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We consider a free fermion chain with uniform nearest-neighbor hopping and let it evolve from an arbitrary initial state with a fixed macroscopic number of particles. We then prove that, at a sufficiently large and typical time, the…

统计力学 · 物理学 2026-04-13 Hal Tasaki

We analyze underdamped Brownian motion in non-isothermal media with quadratic, linear, and piecewise-constant temperature profiles. Exact identities for entropy production and entropy extraction are derived, addressing whether a vanishing…

统计力学 · 物理学 2025-09-10 Mesfin Taye

The reversibility and recurrence paradoxes are key issues that have been left unsolved in researches on the foundation of thermodynamics since the 19th century. This article shows that (1) the reversibility paradox can be overcome if we pay…

统计力学 · 物理学 2021-07-27 Yoshihiro Nakato

The wide-spread opinion is that original quantum mechanics is a reversible theory, but this statement is only true for undecomposed systems, that are those systems which sub-systems are out of consideration. Taking sub-systems into account,…

量子物理 · 物理学 2022-11-24 Wolfgang Muschik

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…

量子物理 · 物理学 2025-11-07 Aritro Mukherjee

I show that non-decreasing entropy provides a necessary and sufficient condition to convert the state of a physical system into a different state by a reversible transformation that acts on the system of interest and a further "catalyst"…

量子物理 · 物理学 2022-01-06 Henrik Wilming

Identifying dissipation is essential for understanding the physical mechanisms underlying nonequilibrium processes. {In living systems, for example, the dissipation is directly related to the hydrolysis of fuel molecules such as adenosine…

统计力学 · 物理学 2019-09-02 Ignacio A. Martínez , Gili Bisker , Jordan M. Horowitz , Juan M. R. Parrondo

Nonequilibrium thermodynamics of a general second-order stochastic system is investigated. We prove that at steady state, under inversion of velocities, the condition of time-reversibility over the phase space is equivalent to the…

统计力学 · 物理学 2015-10-28 Hao Ge

We derive a universal inequality that provides a lower bound on the ensemble-averaged von Neumann entropy change in a quantum system subject to continuous measurement and dissipation. Our result clarifies how entropy production is…

量子物理 · 物理学 2025-06-17 Kohei Kobayashi

The irreversibility and thermalization of many-body systems can be attributed to the erasure of spread non-equilibrium state information by local operations. This thermalization mechanism can be demonstrated by the sequence of…

量子物理 · 物理学 2025-11-24 Xue-Yi Guo

The basic model for incompressible two-phase flows with phase transitions is derived from basic principles and shown to be thermodynamically consistent in the sense that the total energy is conserved and the total entropy is nondecreasing.…

偏微分方程分析 · 数学 2016-12-20 Jan Pruess , Senjo Shimizu , Yoshihiro Shibata , Gieri Simonett

We consider a Brownian particle confined by an external potential and subject to stochastic resetting to the origin. Motivated by the repetitive nature of the dynamics, we describe the process as a thermodynamic cycle of thermal expansion…

统计力学 · 物理学 2026-05-28 Oded Farago

Time dependent dynamics of the chaotic quantum-mechanical system has been studied. Irreversibility of the dynamics is shown. It is shown, that being in the initial moment in pure quantum-mechanical state, system makes irreversible…

混沌动力学 · 物理学 2007-05-23 L. Chotorlishvili , V. Skrinnikov

In the dynamics of open quantum systems, the backflow of information to the reduced system under study has been suggested as the actual physical mechanism inducing memory and thus leading to non-Markovian quantum dynamics. To this aim, the…

量子物理 · 物理学 2021-07-21 Nina Megier , Andrea Smirne , Bassano Vacchini

By making use of a recently proposed framework for the inference of thermodynamic irreversibility in bosonic quantum systems, we experimentally measure and characterize the entropy production rates in the non-equilibrium steady state of two…

Irreversible processes are frequently adopted to account for the entropy increase in classical thermodynamics. However, the corresponding physical origins are not always clear, e.g. in a free expansion process, a typical model in textbooks.…

量子物理 · 物理学 2017-06-09 Hui Dong , Da-wei Wang , M. B. Kim

It is a central question in quantum thermodynamics to determine how irreversible is a process that transforms an initial state $\rho$ to a final state $\sigma$, and whether such irreversibility can be thought of as a useful resource. For…

量子物理 · 物理学 2018-08-09 Álvaro M. Alhambra , Stephanie Wehner , Mark M. Wilde , Mischa P. Woods

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…

统计力学 · 物理学 2023-06-19 Lancelot Da Costa , Grigorios A. Pavliotis

Understanding how macroscopic systems exhibit irreversible thermal behavior has been a long-standing challenge, first brought to prominence by Boltzmann. Recent advances have established rigorous conditions for isolated quantum systems to…

量子物理 · 物理学 2025-04-10 M. R. Passos , Thiago R. de Oliveira

Entropy creation rate is introduced for a system interacting with thermostats ({\it i.e.}, in the usual language, for a system subject to internal conservative forces interacting with ``external'' thermostats via conservative forces) and a…

统计力学 · 物理学 2007-05-23 G. Gallavotti