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We show that the recently postulated non-standard definition of work proportional to force variation rather than to displacement [A. Imparato and L. Peliti, cond-mat arXiv:0706.1134v1] is thermodynamically inconsistent at both microscopic…

统计力学 · 物理学 2007-07-26 Jose M. G. Vilar , J. Miguel Rubi

Using methods of phenomenological non-equilibrium thermodynamics, the proof is performed that Jarzynski's equality is only valid in the reversible limit and that a conclusion to non-equilibrium inequalities concerning free energy and work…

数学物理 · 物理学 2013-07-02 Wolfgang Muschik

In our recent letter [1] we discussed that thermodynamics is violated in quantum Brownian motion beyond the weak coupling limit. In his comment, Tasaki [2] derives an inequality for the relative entropy and claims, without making any…

统计力学 · 物理学 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

In a recent paper [ J. Stat. Mech. P07006 (2004)], E.G.D. Cohen and David Mauzerall (CM) have argued that the derivation of the nonequilibrium work relation given in [C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997)] is flawed. Here I attempt…

统计力学 · 物理学 2007-05-23 Chris Jarzynski

We analyze the new redefinitions of heat Q and work W recently presented in [arXiv: 1912.01939; arXiv:1912.01983v5] in the quantum thermodynamics domain. According to these redefinitions, heat must be associated with the variation of…

量子物理 · 物理学 2021-07-08 Eduardo B. Botosso , Jose S. Sales , Norton G. de Almeida

We develop a mathematical approach to the nonequilibrium work theorem which is traditionally referred to in statistical mechanics as Jarzynski's identity. We suggest a mathematically rigorous formulation and proof of the identity.

概率论 · 数学 2008-03-31 Evelina Shamarova

The validity of the Jarzynski equation for a very simple, exactly solvable quantum system is analyzed. The implications of two different definitions of work proposed in the literature are investigated. The first one derives from…

统计力学 · 物理学 2009-11-11 A. Engel , R. Nolte

We extend Jarzynski's work relation and the second law of thermodynamics to a heat conducting system which is operated by an external agent. These extensions contain a new non equilibrium contribution expressed as the violation of the…

统计力学 · 物理学 2012-09-25 Naoko Nakagawa

It has been recently claimed that no protocol for measuring quantum work can satisfy standard required physical principles, casting doubts on the compatibility between quantum mechanics, thermodynamics, and the classical limit. In this…

量子物理 · 物理学 2024-05-17 Thales Augusto Barbosa Pinto Silva , David Gelbwaser-Klimovsky

Jarzynski equality [Phys. Rev. E {\bf 56}, 5018 (1997)] is found to be valid with slight modefication for the transitions between nonequilibrium stationary states, as well as the one between equilibrium states. Also numerical results…

统计力学 · 物理学 2007-05-23 Takahiro Hatano

From the perspective of quantum thermodynamics, realisable measurements cost work and result in measurement devices that are not perfectly correlated with the measured systems. We investigate the consequences for the estimation of work in…

量子物理 · 物理学 2019-11-05 Tiago Debarba , Gonzalo Manzano , Yelena Guryanova , Marcus Huber , Nicolai Friis

The Jarzynski equality (JE) is analyzed in regard to its validity for both quasi-static transformations in the thermodynamic limit and Hamiltonian evolutions of the work protocol. In the first case, we show that the JE holds for isothermal…

统计力学 · 物理学 2020-05-15 Amilcare Porporato , Salvatore Calabrese

Nonequilibrium work-Hamiltonian connection for a microstate plays a central role in diverse branches of statistical thermodynamics (fluctuation theorems, quantum thermodynamics, stochastic thermodynamics, etc.). We show that the change in…

统计力学 · 物理学 2017-02-03 P. D. Gujrati

Using the contemporary thermodynamic equations of elastic solids leads to contradictions with the fundamental statements of thermodynamics. Two examples are presented to expose the inconsistencies. In example one the internal energy between…

综合物理 · 物理学 2007-05-23 Jozsef Garai , Alexandre Laugier

The interest in active matter stimulates the need to generalize thermodynamic description and relations to active matter systems, which are intrinsically out of equilibrium. One important example is the Jarzynski relation, which links the…

统计力学 · 物理学 2023-05-31 Grzegorz Szamel

We discuss the conditions for which the non-equilibrium work relation is valid by means of thermodynamic and microscopic arguments.

统计力学 · 物理学 2009-11-13 I. Santamaria-Holek , A. Perez-Madrid

The Jarzynski equality, which relates equilibrium free-energy difference to an average of non-equilibrium work, plays a central role in modern non-equilibrium statistical thermodynamics. In this paper, we study a weaker consequence of this…

统计力学 · 物理学 2026-01-06 Dani R. Castellanos , Petr Jizba

When a thermally isolated system performs a driving process in the quasistatic regime, its variation of average energy is equal to its quasistatic work. Even though presenting this simple definition, few attempts have been made to describe…

统计力学 · 物理学 2025-02-17 Pierre Nazé

It is generally admitted in thermodynamics that, for a given change in volume, the work done by a system is greater in conditions of reversibility than in conditions of irreversibility. If the basic conventions of physics are strictly…

综合物理 · 物理学 2007-10-31 Jean-Louis Tane

The Jarzynski relation is a recently discovered result relating the average exponential of the work done under nonequilibrium conditions to an equilibrium free energy difference. We illustrate this remarkable relation by considering the…

统计力学 · 物理学 2007-05-23 Rhonald C. Lua
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