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Thermodynamics makes definite predictions about the thermal behavior of macroscopic systems in and out of equilibrium. Statistical mechanics aims to derive this behavior from the dynamics and statistics of the atoms and molecules making up…

统计力学 · 物理学 2018-03-28 Sheldon Goldstein , David A. Huse , Joel L. Lebowitz , Pablo Sartori

Thermodynamic probes can be used to deduce microscopic internal dynamics of nanoscale quantum systems. Several direct entropy measurement protocols based on charge transport measurements have been proposed and experimentally applied to…

介观与纳米尺度物理 · 物理学 2022-12-22 E. Pyurbeeva , J. O. Thomas , J. A. Mol

Entropy is one of the key thermodynamic variables reflecting changes in the state of matter. Unlike other thermodynamic variables, it is well-defined also for nonequilibrium steady states through its relation to information. Applying this…

统计力学 · 物理学 2026-04-15 Haim Diamant , Gil Ariel

Starting from microscopic mechanics, we derive thermodynamic relations for heat conducting nonequilibrium steady states. The extended Clausius relation enables one to experimentally determine nonequilibrium entropy to the second order in…

统计力学 · 物理学 2009-11-13 Teruhisa S. Komatsu , Naoko Nakagawa , Shin-ichi Sasa , Hal Tasaki

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

Equilibrium statistical mechanics provides a robust framework for characterizing phase transitions in systems whose microsopic dynamics are time-reversible. Efforts to develop and validate theoretical frameworks for time-irreversible,…

软凝聚态物质 · 物理学 2025-12-18 Stuart J. Thomson , Jack-William Barotta , Daniel M. Harris

In the real world, one almost never knows the parameters of a thermodynamic process to infinite precision. Reflecting this, here we investigate how to extend stochastic thermodynamics to systems with uncertain parameters, including…

统计力学 · 物理学 2021-03-17 Jan Korbel , David H. Wolpert

We examine stochastic processes that are used to model nonequilibrium processes (e.g, pulling RNA or dragging colloids) and so deliberately violate detailed balance. We argue that by combining an information-theoretic measure of…

统计力学 · 物理学 2009-11-13 R. A. Blythe

Thermodynamic entropy, as defined by Clausius, characterizes macroscopic observations of a system based on phenomenological quantities such as temperature and heat. In contrast, information-theoretic entropy, introduced by Shannon, is a…

量子物理 · 物理学 2017-01-04 Mirjam Weilenmann , Lea Krämer , Philippe Faist , Renato Renner

We numerically determine the entropy for heat-conducting states, which is connected to the so-called excess heat considered as a basic quantity for steady-state thermodynamics in nonequilibrium. We adopt an efficient method to estimate the…

统计力学 · 物理学 2016-08-17 Yoshiyuki Chiba , Naoko Nakagawa

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime of a system. The statistical distributions which can be obtained out of the mesoscopic description characterizing the behaviour of a…

统计力学 · 物理学 2007-05-23 V. V. Ryazanov , S. G. Shpyrko

We develop the stochastic approach to thermodynamics based on the stochastic dynamics, which can be discrete (master equation) continuous (Fokker-Planck equation), and on two assumptions concerning entropy. The first is the definition of…

统计力学 · 物理学 2015-06-11 Tânia Tomé , Mário J. de Oliveira

We introduce a novel entropy-related function, \textit{non-repeatability}, designed to capture dynamical behaviors in complex systems. Its normalized form, \textit{mutability}, has been previously applied in statistical physics as a…

统计力学 · 物理学 2025-04-04 Eugenio E. Vogel , Francisco J. Peña , G. Saravia , P. Vargas

Thermodynamic uncertainty relations reveal a fundamental trade-off between the precision of a trajectory observable and entropy production, where the uncertainty of the observable is quantified by its variance. In information theory,…

统计力学 · 物理学 2025-11-25 Yoshihiko Hasegawa , Tomohiro Nishiyama

We use rigorous non-equilibrium thermodynamic arguments to prove (i) the residual entropy of any system is bounded below by the experimentally (calorimetrically) determined absolute temperature entropy, which itself is bounded below by the…

统计力学 · 物理学 2011-06-13 P. D. Gujrati

Local Shannon entropy lies at the heart of modern thermodynamics, with much discussion of trajectory-dependent entropy production. When taken at both boundaries of a process in phase space, it reproduces the second law of thermodynamics…

统计力学 · 物理学 2015-01-20 Lee Jinwoo , Hajime Tanaka

We demonstrate that the Gibbs-Shannon entropy is applicable to non-equilibrium systems of any size and boundary conditions. The change in microscopic entropy can be attributed to the stochastic nature of dynamic processes and to the…

统计力学 · 物理学 2020-10-13 Jianzhong Wu

Thermodynamics can be formulated in either of two approaches, the phenomenological approach, which refers to the macroscopic properties of systems, and the statistical approach, which describes systems in terms of their microscopic…

量子物理 · 物理学 2019-05-01 Mirjam Weilenmann , Lea Krämer Gabriel , Philippe Faist , Renato Renner

We extend the canonical Gibbs distribution, originally formulated for systems at equilibrium, to systems driven out of equilibrium. The stochastic dynamics of a small system are described by a probability distribution over discrete energy…

统计力学 · 物理学 2026-03-31 Jean-Luc Garden

Entropic measures provide analytic tools to help us understand correlation in quantum systems. In our previous work, we calculated linear entropy and von Neumann entropy as entanglement measures for the ground state and lower lying excited…

量子物理 · 物理学 2015-07-21 Chien-Hao Lin , Yew Kam Ho
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