open systems in the presence of matter creation or matter annihilation, one can explore the physical interpretation of non

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Strang, Alexander. "A Theoretical Review of Area Production Rates as Test Statistics for Detecting Nonequilibrium Dynamics in Ornstein–Uhlenbeck Processes." Axioms 13, no. 12 (2024): 820. http://dx.doi.org/10.3390/axioms13120820.

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A stochastic process is at thermodynamic equilibrium if it obeys time-reversal symmetry; forward and reverse time are statistically indistinguishable at a steady state. Nonequilibrium processes break time-reversal symmetry by maintaining circulating probability currents. In physical processes, these currents require a continual use and exchange of energy. Accordingly, signatures of nonequilibrium behavior are important markers of energy use in biophysical systems. In this article, we consider a particular signature of nonequilibrium behavior: area production rates. These are the average rate a

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Juretić, Davor. "Exploring the Evolution-Coupling Hypothesis: Do Enzymes’ Performance Gains Correlate with Increased Dissipation?" Entropy 27, no. 4 (2025): 365. https://doi.org/10.3390/e27040365.

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The research literature presents divergent opinions regarding the role of dissipation in living systems, with views ranging from it being useless to it being essential for driving life. The implications of universal thermodynamic evolution are often overlooked or considered controversial. A higher rate of entropy production indicates faster thermodynamic evolution. We calculated enzyme-associated dissipation under steady-state conditions using minimalistic models of enzyme kinetics when all microscopic rate constants are known. We found that dissipation is roughly proportional to the turnover

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Dobovišek, Andrej, Marko Vitas, Tina Blaževič, Rene Markovič, Marko Marhl, and Aleš Fajmut. "Self-Organization of Enzyme-Catalyzed Reactions Studied by the Maximum Entropy Production Principle." International Journal of Molecular Sciences 24, no. 10 (2023): 8734. http://dx.doi.org/10.3390/ijms24108734.

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The self-organization of open reaction systems is closely related to specific mechanisms that allow the export of internally generated entropy from systems to their environment. According to the second law of thermodynamics, systems with effective entropy export to the environment are better internally organized. Therefore, they are in thermodynamic states with low entropy. In this context, we study how self-organization in enzymatic reactions depends on their kinetic reaction mechanisms. Enzymatic reactions in an open system are considered to operate in a non-equilibrium steady state, which i

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Startsev, Anatolii. "Entropy of the surface catalytic reaction: Expansion of the advanced H2S paradigm to novel catalytic systems." European Journal of Chemistry 15, no. 2 (2024): 186–93. http://dx.doi.org/10.5155/eurjchem.15.2.186-193.2518.

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The main provisions of the recently developed concept of the crucial role of catalysts in the process of low-temperature decomposition of H2S to produce hydrogen and elemental sulfur are considered. The concept is based on the non-equilibrium thermodynamics of an irreversible process in an open system. It is shown that irreversible chemical reactions prohibited in the gas phase take place on the catalyst surface under conditions of non-equilibrium thermodynamics at ambient temperature and pressure. This became possible due to the Gibbs free energy accumulated on the catalyst surface as a resul

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Brodeur, Nicolas, Sean R. Notley, Glen P. Kenny, André Longtin, and Andrew J. E. Seely. "Continuous Monitoring of Entropy Production and Entropy Flow in Humans Exercising under Heat Stress." Entropy 25, no. 9 (2023): 1290. http://dx.doi.org/10.3390/e25091290.

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Complex living systems, such as the human organism, are characterized by their self-organized and dissipative behaviors, where irreversible processes continuously produce entropy internally and export it to the environment; however, a means by which to measure human entropy production and entropy flow over time is not well-studied. In this article, we leverage prior experimental data to introduce an experimental approach for the continuous measurement of external entropy flow (released to the environment) and internal entropy production (within the body), using direct and indirect calorimetry,

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Sadiki, Amsini, Senda Agrebi, and Florian Ries. "Entropy Generation Analysis in Turbulent Reacting Flows and Near Wall: A Review." Entropy 24, no. 8 (2022): 1099. http://dx.doi.org/10.3390/e24081099.

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This paper provides a review of different contributions dedicated thus far to entropy generation analysis (EGA) in turbulent combustion systems. We account for various parametric studies that include wall boundedness, flow operating conditions, combustion regimes, fuels/alternative fuels and application geometries. Special attention is paid to experimental and numerical modeling works along with selected applications. First, the difficulties of performing comprehensive experiments that may support the understanding of entropy generation phenomena are outlined. Together with practical applicati

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Cimmelli, Vito Antonio. "Entropy Principle and Shock-Wave Propagation in Continuum Physics." Mathematics 11, no. 1 (2022): 162. http://dx.doi.org/10.3390/math11010162.

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According to second law of thermodynamics, the local entropy production must be nonnegative for arbitrary thermodynamic processes. In 1996, Muschik and Ehrentraut observed that such a constraint can be fulfilled in two different ways: either by postulating a suitable form of the constitutive equations, or by selecting among the solutions of the systems of balance laws those which represent physically realizable thermodynamic processes. Hence, they proposed an amendment to the second law which assumes that reversible process directions in state space exist only in correspondence with equilibriu

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FRANK, T. D. "COLLECTIVE BEHAVIOR OF BIOPHYSICAL SYSTEMS WITH THERMODYNAMIC FEEDBACK LOOPS: A CASE STUDY FOR A NONLINEAR MARKOV MODEL — THE TAKATSUJI SYSTEM." Modern Physics Letters B 25, no. 08 (2011): 551–68. http://dx.doi.org/10.1142/s0217984911025845.

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We study order–disorder transitions and the emergence of collective behavior using a particular mean field model: the dynamic Takatsuji system. This model satisfies linear non-equilibrium thermodynamics and can be described in terms of a nonlinear Markov process defined by a nonlinear Fokker–Planck equation, that is, an evolution equation that is nonlinear with respect to its probability density. We discuss quantitatively the impact of a feedback loop that involves a macroscopic, thermodynamic variable. We demonstrate by means of semi-analytical methods and numerical simulations that the feedb

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Roach, Ty N. F., Peter Salamon, James Nulton, et al. "Application of Finite-Time and Control Thermodynamics to Biological Processes at Multiple Scales." Journal of Non-Equilibrium Thermodynamics 43, no. 3 (2018): 193–210. http://dx.doi.org/10.1515/jnet-2018-0008.

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AbstractAn overall synthesis of biology and non-equilibrium thermodynamics remains a challenge at the interface between the physical and life sciences. Herein, theorems from finite-time and control thermodynamics are applied to biological processes to indicate which biological strategies will succeed over different time scales. In general, living systems maximize power at the expense of efficiency during the early stages of their development while proceeding at slower rates to maximize efficiency over longer time scales. The exact combination of yield and power depends upon the constraints on

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Hemesh mysore. "Quantum biology and non-equilibrium quantum thermodynamics of oral bio-networks: A paradigm shift in predictive, preventive and personalized dentistry." International Journal of Science and Research Archive 16, no. 1 (2025): 529–43. https://doi.org/10.30574/ijsra.2025.16.1.1901.

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The landscape of biological understanding is undergoing a profound transformation, moving beyond classical biochemical frameworks to embrace the principles of quantum mechanics and non-equilibrium thermodynamics. This report outlines a novel paradigm for oral health, conceptualizing the oral cavity as a complex quantum-thermodynamic bio-network. This perspective suggests that biological systems do not merely tolerate quantum effects but actively leverage them for enhanced efficiency and resilience, indicating a deep, inherent quantum advantage in life’s fundamental operations. The report explo

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Donskoy, Igor. "On the Existence and Applicability of Extremal Principles in the Theory of Irreversible Processes: A Critical Review." Energies 15, no. 19 (2022): 7152. http://dx.doi.org/10.3390/en15197152.

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A brief review of the development of ideas on extremal principles in the theory of heat and mass transfer processes (including those in reacting media) is given. The extremal principles of non-equilibrium thermodynamics are critically examined. Examples are shown in which the mechanical use of entropy production-based principles turns out to be inefficient and even contradictory. The main problem of extremal principles in the theory of irreversible processes is the impossibility of their generalization, often even within the framework of a class of problems. Alternative extremal formulations a

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Oh, Sangchul, Jung Jun Park, and Hyunchul Nha. "Quantum Photovoltaic Cells Driven by Photon Pulses." Entropy 22, no. 6 (2020): 693. http://dx.doi.org/10.3390/e22060693.

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We investigate the quantum thermodynamics of two quantum systems, a two-level system and a four-level quantum photocell, each driven by photon pulses as a quantum heat engine. We set these systems to be in thermal contact only with a cold reservoir while the heat (energy) source, conventionally given from a hot thermal reservoir, is supplied by a sequence of photon pulses. The dynamics of each system is governed by a coherent interaction due to photon pulses in terms of the Jaynes-Cummings Hamiltonian together with the system-bath interaction described by the Lindblad master equation. We calcu

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Kolesnik, E. A., та M. A. Derkho. "To the Problem of Physiological Adaptive Homeostasis In the Model of the Organism of Warm-Blooded Animals (а review)". Bulletin of Chelyabinsk State University. Education and Healthcare 4, № 12 (2020): 15–30. https://doi.org/10.6084/m9.figshare.16866820.v2.

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The purpose of the work is a review theoretical description of some biophysical mechanisms of physiological adaptation of homeostasis of a homoiothermal animal in relation to the conditions of the environment of vital activity. Erwin Schrödinger, for the first time, described negentropy as the leading criterion for distinguishing a living system from an don’t living. It was figuratively noted that the biosystem «feeds on negative entropy», attracting the flow of negentropy (negative entropy) to itself (metabolism), which it produces (anabolism and catabolism) and thus ma

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