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Related papers: Irreversibility time scale

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Entropy increase is fundamentally related to the breaking of time-reversal symmetry. By adding the 'extra dimension' associated with thermodynamic forces, we extend that discrete symmetry to a continuous symmetry for the dynamical…

Statistical Mechanics · Physics 2025-04-28 Aaron Beyen , Christian Maes

Living and non-living active matter consumes energy at the microscopic scale to drive emergent, macroscopic behavior including traveling waves and coherent oscillations. Recent work has characterized non-equilibrium systems by their total…

Statistical Mechanics · Physics 2021-01-22 Daniel S. Seara , Benjamin B. Machta , Michael P. Murrell

The dynamics of irreversible relaxation of non-equilibrium macroscopic systems is discussed. Arguments are developed showing that the general process is supported by two independent successive mechanisms. One is mixing and it follows pure…

chao-dyn · Physics 2008-02-03 X de Hemptinne

Different notions of entropy play a fundamental role in the classical theory of dynamical systems. Unlike many other concepts used to analyze autonomous dynamics, both measure-theoretic and topological entropy can be extended quite…

Dynamical Systems · Mathematics 2017-08-03 Christoph Kawan

The irreversible turbulent energy cascade epitomizes strongly non-equilibrium systems. At the level of single fluid particles, time irreversibility is revealed by the asymmetry of the rate of kinetic energy change, the Lagrangian power,…

Fluid Dynamics · Physics 2017-11-01 Massimo Cencini , Luca Biferale , Guido Boffetta , Massimo De Pietro

We investigate the second time scale of the metastable behavior of the reversible inclusion process in an extension of the study by [Bianchi, Dommers, and Giardin\`a, Electronic Journal of Probability, 22: 1-34, 2017], which presented the…

Probability · Mathematics 2023-07-17 Seonwoo Kim

There is intense effort into understanding the universal properties of finite-time models of thermal machines---at optimal performance---such as efficiency at maximum power, coefficient of performance at maximum cooling power, and other…

Statistical Mechanics · Physics 2018-05-23 Ramandeep S. Johal

We study time-reversal symmetry breaking in non-Hermitian fluctuating field theories with conserved dynamics, comprising the mesoscopic descriptions of a wide range of nonequilibrium phenomena. They exhibit continuous parity-time…

Statistical Mechanics · Physics 2023-09-08 Thomas Suchanek , Klaus Kroy , Sarah A. M. Loos

Time reversal of vast classes of phenomena has direct implications with predictability, causality and the second principle of thermodynamics. We analyze in detail time reversibility of a paradigmatic dissipative nonlinear dynamical system,…

Chaotic Dynamics · Physics 2023-06-26 Constantino Tsallis , Ernesto P. Borges

We give meaning to the first and second laws of thermodynamics in case of mesoscopic out-of-equilibrium systems which are driven by diffusion processes. The notion of the entropy production is analyzed. The role of the Helmholtz extremum…

Statistical Mechanics · Physics 2008-11-26 Piotr Garbaczewski

In calorimetry and particularly in heat capacity measurements, different characteristic relaxation time constants may perturb the experiment which cannot be considered at thermodynamic equilibrium. In this case, thermodynamics of…

Other Condensed Matter · Physics 2007-06-29 Jean-Luc Garden , Jacques Richard

The entropy production rate is a central quantity in non-equilibrium statistical physics, scoring how far a stochastic process is from being time-reversible. In this paper, we compute the entropy production of diffusion processes at…

Statistical Mechanics · Physics 2023-06-19 Lancelot Da Costa , Grigorios A. Pavliotis

One observes that a considerable level of confusion remains about some of those aspects of irreversibility, entropy generation and `the arrow of time' which actually are well understood. This demands that great care must be taken in any…

Mathematical Physics · Physics 2008-11-14 Thomas Fischbacher

From the Physics point of view, time is now best described through General Relativity, as part of space-time which is a dynamical object encoding gravity. Time possesses also some intrinsic irreversibility due to thermodynamics, quantum…

General Relativity and Quantum Cosmology · Physics 2009-03-30 Florian Girelli , Stefano Liberati , Lorenzo Sindoni

Entropy production is a universal measure of irreversibility and energy dissipation in physical, chemical, and biological systems operating far from equilibrium. However, quantifying and spatiotemporally localising it in complex processes…

Statistical Mechanics · Physics 2026-05-18 Biswajit Das , Sreekanth K Manikandan

For macroscopic systems, the second law of thermodynamics establishes an inequality between the amount of work performed on a system in contact with a thermal reservoir, and the change in its free energy. For microscopic systems, this…

Statistical Mechanics · Physics 2010-02-08 Eliran Boksenbojm , Bram Wynants , Christopher Jarzynski

We present an exact relationship between the entropy production and the distinguishability of a process from its time-reverse, quantified by the relative entropy between forward and backward states. The relationship is shown to remain valid…

Statistical Mechanics · Physics 2017-05-15 Juan M. R. Parrondo , Christian van den Broeck , Ryoichi Kawai

The time irreversibility problem is the dichotomy of the reversible microscopic dynamics and the irreversible macroscopic physics. This problem was considered by Boltzmann, Poincar\'e, Bogolyubov and many other authors and though some…

Statistical Mechanics · Physics 2009-09-05 Igor V. Volovich

The deterministic and time-reversal symmetric dynamics of isolated quantum systems is at odds with irreversible equilibration observed in generic thermodynamic systems. Standard approaches at a reconciliation employ subjective restrictions…

Quantum Physics · Physics 2025-11-07 Aritro Mukherjee

Dynamics of systems of structured particles consisting of potentially interacting material points is considered in the framework of classical mechanics. Equations of interaction and motion of structured particles have been derived. The…

General Physics · Physics 2012-05-14 V. M. Somsikov