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Nonequilibrium systems exchange the energy with an environment in the form of work and heat. The work done on a system obeys the fluctuation theorem, while the dissipated heat which differs from the work by the internal energy change does…

统计力学 · 物理学 2014-02-04 Jae Dong Noh

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

We derive the optimal estimates of the free energies of an arbitrary number of thermodynamic states from nonequilibrium work measurements; the work data are collected from forward and reverse switching processes and obey a fluctuation…

统计力学 · 物理学 2009-11-11 Paul Maragakis , Martin Spichty , Martin Karplus

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…

In this thesis we aim to analyze and quantify the energetic and information contents that can be extracted from a dynamical system subject to the external environment. The latter is usually assumed to be deleterious for the feasibility of…

量子物理 · 物理学 2018-05-07 Stefano Gherardini

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

We study stochastic dynamics of an ensemble of N globally coupled excitable elements. Each element is modeled by a FitzHugh-Nagumo oscillator and is disturbed by independent Gaussian noise. In simulations of the Langevin dynamics we…

统计力学 · 物理学 2009-11-11 M. Zaks , X. Sailer , L. Schimansky-Geier , A. Neiman

The Jarzynski Equality relates the free energy difference between two equilibrium states of a system to the average of the work over all irreversible paths to go from one state to the other. We claim that the derivation of this equality is…

统计力学 · 物理学 2009-11-10 E. G. D. Cohen , David Mauzerall

We study the dynamics of fronts when both inertial effects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative noise arising from a control parameter of the system. Contrary to the…

统计力学 · 物理学 2009-10-31 Jose M. Sancho , Angel Sanchez

It has been shown recently that the Jarzynski equality is generalized under nonequilibrium feedback control [T. Sagawa and M. Ueda, Phys. Rev. Lett. {\bf 104}, 090602 (2010)]. The presence of feedback control in physical systems should…

统计力学 · 物理学 2013-05-29 M. Ponmurugan

We combine the formalisms of diagonal entropy and Jarzynski Equality to study the thermodynamic properties of closed quantum systems. Applying this approach to a quantum harmonic oscillator, the diagonal entropy offers a notion of…

量子物理 · 物理学 2013-07-09 Van A. Ngo , Stephan Haas

We introduce a simple enhanced sampling approach for the calculation of free energy differences and barriers along a one-dimensional reaction coordinate. First, a small number of short nonequilibrium simulations are carried out along the…

化学物理 · 物理学 2021-11-03 Kristof M. Bal

In this paper, we consider Langevin processes with mechanical constraints. The latter are a fundamental tool in molecular dynamics simulation for sampling purposes and for the computation of free energy differences. The results of this…

统计力学 · 物理学 2011-04-19 Tony Lelievre , Mathias Rousset , Gabriel Stoltz

In this paper we present a rigorous asymptotic analysis for stochastic systems with two fast relaxation times. The mathematical model analyzed in this paper consists of a Langevin equation for the particle motion with time-dependent force…

数学物理 · 物理学 2007-05-23 G. A. Pavliotis , A. M. Stuart

The thermal response of nonequilibrium systems requires the knowledge of concepts that go beyond entropy production. This is showed for systems obeying overdamped Langevin dynamics, either in steady states or going through a relaxation…

统计力学 · 物理学 2016-08-31 Gianmaria Falasco , Marco Baiesi

The discrete Boltzmann equation for both the ideal and a non-ideal fluid is extended by adding Langevin noise terms in order to incorporate the effects of thermal fluctuations. After casting the fluctuating discrete Boltzmann equation in a…

计算物理 · 物理学 2011-04-01 M. Gross , M. E. Cates , F. Varnik , R. Adhikari

We reconsider a well-known relationship between the fluctuation theorem and the second law of thermodynamics by evaluating a probability measure-valued process. In order to establish a bridge between microscopic and macroscopic behaviors,…

统计力学 · 物理学 2015-03-19 Yuki Sughiyama , Masayuki Ohzeki

We consider the problem of the measurement of a system occurring during a finite time interval, while environmentally-induced noise decreases the system-state coherence. We assume a Markovian measuring device and, therefore, use a…

量子物理 · 物理学 2013-10-25 Carlos Alexandre Brasil , Reginaldo de Jesus Napolitano

The past twenty years have seen a resurgence of interest in nonequilibrium thermodynamics, thanks to advances in the theory of stochastic processes and in their thermodynamic interpretation. Fluctuation theorems provide fundamental…

统计力学 · 物理学 2017-11-16 Robert Marsland , Jeremy England

Stochastic dynamics in the energy representation is employed as a method to study non-equilibrium Brownian-like systems. It is shown that the equation of motion for the energy of such systems can be taken in the form of the Langevin…

统计力学 · 物理学 2015-05-18 Bohdan I. Lev , Alexei D. Kiselev