Entropy production along a stochastic trajectory and an integral fluctuation theorem.

By U. Seifert. Physical Review Letters, 2005

1,160 citations recorded by the source corpus.

For stochastic nonequilibrium dynamics like a Langevin equation for a colloidal particle or a master equation for discrete states, entropy production along a single trajectory is studied. It involves both genuine particle entropy and entropy production in the surrounding medium. The integrated sum of both Delatas(tot) is shown to obey a fluctuation theorem (exp([-Deltas(tot) = 1 for arbitrary initial conditions and arbitrary time-dependent driving over a finite time interval.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/675cec669f172f648292b0431459de86b8b55664

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Colloquium : Statistical mechanics and thermodynamics at strong coupling: Quantum and classical (2019, background): “Additional fluctuating thermodynamic potentials, in particular fluctuating entropy, are considered in stochastic thermodynamics (Van den Broeck and Esposito, 2015; Seifert, 2005, 2012).”
Principles of maximum entropy and maximum caliber in statistical physics (2013, methodology): “…Evans and Searles, 1994, 2002; Jarzynski, 1997; Crooks, 1999; Lebowitz and Spohn, 1999; Wang et al., 2002; Dewar, 2003; van Zon and Cohen, 2003; Bodineau and Derrida, 2004, 2007; Seifert, 2005a, 2005b; Derrida, 2007; Harris and Schütz, 2007; Kurchan, 2007; Sevick et al., 2008; Monthus, 2011).”
Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production (2017, background): “The recent introduction of an entropy for stochastic trajectories [1] allows one to refine these inequalities with exact equalities for arbitrary nonequilibrium processes, results generically known as fluctuation theorems (FT’s) [2, 3].”
Fundamental aspects of steady-state conversion of heat to work at the nanoscale (2016, background): “For this, Seifert [41, 346] argued that the entropy S sys a that one should assign to system state a is S sys a = −kB ln[Pa], (323)”
Relativistic Brownian Motion (2008, background): “ms are mathematical relations that may be used to deduce certain thermodynamic properties of equilibrium systems by measuring suitable averages from diﬀerent realizations of a non-equilibrium process [523, 524, 525, 526, 527, 528]. During the past two decades, numerous ﬂuctuation theorems have been ”
Fluctuation-dissipation: Response theory in statistical physics (2008, background): “However, as explained in Refs.”
Refined Second Law of Thermodynamics for Fast Random Processes (2012, neutral): “in [4, 16, 41, 51].”