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Isoenergetic thermalization amongst $n$ bodies is a well-known irreversible process, bringing the bodies to a common temperature $T_F$ and leading to a rise in the total entropy of the bodies. We express this change in entropy using the…

统计力学 · 物理学 2024-11-07 Vansh Narang , Renuka Rai , Ramandeep S. Johal

We initially prepare a quantum linear oscillator weakly coupled to a bath in equilibrium at an arbitrary temperature. We disturb this system by varying a Hamiltonian parameter of the coupled oscillator, namely, either its spring constant or…

统计力学 · 物理学 2015-05-27 Ilki Kim

Characterizing and optimizing thermodynamic processes far from equilibrium is a challenge. This is especially true for nanoscopic systems made of few particles. We here theoretically and experimentally investigate the nonequilibrium…

The validity of the Second Law of thermodynamics, indisputable in the macroscopic world, is challenged at the mesoscopic level: a mesoscopic isolated system, possessing spatial dimensions of the order of a few microns, is capable, as shown…

经典物理 · 物理学 2007-05-23 B. Crosignani , P. Di Porto , C. Conti

For a small driven system coupled strongly to a heat bath, internal energy and exchanged heat are identified such that they obey the usual additive form of the first law. By identifying this exchanged heat with the entropy change of the…

统计力学 · 物理学 2016-02-03 Udo Seifert

We investigate nonequilibrium chemical reaction systems from the view point of steady state thermodynamics proposed by Oono and Paniconi [Prog. Theor. Phys. Suppl. 130, 29 (1998)]. The concentrations of some compounds are operated by an…

统计力学 · 物理学 2007-05-23 Tatsuo Shibata

The Clausius inequality for closed systems was deduced from the Riemann integration of closed Carnot cycle loops for irreversible transitions. The corresponding inequalities for the recently developed open system Carnot cycles are derived…

化学物理 · 物理学 2007-05-23 Christopher Gunaseelan Jesudason

We present an analysis of the foundations of the well known Clausius inequality. It is shown that, strictly speaking, the inequality is not a logical consequence of the Kelvin-Planck formulation of the second law of thermodynamics. Some…

经典物理 · 物理学 2013-09-30 A. V. Gavrilov

Non-equilibrium quantum thermodynamics is an intensively developing field with many existing applications. We study the dynamics of temperatures and chemical potentials of fermionic reservoirs coupled to an open quantum system. We show that…

量子物理 · 物理学 2024-12-23 I. V. Vovchenko , A. A. Zyablovsky , A. A. Pukhov , E. S. Andrianov

The main thread that links classical thermodynamics and the thermodynamics of small quantum systems is the celebrated Clausius inequality form of the second law. However, its application to small quantum systems suffers from two cardinal…

量子物理 · 物理学 2018-06-20 Raam Uzdin , Saar Rahav

We study entropy production in nanoscale devices, which are coupled to finite heat baths. This situation is of growing experimental relevance, but most theoretical approaches rely on a formulation of the second law valid only for infinite…

量子物理 · 物理学 2021-08-25 Philipp Strasberg , María García Díaz , Andreu Riera-Campeny

The example of macroscopic thermodynamical system violating the Clausius inequality is presented.

综合物理 · 物理学 2007-05-23 A. V. Gavrilov

The status of heat and work in nonequilibrium thermodynamics is quite confusing and non-unique at present with conflicting interpretations even after a long history of the first law in terms of exchange heat and work, and is far from…

化学物理 · 物理学 2012-06-05 P. D. Gujrati

The irreversible entropy increase described by the second law of thermodynamics is fundamentally tied to thermalization and the emergence of equilibrium. In the first part of our work (Ref: arXiv.2503.04152), we constructed an isolated gas…

量子物理 · 物理学 2025-11-24 Xue-Yi Guo

We present an analysis of the foundations of the well known Clausius inequality. It is shown that, in general, the inequality is not a logical consequence of the Kelvin-Planck formulation of the second law of thermodynamics. Some thought…

经典物理 · 物理学 2012-04-24 Alexey V. Gavrilov

Macroscopic nonextensive thermodynamics is studied without recourse to microscopic statistical mechanics. It is shown that if entropy is nonextensive, the concept of physical temperature introduced through the generalized zeroth law of…

统计力学 · 物理学 2007-05-23 Sumiyoshi Abe

This paper is accountable only to explicitly stated physical assumptions and strict logical inference. Its goal is to run a rigorous stress test of second-law claims within the Clausius framework. We work directly with \textbf{Clausius's…

统计力学 · 物理学 2026-03-24 Ting Peng

The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic…

统计力学 · 物理学 2009-10-31 Sumiyoshi Abe , S. Martinez , F. Pennini , A. Plastino

The problem of temperature in nonextensive statistical mechanics is studied. Considering the first law of thermodynamics and a "quasi-reversible process", it is shown that the Tsallis entropy becomes the Clausius entropy if the inverse of…

统计力学 · 物理学 2009-11-11 Sumiyoshi Abe

It has long been known that, fundamentally different from a large body of rarefied gas, when a Knudsen gas is immersed in a thermal bath, it may never reach thermal equilibrium. The root cause is nonchaoticity: as the particle-particle…

统计力学 · 物理学 2024-11-15 Yu Qiao , Zhaoru Shang
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