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We develop the thermodynamics of non-Markovian generalized Langevin equations by embedding them in a high-dimensional Markovian representation involving auxiliary degrees of freedom. If the memory is linear and satisfies detailed balance…

统计力学 · 物理学 2026-04-29 Andreas Dechant , Kiyoshi Kanazawa

Nonlinear feedbacks in the Earth System provide mechanisms that can prove very useful in understanding complex dynamics with relatively simple concepts. For example, the temperature and the ice cover of the planet are linked in a positive…

大气与海洋物理 · 物理学 2015-05-27 Corentin Herbert , Didier Paillard , Bérengère Dubrulle

We use rigorous non-equilibrium thermodynamic arguments to prove (i) the residual entropy of any system is bounded below by the experimentally (calorimetrically) determined absolute temperature entropy, which itself is bounded below by the…

统计力学 · 物理学 2011-06-13 P. D. Gujrati

We consider thermodynamic systems with finitely many degrees of freedom and subject to an external control action. We derive some basic results on the dependence of the relative entropy production rate on the controlling force. Applications…

数学物理 · 物理学 2007-05-23 M. Pavon , F. Ticozzi

Thermodynamics is based on the notions of energy and entropy. While energy is the elementary quantity governing physical dynamics, entropy is the fundamental concept in information theory. In this work, starting from first principles, we…

统计力学 · 物理学 2017-10-25 Bernhard Altaner

Many physical, biological, and even social systems are faced with the problem of how to efficiently harvest free energy from an environment that can have many possible states, yet only have a limited number of harvesting protocols to choose…

统计力学 · 物理学 2024-12-04 Harrison Hartle , David Wolpert , Andrew Stier , Christopher P. Kempes , Gonzalo Manzano

We compute the entropy reduction in feedback controlled systems due to the repeated operation of the controller. This was the lacking ingredient to establish the thermodynamics of these systems, and in particular of Maxwell's demons. We…

统计力学 · 物理学 2009-04-12 F. J. Cao , M. Feito

Thermal contact is the archetype of non-equilibrium processes driven by constant non-equilibrium constraints enforced by reservoirs exchanging conserved microscopic quantities. In models with a finite number of possible configurations, if…

统计力学 · 物理学 2015-05-06 Françoise Cornu , Michel Bauer

Entropy production is arguably the most universally applicable measure of non-equilibrium behavior, particularly for systems coupled to a heat bath. This setting encompasses driven soft matter as well as biomolecular, biochemical, and…

统计力学 · 物理学 2025-12-09 Udo Seifert

In a thermodynamic process with measurement and feedback, the second law of thermodynamics is no longer valid. In its place, various second-law-like inequalities have been advanced that each incorporate a distinct additional term accounting…

统计力学 · 物理学 2015-06-22 Jordan M. Horowitz , Henrik Sandberg

The thermodynamic and kinetic uncertainty relations indicate trade-offs between the relative fluctuation of observables and thermodynamic quantities such as dissipation and dynamical activity. Although these relations have been well studied…

统计力学 · 物理学 2022-04-12 Tan Van Vu , Keiji Saito

In recent advances in finite-time thermodynamics, optimization of entropy production required for finite-time information processing is an important issue. In this work, we consider finite-time feedback processes in classical discrete…

统计力学 · 物理学 2025-03-18 Rihito Nagase , Takahiro Sagawa

We derive geometrical bounds on the irreversibility in both quantum and classical Markovian open systems that satisfy the detailed balance condition. Using information geometry, we prove that irreversible entropy production is bounded from…

统计力学 · 物理学 2021-01-05 Tan Van Vu , Yoshihiko Hasegawa

Meixner's historical remark in 1969 "... it can be shown that the concept of entropy in the absence of equilibrium is in fact not only questionable but that it cannot even be defined...." is investigated from today's insight. Several…

统计力学 · 物理学 2018-10-17 Wolfgang Muschik

Living systems maintain or increase local order by working against the Second Law of Thermodynamics. Thermodynamic consistency is restored as they dissipate heat, thereby increasing the net entropy of their environment. Recently introduced…

生物物理 · 物理学 2021-05-03 Dominic J. Skinner , Jörn Dunkel

We show that memory, feedback, and activity are all describable by the same unifying concept, that is non-reciprocal (NR) coupling. We demonstrate that characteristic thermodynamic features of these intrinsically nonequilibrium systems are…

统计力学 · 物理学 2019-10-21 Sarah A. M. Loos , Simon M. Hermann , Sabine H. L. Klapp

We investigate thermodynamics of feedback processes driven by measurement. Regarding system and memory device as a composite system, mutual information as a measure of correlation between the two constituents contributes to the entropy of…

统计力学 · 物理学 2017-04-12 Chulan Kwon

Continuous feedback control of Langevin processes may be non-Markovian due to a time lag between the measurement and the control action. We show that this requires to modify the basic relation between dissipation and time-reversal and to…

统计力学 · 物理学 2015-06-18 T. Munakata , M. L. Rosinberg

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

Information dynamics is an emerging description of information processing in complex systems which describes systems in terms of intrinsic computation, identifying computational primitives of information storage and transfer. In this paper…

统计力学 · 物理学 2018-10-03 Richard E. Spinney , Joseph T. Lizier , Mikhail Prokopenko