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Related papers: Exploring the Jarzynski Equality for the Harmonic …

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In the global framework of finding an axiomatic derivation of nonequilibrium Statistical Mechanics from fundamental principles, such as the maximum path entropy -- also known as Maximum Caliber principle -- , this work proposes an…

Statistical Mechanics · Physics 2017-06-28 Diego González , Sergio Davis

The work fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally. For the work both the transient and stationary state fluctuation theorems hold. The…

Statistical Mechanics · Physics 2016-08-14 Sylvain Joubaud , Nicolas Garnier , Frédéric Douarche , Artem Petrosyan , Sergio Ciliberto

A main goal of single-molecule experiments is to evaluate equilibrium free energy differences by applying fluctuation relations to repeated work measurements along irreversible processes. We quantify the error that is made in a free energy…

Statistical Mechanics · Physics 2009-06-22 Alessandro Mossa , Sara de Lorenzo , Josep Maria Huguet , Felix Ritort

A promising method for calculating free energy differences Delta F is to generate non-equilibrium data via ``fast-growth'' simulations or experiments -- and then use Jarzynski's equality. However, a difficulty with using Jarzynski's…

Computational Physics · Physics 2007-05-23 F. Marty Ytreberg , Daniel M. Zuckerman

The Jarzynski equality equates the mean of the exponential of the negative of the work (per fixed temperature) done by a changing Hamiltonian on a system, initially in thermal equilibrium at that temperature, to the ratio of the final to…

High Energy Physics - Theory · Physics 2012-07-17 Don N. Page

We extend the Jarzynski equality, which is an exact identity between the equilibrium and nonequilibrium averages, to be useful to compute the value of the entropy difference by changing the Hamiltonian. To derive our result, we introduce…

Statistical Mechanics · Physics 2011-03-24 Hitoshi Katsuda , Masayuki Ohzeki

The Jarzynski equality (JE) is a remarkable statement relating transient irreversible processes to infinite-time free energy differences. Although twenty years old, the JE remains unfamiliar to many; nevertheless it is a robust and powerful…

Statistical Mechanics · Physics 2018-01-17 Fred Gittes

The special trajectory ensemble average (TEA), denoted by a subscript 0, in the Jarzynski Equality (JE) results in the Jensen inequality <R>_0 GT-EQ delta(F) for the work R done on the system, and not the thermodynamic work inequality <R>…

Statistical Mechanics · Physics 2018-02-23 P. D. Gujrati

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…

Statistical Mechanics · Physics 2007-05-23 Takahiro Hatano

The Jarzynski equality is one of the most influential results in the field of non equilibrium statistical mechanics. This celebrated equality allows to calculate equilibrium free energy differences from work distributions of nonequilibrium…

Statistical Mechanics · Physics 2017-09-13 Shahaf Asban , Saar Rahav

Jarzynski's equality (JE) allows us to compute free energy differences from distributions of work. In molecular dynamics simulations, the traditional way of constructing work distributions is to perform as many pulling simulations as…

Computational Physics · Physics 2012-05-07 Van Ngo

Based on the observation that the thermodynamic equilibrium free energy of an open quantum system in contact with a thermal environment can be understood as the difference between the free energy of the total system and that of the bare…

Statistical Mechanics · Physics 2009-06-01 Michele Campisi , Peter Talkner , Peter Hänggi

Exchange energy statistics between two bodies at different thermal equilibrium obey the Jarzynski-W\'ojcik fluctuation theorem. The corresponding energy scale factor is the difference of the inverse temperatures associated to the bodies at…

Extracting equilibrium information from nonequilibrium measurements is a challenge task of great importance in understanding the thermodynamic properties of physical, chemical, and biological systems. The discovery of the Jarzynski equality…

Statistical Mechanics · Physics 2021-03-29 Geng Li , Z. C. Tu

It has been established that the inclusive work for classical, Hamiltonian dynamics is equivalent to the two-time energy measurement paradigm in isolated quantum systems. However, a plethora of other notions of quantum work has emerged, and…

Statistical Mechanics · Physics 2021-04-08 Akira Sone , Sebastian Deffner

The Jarzynski equality (JE), which connects the equilibrium free energy with non-equilibrium work statistics, plays a crucial role in quantum thermodynamics. Although practical quantum systems are usually multi-level systems, most tests of…

Quantum Physics · Physics 2023-10-26 Wenquan Liu , Zhibo Niu , Wei Cheng , Xin Li , Chang-Kui Duan , Zhangqi Yin , Xing Rong , Jiangfeng Du

According to the Jarzynski theorem, equilibrium free energy differences can be calculated from the statistics of work carried out during non-equilibrium transformations. Although exact, this approach can be plagued by large statistical…

Statistical Mechanics · Physics 2007-05-23 Wolfgang Lechner , Christoph Dellago

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…

Statistical Mechanics · Physics 2014-04-22 T. G. Philbin , J. Anders

The universal quantum work relation connects a functional of an arbitrary observable averaged over the forward process to the free energy difference and another functional averaged over the time-reversed process. Here, we ask the question…

Quantum Physics · Physics 2012-04-18 Arun Kumar Pati , Mamata Sahoo , Biswajit Pradhan

There are two related theorems which hold even in far from equilibrium, namely fluctuation theorem and Jarzynski equality. Fluctuation theorem states the existence of symmetry of fluctuation of entropy production, while Jarzynski equality…

Statistical Mechanics · Physics 2009-11-10 T. Monnai