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The nonequilibrium free energy theorems show how distributions of work along nonequilibrium paths are related to free energy differences between the equilibrium states at the end points of these paths. In this paper we develop a natural way…

统计力学 · 物理学 2011-11-09 Stephen R. Williams , Debra J. Searles , Denis J. Evans

In the presence of feedback control by "Maxwell's demon," the second law of thermodynamics and the nonequilibrium equalities such as the Jarzynski equality need to be generalized. In this paper, we derive the generalized Jarzynski…

统计力学 · 物理学 2015-05-28 Takahiro Sagawa

Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time evolving state may deviate from the…

量子物理 · 物理学 2021-06-18 Albert Benseny , Klaus Mølmer

We discuss and qualify a previously unnoticed connection between two different phenomena in the physics of nanoscale friction, general in nature and also met in experiments including sliding emu- lations in optical lattices, and protein…

统计力学 · 物理学 2019-02-27 Franco Pellegrini , Emanuele Panizon , Giuseppe Santoro , Erio Tosatti

The presence of multiplicative noise can alter measurements of forces acting on nanoscopic objects. Taking into account of multiplicative noise, we derive a series of non-equilibrium thermodynamical equalities as generalization of the…

统计力学 · 物理学 2015-06-18 Ying Tang , Ruoshi Yuan , Ping Ao

Equilibrium thermodynamics is combined with Jarzynski's irreversible work theorem to quantify the excess entropy produced by irreversible processes. The resulting rectified form of the second law parallels the first law, in the sense that…

统计力学 · 物理学 2007-05-23 Dor Ben-Amotz , J. M. Honig

We study the dynamics of a trapped, charged Brownian particle in presence of a time dependent magnetic field. We calculate work distributions for different time dependent protocols. In our problem thermodynamic work is related to variation…

统计力学 · 物理学 2009-11-13 Arnab Saha , A. M. Jayannavar

Quantum work fluctuation theorem (FT) commonly requires the system initially prepared in an equilibrium state. Whether there exists universal exact quantum work FT for initial state beyond equilibrium needs further discussions. Here, I…

统计力学 · 物理学 2024-01-12 Bao-Ming Xu

We argue that the definition of the thermodynamic work done on a charged particle by a time-dependent electromagnetic field is an open problem, because the particle's Hamiltonian is not gauge-invariant. The solution of this problem demands…

统计力学 · 物理学 2016-06-29 A. E. Allahverdyan , S. G. Babajanyan

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

We study the thermodynamics of quantum projective measurements by using the set up for the Jarzynski equality. We prove the fluctuations of energy change induced by measurements satisfy the Jarzynski equality, revealing that the quantum…

统计力学 · 物理学 2015-08-31 Juyeon Yi , Yong Woon Kim

The minimum work principle states that work done on a thermally isolated equilibrium system is minimal for the adiabatically slow (reversible) realization of a given process. This principle, one of the formulations of the second law, is…

统计力学 · 物理学 2009-11-10 A. E. Allahverdyan , Th. M. Nieuwenhuizen

A thermodynamic expression for the analog of the canonical ensemble for nonequilibrium systems is described based on a purely information theoretical interpretation of entropy. As an application, it is shown that this nonequilibrium…

统计力学 · 物理学 2012-08-13 Maarten H. P. Ambaum

The concept of work is basic for statistical thermodynamics. To gain a fuller understanding of work and its (quantum) features, it needs to be represented as an average of a fluctuating quantity. Here I focus on the work done between two…

统计力学 · 物理学 2015-06-19 A. E. Allahverdyan

We present a general scheme to obtain work distribution in closed systems under continuous quantum histories of corresponding "power" operator. The scheme is tested by analytically calculating the quantum work distribution for a prototype…

统计力学 · 物理学 2013-04-24 Huanan Li , Jian-Sheng Wang

Applying the method from recently developed fluctuation theorems to the stochastic dynamics of single macromolecules in ambient fluid at constant temperature, we establish two Jarzynski-type equalities: (1) between the log-mean-exponential…

统计力学 · 物理学 2014-11-17 Hong Qian

Under sufficiently slow driving, thermodynamics predicts reversible evolution through a sequence of equilibrium states. We show that this expectation fails near spectral degeneracy in driven quadratic Hamiltonian systems. As the soft-mode…

统计力学 · 物理学 2026-04-14 Ilki Kim

We introduce an information free energy for thermodynamic systems driven by external time-dependent parameters. We show that the latter is a nonequilibrium state function and that it is a natural generalization of the usual equilibrium and…

统计力学 · 物理学 2012-01-19 Sebastian Deffner , Eric Lutz

We define common thermodynamic concepts purely within the framework of general Markov chains and derive Jarzynski's equality and Crooks' fluctuation theorem in this setup. In particular, we regard the discrete time case that leads to an…

统计力学 · 物理学 2022-12-14 Pedro Hack , Sebastian Gottwald , Daniel A. Braun

Although the analysis in cond-mat/0510270 is correct, this doesn't mean Jarzynski relation holds always for an arbitrary process. There exists a sufficient and necessary condition for Jarzynski relation to hold for an adiabatic parameter…

统计力学 · 物理学 2007-05-23 Jaeyoung Sung