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We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and…

Statistical Mechanics · Physics 2015-07-02 Gabriel T. Landi , Tânia Tomé , Mario J. de Oliveira

We show that macroscopic irreversible thermodynamics for viscous fluids can be derived from exact information-theoretic thermodynamic identities valid at the microscale. Entropy production, in particular, is a measure of the loss of…

Statistical Mechanics · Physics 2025-02-17 Danilo Forastiere , Francesco Avanzini , Massimiliano Esposito

Macroscopic many-body systems always exhibit irreversible behaviors together with the entropy increase. However, the underlying microscopic dynamics of the many-body system, either the (quantum) von Neumann or (classical) Liouville…

Statistical Mechanics · Physics 2019-02-04 Sheng-Wen Li

Understanding the entropy production of systems strongly coupled to thermal baths is a core problem of both quantum thermodynamics and mesoscopic physics. While there exist many techniques to accurately study entropy production in such…

We analyze the stochastic thermodynamics of systems with continuous space of states. The evolution equation, the rate of entropy production, and other results are obtained by a continuous time limit of a discrete time formulation. We point…

Statistical Mechanics · Physics 2020-08-27 Mário J. de Oliveira

Non-Markovian dynamics arise when a system is coupled to a bath with finite correlation time, giving rise to memory effects that allow the bath to temporarily store and return excitations. However, how memory modifies irreversibility and…

Statistical Mechanics · Physics 2026-04-29 Ken Funo , Tan Van Vu , Keiji Saito

A system can be driven out of equilibrium by both time-dependent and nonconservative forces, which gives rise to a decomposition of the dissipation into two non-negative components, called the excess and housekeeping entropy productions. We…

Statistical Mechanics · Physics 2023-05-31 Takuya Kamijima , Sosuke Ito , Andreas Dechant , Takahiro Sagawa

Entropy production during the process of thermal phase-separation of multiphase flows is investigated by means of a discrete Boltzmann kinetic model. The entropy production rate is found to increase during the spinodal decomposition stage…

Statistical Mechanics · Physics 2019-03-18 Yudong Zhang , Aiguo Xu , Guangcai Zhang , Yanbiao Gan , Zhihua Chen , Sauro Succi

Fluctuations in parameters that are typically treated as fixed play a crucial role in the behavior of complex systems. However, to date, we lack a general non-equilibrium thermodynamic treatment of such a complex system. In this Letter, to…

Statistical Mechanics · Physics 2026-03-31 Tuan Pham , Deepak Gupta

Complex dissipative systems appear across science and engineering, from polymers and active matter to learning algorithms. These systems operate far from equilibrium, where energy dissipation and time irreversibility govern their behavior…

Machine Learning · Computer Science 2025-11-26 Aiqing Zhu , Beatrice W. Soh , Grigorios A. Pavliotis , Qianxiao Li

Consciousness is supported by complex patterns of brain activity which are indicative of irreversible non-equilibrium dynamics. While the framework of stochastic thermodynamics has facilitated the understanding of physical systems of this…

Neurons and Cognition · Quantitative Biology 2023-03-01 Matthieu Gilson , Enzo Tagliazucchi , Rodrigo Cofre

Bottom-up models of functionally relevant patterns of neural activity provide an explicit link between neuronal dynamics and computation. A prime example of functional activity pattern is hippocampal replay, which is critical for memory…

Neurons and Cognition · Quantitative Biology 2024-09-30 Bastian Pietras , Valentin Schmutz , Tilo Schwalger

Response lags are generic to almost any physical system and often play a crucial role in the feedback loops present in artificial nanodevices and biological molecular machines. In this paper, we perform a comprehensive study of small…

Statistical Mechanics · Physics 2015-06-23 M. L. Rosinberg , T. Munakata , G. Tarjus

Neural signals are characterized by rich temporal and spatiotemporal dynamics that reflect the organization of cortical networks. Theoretical research has shown how neural networks can operate at different dynamic ranges that correspond to…

Neurons and Cognition · Quantitative Biology 2017-07-05 Luca Ambrogioni , Marcel A. J. van Gerven , Eric Maris

The theory of entropy production in nonequilibrium, Hamiltonian systems, previously described for steady states using partitions of phase space, is here extended to time dependent systems relaxing to equilibrium. We illustrate the main…

Chaotic Dynamics · Physics 2009-10-31 T. Gilbert , J. R. Dorfman , P. Gaspard

The time evolution of the thermally activated decay rates is considered. This evolution is of particular importance for the recent nanoscale experiments discussed in the literature, where the potential barrier is relatively low (or the…

Statistical Mechanics · Physics 2021-04-21 Maria Chushnyakova , Igor Gontchar , Natalya Khmyrova

Energy transport is a fundamental physical process that plays a prominent role in the function and performance of myriad systems and technologies. Recent experimental measurements have shown that subjecting a macroscale system to a…

Statistical Mechanics · Physics 2023-09-06 Renai Chen , Tammie Gibson , Galen T. Craven

We study the stochastic thermodynamics of an overdamped harmonic chain, which can be viewed equivalently as a 1D Rouse chain or as an approximate model of single file diffusion. We discuss mainly two levels of description of this system:…

Statistical Mechanics · Physics 2015-06-23 David Lacoste , Michael A. Lomholt

Neural populations exhibit latent dynamical structures that drive time-evolving spiking activities, motivating the search for models that capture both intrinsic network dynamics and external unobserved influences. In this work, we introduce…

Machine Learning · Computer Science 2026-03-11 Yue Song , T. Anderson Keller , Yisong Yue , Pietro Perona , Max Welling

We investigate the total stochastic entropy production of a two-level bosonic open quantum system under protocols of time dependent coupling to a harmonic environment. These processes are intended to represent the measurement of a system…

Quantum Physics · Physics 2023-01-24 D. Matos , L. Kantorovich , I. J. Ford