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We introduce an iterative method to univocally determine the adiabatic expansion of the modes of Dirac fields in spatially homogeneous external backgrounds. We overcome the ambiguities found in previous studies and use this new procedure to…

广义相对论与量子宇宙学 · 物理学 2018-09-20 J. Fernando Barbero G. , Antonio Ferreiro , Jose Navarro-Salas , Eduardo J. S. Villasenor

We show that the conventional Jarzynski equality does not hold for a system prepared in a microcanonical ensemble. We derive a modified equality that connects microcanonical work fluctuations to entropy production, in an analogous way to…

统计力学 · 物理学 2025-01-15 L. A. Williamson

In the conventional quantum mechanics (i.e., hermitian QM) the adia- batic theorem for systems subjected to time periodic fields holds only for bound systems and not for open ones (where ionization and dissociation take place) [D. W. Hone,…

原子物理 · 物理学 2009-11-11 Avner Fleischer , Nimrod Moiseyev

One particle in a classical perfect gas is driven out of equilibrium by changing its mass over a short time interval. The work done on the driven particle depends on its collisions with the other particles in the gas. This model thus…

统计力学 · 物理学 2014-04-22 T. G. Philbin , J. Anders

The classical Jarzynski equality establishes an exact relation between the stochastic work performed on a system driven out of thermal equilibrium and the free energy difference in a corresponding quasi-static process. This fluctuation…

量子物理 · 物理学 2025-08-21 Konstantin Beyer , Walter T. Strunz

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

The Jarzynski equality (JE) is known as an exact identity for nonequillibrium systems. The JE was originally formulated for isolated and isothermal systems, while Adib reported an JE extended to an isoenergetic process. In this paper, we…

统计力学 · 物理学 2015-05-27 Hitoshi Katsuda , Masayuki Ohzeki

The adiabatic theorem states that an initial eigenstate of a slowly varying Hamiltonian remains close to an instantaneous eigenstate of the Hamiltonian at a later time. We show that a perfunctory application of this statement is problematic…

量子物理 · 物理学 2009-11-10 Karl-Peter Marzlin , Barry C. Sanders

It has recently been argued that a self-consistency condition involving the Jarzynski equality (JE) and the Crooks fluctuation theorem (CFT) is violated for a simple Brownian process [L. Y. Chen, J. Chem. Phys. 129, 091101 (2008)]. This…

统计力学 · 物理学 2009-07-14 Artur B. Adib

We formulate an adiabatic theorem adapted to models that present an instantaneous eigenvalue experiencing an infinite number of crossings with the rest of the spectrum. We give an upper bound on the leading correction terms with respect to…

数学物理 · 物理学 2016-09-07 A. Joye , F. Monti , S. Guerin , H. R. Jauslin

The Jarzynski equality relates the free energy difference between two equilibrium states to the fluctuating irreversible work afforded to switch between them. The prescribed fixed temperature for the equilibrium states implicitly constrains…

统计力学 · 物理学 2020-09-03 Tobias Thalheim , Marco Braun , Gianmaria Falasco , Klaus Kroy , Frank Cichos

Responses of small open oscillator systems to applied external forces have been studied with the use of an exactly solvable classical Caldeira-Leggett (CL) model in which a harmonic oscillator (system) is coupled to finite $N$-body…

统计力学 · 物理学 2015-05-27 Hideo Hasegawa

We have experimentally checked the Jarzynski equality and the Crooks relation on the thermal fluctuations of a macroscopic mechanical oscillator in contact with a heat reservoir. We found that, independently of the time scale and amplitude…

统计力学 · 物理学 2009-11-11 F. Douarche , S. Ciliberto , A. Petrosyan , I. Rabbiosi

The well-known Jarzynski equality, often written in the form $e^{-\beta\Delta F}=\langle e^{-\beta W}\rangle$, provides a non-equilibrium means to measure the free energy difference $\Delta F$ of a system at the same inverse temperature…

统计力学 · 物理学 2017-08-22 Jiawen Deng , Juan D. Jaramillo , Peter Hanggi , Jiangbin Gong

We prove a robust extension of the quantum adiabatic theorem. The theorem applies to systems that have resonances instead of bound states, and to systems for which just an approximation to a bound state is known. To demonstrate the…

数学物理 · 物理学 2010-02-24 Alexander Elgart , George Hagedorn

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

We study the quantum Jarzynski relation for driven quantum models embedded in various environments. We do so by generalizing a proof presented by Mukamel [Phys. Rev. Lett 90, 170604 (2003)] for closed quantum systems. In this way, we are…

统计力学 · 物理学 2007-12-04 Jens Teifel , Günter Mahler

We consider a chain of three rotors (rotators) whose ends are coupled to stochastic heat baths. The temperatures of the two baths can be different, and we allow some constant torque to be applied at each end of the chain. Under some…

数学物理 · 物理学 2015-09-04 Noé Cuneo , Jean-Pierre Eckmann , Christophe Poquet

We present a derivation of the Jarzynski identity and the Crooks fluctuation theorem for systems governed by deterministic dynamics that conserves the canonical distribution such as Hamiltonian dynamics, Nose-Hoover dynamics, Nose-Hoover…

统计力学 · 物理学 2009-11-11 Elisabeth Scholl-Paschinger , Christoph Dellago

We consider free rotation of a body whose parts move slowly with respect to each other under the action of internal forces. This problem can be considered as a perturbation of the Euler-Poinsot problem. The dynamics has an approximate…

混沌动力学 · 物理学 2018-04-10 Jinrong Bao , Anatoly Neishtadt