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We have generalized the semi-analytic approach of special flow to the description of flows of passive particles taking into account internal noise. The model is represented by a series of recurrence relations. The recurrence relations are…

统计力学 · 物理学 2023-12-12 Boris S. Maryshev , Lyudmila S. Klimenko

We derive a bound on generalized currents for Langevin systems in terms of the total entropy production in the system and its environment. For overdamped dynamics, any generalized current is bounded by the total rate of entropy production.…

统计力学 · 物理学 2018-06-06 Andreas Dechant , Shin-ichi Sasa

The aim of this work is to analyze the entropy, entropy flux and entropy supply rate of granular fluids within the frameworks of the Boltzmann equation and continuum thermodynamics. It is shown that the entropy inequality for a granular gas…

统计力学 · 物理学 2010-11-17 Gilberto M. Kremer

Observing stochastic trajectories with rare transitions between states, practically undetectable on time scales accessible to experiments, makes it impossible to directly quantify the entropy production and thus infer whether and how far…

统计力学 · 物理学 2025-12-15 Marco Baiesi , Tomohiro Nishiyama , Gianmaria Falasco

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

In the weak-coupling limit approach to open quantum systems, the presence of the bath is eliminated and accounted for by a master equation that introduces dissipative contributions to the system reduced dynamics. Within this framework,…

量子物理 · 物理学 2017-10-03 S. Marcantoni , S. Alipour , F. Benatti , R. Floreanini , A. T. Rezakhani

We use a first-principle quantum-statistical method to derive the expression of the entropy production rate in relativistic spin hydrodynamics. We show that the entropy current is not uniquely defined and can be changed by means of…

核理论 · 物理学 2024-02-28 Francesco Becattini , Asaad Daher , Xin-Li Sheng

In stochastic thermodynamics, the entropy production of a thermodynamic system is defined by the irreversibility measured by the logarithm of the ratio of the path probabilities in the forward and reverse processes. We derive the relation…

统计力学 · 物理学 2018-03-14 Hyun-Myung Chun , Jae Dong Noh

Entropy of the cell fluid model with Curie-Weiss interaction is obtained in analytical form as a function of temperature and chemical potential. A parametric equation is derived representing the entropy as a function of density. Features of…

统计力学 · 物理学 2025-10-28 R. V. Romanik , O. A. Dobush , M. P. Kozlovskii , I. V. Pylyuk , M. A. Shpot

Recently, the fundamental laws of thermodynamics have been reconsidered for small systems. The discovery of the fluctuation relations has spurred theoretical and experimental studies on thermodynamics of systems with few degrees of freedom.…

We demonstrate and characterize a first-principles approach to modeling the mass action dynamics of metabolism. Starting from a basic definition of entropy expressed as a multinomial probability density using Boltzmann probabilities with…

化学物理 · 物理学 2024-07-10 William R. Cannon , Samuel Britton , Mikahl Banwarth-Kuhn , Mark Alber

Entropy production is a key concept of thermodynamics and allows one to analyze the operation of engines. For the Scovil-Schulz-DuBois heat engine, the archetypal three-level thermal maser coupled to thermal baths, it was argued that the…

量子物理 · 物理学 2021-01-13 Alex Arash Sand Kalaee , Andreas Wacker

The irreversible motion of an open quantum system can be represented through an ensemble of state vectors following a stochastic dynamics with piecewise deterministic paths. It is shown that this representation leads to a natural definition…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

Based on exact integration of the Schr\"odinger equation, we numerically study microscopic contributions to the entropy production for the single electron transistor, a paradigmatic model describing a single Fermi level tunnel coupled to…

统计力学 · 物理学 2024-02-26 Ayaka Usui , Krzysztof Ptaszyński , Massimiliano Esposito , Philipp Strasberg

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

凝聚态物理 · 物理学 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

The entropy production rate is central to the study of non-equilibrium systems. This parameter is closely connected to violation of time-reversal symmetry, energy consumption, efficiency, and other properties of interest; in short, it…

统计力学 · 物理学 2026-05-28 John W. Biddle

We analyze the entropy production in run-and-tumble models. After presenting the general formalism in the framework of the Fokker-Planck equations in one space dimension, we derive some known exact results in simple physical situations…

统计力学 · 物理学 2024-05-27 Matteo Paoluzzi , Andrea Puglisi , Luca Angelani

Microscopic formula to describe the entropy of biomolecular solutions are derived based on the Gibbs formula of entropy, and the generalized Langevin theory combined with the RISM/3D-RISM theory. Two formula are derived: one is concerned…

统计力学 · 物理学 2023-03-02 Fumio Hirata

The mixing of two different gases is one of the most common natural phenomena, with applications ranging from CO$_2$ capture to water purification. Traditionally, mixing is analyzed in the context of local thermal equilibrium, where systems…

量子物理 · 物理学 2025-07-08 Budhaditya Bhattacharjee , Rohit Kishan Ray , Dominik Šafránek

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
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