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We extend entropy production to a deeply quantum regime involving noncommuting conserved quantities. Consider a unitary transporting conserved quantities ("charges") between two systems initialized in thermal states. Three common formulae…

量子物理 · 物理学 2024-10-01 Twesh Upadhyaya , William F. Braasch, , Gabriel T. Landi , Nicole Yunger Halpern

Time-reversal symmetry breaking and entropy production are universal features of nonequilibrium phenomena. Despite its importance in the physics of active and living systems, the entropy production of systems with many degrees of freedom…

We provide examples of transitive partially hyperbolic dynamics (specific but paradigmatic examples of homoclinic classes) which blend different types of hyperbolicity in the one-dimensional center direction. These homoclinic classes have…

动力系统 · 数学 2018-05-21 Lorenzo J. Díaz , Katrin Gelfert , Tiane Marcarini , Michał Rams

The entropy production of an open system coupled to a reservoir initialized in a canonical state can be expressed as a sum of two microscopic information-theoretic contributions: the system-bath mutual information and the relative entropy…

统计力学 · 物理学 2023-05-18 Krzysztof Ptaszynski , Massimiliano Esposito

The nonequilibrium thermodynamics feature of a Brownian motor operating between two different heat baths is explored as a function of time $t$. Using the Gibbs entropy and Schnakenberg microscopic stochastic approach, we find exact closed…

统计力学 · 物理学 2015-07-08 Mesfin Asfaw Taye

Thermodynamic entropy is determined by a heat measurement through the Clausius equality. The entropy then formalizes a fundamental limitation of operations by the second law of thermodynamics. The entropy is also expressed as the Shannon…

统计力学 · 物理学 2015-06-17 Shin-ichi Sasa

General equations for conservative yet dissipative (entropy producing) extended magnetohydrodynamics are derived from two-fluid theory. Keeping all terms generates unusual cross-effects, such as thermophoresis and a current viscosity that…

流体动力学 · 物理学 2020-10-09 Baptiste Coquinot , Philip J. Morrison

We introduce a natural way of visualizing the entropy production in heat transfer processes between a system and a thermal reservoir. This representation is particularly useful to highlight the asymmetric character of the heating and…

统计力学 · 物理学 2023-09-07 Andrés Vallejo

We discuss heat conductivity from the point of view of a variational multi-fluid model, treating entropy as a dynamical entity. We demonstrate that a two-fluid model with a massive fluid component and a massless entropy can reproduce a…

流体动力学 · 物理学 2011-09-07 N. Andersson , G. L. Comer

We consider solutions to the Kac master equation for initial conditions where $N$ particles are in a thermal equilibrium and $M\le N$ particles are out of equilibrium. We show that such solutions have exponential decay in entropy relative…

数学物理 · 物理学 2018-10-17 Federico Bonetto , Alissa Geisinger , Michael Loss , Tobias Ried

We report on a numerical experiment performed to analyze fluctuations of the entropy production in turbulent thermal convection, a physical configuration that represents here a prototypical case of an out-of-equilibrium dissipative system.…

统计力学 · 物理学 2016-07-12 Francesco Zonta , Sergio Chibbaro

The excess work required to drive a stochastic system out of thermodynamic equilibrium through a time-dependent external perturbation is directly related to the amount of entropy produced during the driving process, allowing excess work and…

统计力学 · 物理学 2021-03-15 Steven J Large , Jannik Ehrich , David A Sivak

We identify new universal properties of the energy eigenstates of chaotic systems with local interactions, which distinguish them both from integrable systems and from non-local chaotic systems. We study the relation between the energy…

量子物理 · 物理学 2023-06-16 Zhengyan Darius Shi , Shreya Vardhan , Hong Liu

Various notions of fluctuations exist depending on the way one chooses to measure them. We discuss two extreme cases (continuous measurement versus long inter-measurement times) and we see their relation with entropy production and with…

统计力学 · 物理学 2009-11-05 C. Maes , K. Netocny

We find numerically that the sample to sample fluctuation of the entropy, $\Delta S$, is a tool more sensitive in distinguishing how from high temperature behaviors, than the corresponding fluctuation in the free energy. In 1+1 dimensions…

无序系统与神经网络 · 物理学 2009-10-31 Xiao-Hong Wang , Shlomo Havlin , Moshe Schwartz

The cosmological entropy production is studied in the (1+3+6)-dimensional space-times consisting of the outer space (the 3-dimensional expanding section) and the inner space (the 6-dimensional section). The inner space expands initially and…

广义相对论与量子宇宙学 · 物理学 2014-05-26 Kenji Tomita

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

Entropy production in non-Abelian gauge theory is discussed in the limit of vanishing classical fields. Based on the Kadanoff-Baym equation with the leading order self-energy in the temporal axial gauge, the kinetic entropy is introduced…

核理论 · 物理学 2011-07-06 Akihiro Nishiyama , Akira Ohnishi

It is shown that two reacting cosmological fluids, each of them perfect on its own, which exchange energy and momentum without preserving particle numbers, give rise to an entropy producing `reactive' bulk stress of the system as a whole,…

天体物理学 · 物理学 2015-06-24 Winfried Zimdahl

We assume that markovian dynamics on a finite graph enjoys a gauge symmetry under local scalings of the probability density, derive the transformation law for the transition rates and interpret the thermodynamic force as a gauge potential.…

统计力学 · 物理学 2015-05-30 Matteo Polettini