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Entropy might be a not well defined concept if the system can undergo transformations involving stationary nonequilibria. It might be analogous to the heat content (once called ``caloric'') in transformations that are not isochoric (i.e.…

统计力学 · 物理学 2007-05-23 Giovanni Gallavotti

We model the dynamics of a closed quantum system brought out of mechanical equilibrium, undergoing a non-driven, spontaneous, thermodynamic transformation. In particular, we consider a quantum particle in a box with a moving and insulating…

量子物理 · 物理学 2024-02-21 Sofia Sgroi , Mauro Paternostro

A thermodynamics for systems at a stationary states is formulated. It is based upon the assumption of the existence of local equilibrium in phase space which enables one to interpret the probability density ans its conjugated nonequilibrium…

统计力学 · 物理学 2007-05-23 I. Santamaria-Holek , J. M. Rubi , A. Perez-Madrid

Stochastic thermodynamics has largely succeeded in characterizing both equilibrium and far-from-equilibrium phenomena. Yet many opportunities remain for application to mesoscopic complex systems -- especially biological ones -- whose…

统计力学 · 物理学 2022-11-08 Mikhael T. Semaan , James P. Crutchfield

Most natural systems operate far from equilibrium, displaying time-asymmetric, irreversible dynamics characterized by a positive entropy production while exchanging energy and matter with the environment. Although stochastic thermodynamics…

统计力学 · 物理学 2023-06-27 Miguel Aguilera , Masanao Igarashi , Hideaki Shimazaki

We study thermodynamic processes in contact with a heat bath that may have an arbitrary time-varying periodic temperature profile. Within the framework of stochastic thermodynamics, and for models of thermo-dynamic engines in the idealized…

最优化与控制 · 数学 2022-04-06 Olga Movilla Miangolarra , Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

We present a consistent thermodynamic theory for the resonant level model in the wide band limit, whose level energy is driven slowly by an external force. The problem of defining 'system' and 'bath' in the strong coupling regime is…

介观与纳米尺度物理 · 物理学 2017-05-05 Anton Bruch , Mark Thomas , Silvia Viola Kusminskiy , Felix von Oppen , Abraham Nitzan

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

统计力学 · 物理学 2022-06-30 Cillian Cockrell , Ian J Ford

We consider the dynamics of a quantum system immersed in a dilute gas at thermodynamics equilibrium using a quantum Markovian master equation derived by applying the low-density limit technique. It is shown that the Gibbs state at the bath…

量子物理 · 物理学 2023-08-01 Robert Alicki , Milan Šindelka , David Gelbwaser-Klimovsky

Statistical formulations of thermodynamic entropy, such as those by Boltzmann and Gibbs, were originally developed for classical systems and are well understood in that context. However, the foundational aspects of quantum statistical…

量子物理 · 物理学 2025-10-08 Smitarani Mishra , Shaon Sahoo

We discuss the dynamics and thermodynamics of systems with long-range interactions. We contrast the microcanonical description of an isolated Hamiltonian system to the canonical description of a stochastically forced Brownian system. We…

统计力学 · 物理学 2009-11-10 Pierre-Henri Chavanis

Stochastic thermodynamics is formulated under the assumption of perfect knowledge of all thermodynamic parameters. However, in any real-world experiment, there is non-zero uncertainty about the precise value of temperatures, chemical…

统计力学 · 物理学 2024-01-11 Jan Korbel , David H. Wolpert

We consider overdamped diffusion processes driven out of thermal equilibrium and we analyze their dynamical steady fluctuations. We discuss the thermodynamic interpretation of the joint fluctuations of occupation times and currents; they…

统计力学 · 物理学 2009-11-13 Christian Maes , Karel Netocny , Bram Wynants

We show how to construct non-equilibrium thermodynamics for systems too small to be considered thermodynamically in a traditional sense. Through the use of a non-equilibrium ensemble of many replicas of the system which can be viewed as a…

统计力学 · 物理学 2007-05-23 J. M. Rubi , D. Bedeaux , S. Kjelstrup

In traditional thermodynamical and statistical-mechanical approaches one has (some) detailed knowledge of the principles governing the microdynamics of a system. However in many instances we may not have a Hamiltonian or good information…

统计力学 · 物理学 2007-05-23 David Ford

The linear response to temperature changes is derived for systems with overdamped stochastic dynamics. Holding both in transient and steady state conditions, the results allow to compute nonequilibrium thermal susceptibilities from…

统计力学 · 物理学 2016-04-11 Gianmaria Falasco , Marco Baiesi

Non-equilibrium processes in Schottky systems generate by projection onto the equilibrium subspace reversible accompanying processes for which the non-equilibrium variables are functions of the equilibrium ones. The embedding theorem which…

统计力学 · 物理学 2021-07-21 Wolfgang Muschik

We introduce a solvable stochastic model inspired by granular gases for driven dissipative systems. We characterize far from equilibrium steady states of such systems through the non-Boltzmann energy distribution and compare different…

统计力学 · 物理学 2007-05-23 Yair Srebro , Dov Levine

What is the best description that we can construct of a thermodynamic system that is not in equilibrium, given only one, or a few, extra parameters over and above those needed for a description of the same system at equilibrium? Here, we…

统计力学 · 物理学 2007-07-05 Gavin E. Crooks

Development of thermodynamic induction up to second order gives a dynamical bifurcation for thermodynamic variables and allows for the prediction and detailed explanation of nonequilibrium phase transitions with associated spontaneous…

统计力学 · 物理学 2021-10-07 S. N. Patitsas