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Diffusive motion in an externally driven potential is considered. It is shown that the distribution of work required to drive the system from an initial equilibrium state to another is Gaussian for slow but finite driving. Our result is…

统计力学 · 物理学 2007-05-23 Thomas Speck , Udo Seifert

We consider the problem of keeping an arbitrary state $\rho_s$ out of thermal equilibrium. We find that counter-acting thermalisation using only a resource system which is in a stationary state at the initial time and a system-resource…

量子物理 · 物理学 2015-03-09 Giovanni Vacanti , Cyril Elouard , Alexia Auffeves

We present the mathematical ingredients for an extension of the Third Law of Thermodynamics (Nernst heat postulate) to nonequilibrium processes. The central quantity is the excess heat which measures the quasistatic addition to the steady…

统计力学 · 物理学 2023-10-05 Faezeh Khodabandehlou , Christian Maes , Irene Maes , Karel Netočný

Many biological, chemical, and physical systems are underpinned by stochastic transitions between equilibrium states in a potential energy. Here, we consider such transitions in a minimal model with two possible competing pathways, both…

统计力学 · 物理学 2025-12-17 Gulzar Ahmad , Sergey Saveliev , Steven P Fitzgerald , Marco G Mazza , Andrew J Archer

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

统计力学 · 物理学 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

Entropy production characterizes the thermodynamic irreversibility and reflects the amount of heat dissipated into the environment and free energy lost in nonequilibrium systems. According to the thermodynamic uncertainty relation, we…

统计力学 · 物理学 2020-05-01 Tan Van Vu , Van Tuan Vo , Yoshihiko Hasegawa

Starting at the mesoscopic level with a general formulation of stochastic thermodynamics in terms of Markov jump processes, we identify the scaling conditions that ensure the emergence of a (typically nonlinear) deterministic dynamics and…

统计力学 · 物理学 2025-05-26 Gianmaria Falasco , Massimiliano Esposito

We propose a real-time nodal pricing mechanism for cost minimization and voltage control in a distribution network with autonomous distributed energy resources and analyze the resulting market using stochastic game theory. Unlike existing…

系统与控制 · 电气工程与系统科学 2025-09-04 Eli Brock , Jingqi Li , Javad Lavaei , Somayeh Sojoudi

Progress in miniaturized technology allows us to control physical systems at nanoscale with remarkable precision. Experimental advancements have sparked interest in control problems in stochastic thermodynamics, typically concerning a…

统计力学 · 物理学 2025-03-26 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

This paper analyzes stochastic networks consisting of a set of finite capacity sites where different classes of individuals move according to some routing policy. The associated Markov jump processes are analyzed under a thermodynamic limit…

概率论 · 数学 2009-09-29 Nelson Antunes , Christine Fricker , Philippe Robert , Danielle Tibi

An overarching action principle, the principle of minimal free action, exists for ergodic Markov chain dynamics. Using this principle and the Detailed Fluctuation Theorem, we construct a dynamic ensemble theory for non-equilibrium steady…

统计力学 · 物理学 2019-03-20 Xiangjun Xing , Mingnan Ding

Stochastic thermodynamics is the field of study relating fluctuations in stochastic systems to thermodynamic quantities. The total entropy production (EP), is central to the thermodynamic classification of systems. Non-equilibrium systems…

统计力学 · 物理学 2025-08-05 Lars Torbjørn Stutzer

Living systems operate far from thermal equilibrium by converting the chemical potential of ATP into mechanical work to achieve growth, replication or locomotion. Given time series observations of intra-, inter- or multicellular processes,…

生物物理 · 物理学 2021-11-03 Dominic J. Skinner , Jörn Dunkel

Living organisms are inherently out-of-equilibrium systems. We employ new developments in stochastic energetics and rely on a minimal microscopic model to predict the amount of mechanical energy dissipated by such dynamics. Our model…

Recent advances in nonequilibrium statistical physics have provided unprecedented insight into the thermodynamics of dynamic processes. The author recently used these advances to extend Landauer's semi-formal reasoning concerning the…

统计力学 · 物理学 2016-07-01 David H. Wolpert

Calorimetry for equilibrium systems aims to determine the available microscopic occupation and distribution of energy levels by measuring thermal response. Nonequilibrium versions are expected to add information on the dynamical…

统计力学 · 物理学 2023-11-27 Pritha Dolai , Christian Maes

Nonequilibrium thermodynamics of a system situated in a sustained environment with influx and efflux is usually treated as a subsystem in a larger, closed "universe". It remains a question what the minimally required description for the…

统计力学 · 物理学 2013-06-20 Hao Ge , Hong Qian

A living non-Newtonian matter like the cell cortex and tissues are driven out-of-equilibrium at multiple spatial and temporal scales. The stochastic dynamics of a particle embedded in such a medium are non-Markovian, given by a generalized…

生物物理 · 物理学 2020-06-30 Amit Singh Vishen

We analyze how the amount of work dissipated by a fixed nonequilibrium process depends on the initial distribution over states. Specifically, we compare the amount of dissipation when the process is used with some specified initial…

统计力学 · 物理学 2022-11-22 Artemy Kolchinsky , David H. Wolpert

Neural dynamics of energy-based models are governed by energy minimization and the patterns stored in the network are retrieved when the system reaches equilibrium. However, when the system is driven by time-varying external input, the…

神经元与认知 · 定量生物学 2020-12-25 Kevin S. Chen