Academic literature on the topic 'Entropy production, Stochastic thermodynamics, Non-equilibrium systems'

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

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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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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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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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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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Dissertations / Theses on the topic "Entropy production, Stochastic thermodynamics, Non-equilibrium systems"

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Busiello, Daniel Maria. "Entropy production in non-equilibrium systems." Doctoral thesis, Università degli studi di Padova, 2018. http://hdl.handle.net/11577/3422682.

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In this thesis we study the entropy production of systems out of equilibrium. Initially we focus on discrete-state systems close to equilibrium amenable to be described by a master equation. It is possible to map the dynamics into a network of states, represented by nodes, connected by transition rates, identified by links. Using this framework, we analyze the entropy production of ensembles of randomly generated networks with specific constraints, for example size or symmetries, and identify the most important parameters which determine its value. This analysis provides an estimation for the
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LEGGIO, Bruno. "Quantum fluctuations and correlations in equilibrium and nonequilibrium thermodynamics." Doctoral thesis, Università degli Studi di Palermo, 2014. http://hdl.handle.net/10447/90914.

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BUSIELLO, DANIEL MARIA. "Entropy production in non-equilibrium systems." Doctoral thesis, 2018. http://hdl.handle.net/11577/3254711.

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In questa tesi studiamo la produzione di entropia in sistemi fuori dall'equilibrio. Nella prima parte ci concentriamo su sistemi con un numero finito di stati, vicini all'equilibrio termodinamico, che possono essere descritti da una Master Equation. Per sistemi di questo tipo è possibile mappare la dinamica in una rete di stati, rappresentati da nodi, collegati da rate di transizione, identificati da links. In questo contesto, analizziamo la produzione di entropia di ensemble di reti generate casualmente con vincoli specifici, ad esempio la taglia del sistema, e identifichiamo i parametri più
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Books on the topic "Entropy production, Stochastic thermodynamics, Non-equilibrium systems"

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(Editor), A. Kleidon, and R. D. Lorenz (Editor), eds. Non-equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond (Understanding Complex Systems). Springer, 2004.

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Book chapters on the topic "Entropy production, Stochastic thermodynamics, Non-equilibrium systems"

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Strasberg, Philipp. "Classical Stochastic Thermodynamics." In Quantum Stochastic Thermodynamics. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192895585.003.0002.

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Abstract After an introduction to the phenomenological theory of non-equilibrium thermodynamics, this theory is derived and extended forsmall systems described by a classical Markov process obeying local detailed balance. Thermodynamic definitions for internal energy, heat, work, entropy and entropy production are provided along a single stochastic trajectory. It is shown that the fluctuations in work and entropy production satisfy universal constraints, known as fluctuation theorems. By providing an independent derivation of them starting from microscopically reversible Hamiltonian dynamics i
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Strasberg, Philipp. "Quantum Thermodynamics Without Measurements." In Quantum Stochastic Thermodynamics. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192895585.003.0003.

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Abstract We derive the basic laws of phenomenological non-equilibrium thermodynamics for small open systems, whose quantum nature can no longer be neglected. Emphasis is put from the beginning on deriving them from an underlying microscopic system on deriving them from an underlying microscopic system–bath picture. Commonly considered approximation schemes (wea k coupling master equations) are reviewed and their thermodynamics is studied. The zeroth law is discussed for small systems and exact identities for the entropy production, valid at strong coupling and in the non non-Markovian regime,
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"The Entropy Production for a Homogeneous Phase." In Non-Equilibrium Thermodynamics of Heterogeneous Systems. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812779144_0004.

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"The Excess Entropy Production for the Surface." In Non-Equilibrium Thermodynamics of Heterogeneous Systems. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812779144_0005.

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"The Excess Entropy Production for a Three Phase Contact Line." In Non-Equilibrium Thermodynamics of Heterogeneous Systems. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812779144_0006.

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