Fluctuation Relations for Diffusion Processes

By R. Chetrite, K. Gawȩdzki. 2007

159 citations recorded by the source corpus.

The paper presents a unified approach to different fluctuation relations for classical nonequilibrium dynamics described by diffusion processes. Such relations compare the statistics of fluctuations of the entropy production or work in the original process to the similar statistics in the time-reversed process. The origin of a variety of fluctuation relations is traced to the use of different time reversals. It is also shown how the application of the presented approach to the tangent process describing the joint evolution of infinitesimally close trajectories of the original process leads to a multiplicative extension of the fluctuation relations.

Subfields: Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6fc4678642e6d2c23dd5ff292538a7840cd25c7e

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In Control and Systems Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Stochastic thermodynamics, fluctuation theorems and molecular machines (2012, background): “For related mathematically rigorous approaches to derive FTs for diffusive dynamics, see [80, 81, 82, 83].”
Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems (2008, background): “A second class of FTs is concerned with entropy fluctuations in closed systems described by deterministic thermostatted equations of motions [37, 57, 58, 59, 60, 72, 73, 157] and a third class treats the fluctuations of entropy (or related quantities such as irreversible work, heat and matter curren”
Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport (2011, unknown): “[27, 32, 29, 28, 30, 35, 33, 34, 31], also a topic worthy of its own review (see, e.”
Refined Second Law of Thermodynamics for Fast Random Processes (2012, background): “[15, 43] or [16] for the interpretation of Stot as a relative entropy of the processes with direct and time-reversed protocols along the lines proposed first in [39].”
The large deviation approach to statistical mechanics (2008, methodology): “This example is based on the results of Lebowitz and Spohn [180], and borrows some notations from Gaspard [194] (see also [195,196]).”
Irreversibility in Active Matter Systems: Fluctuation Theorem and Mutual Information (2018, background): “[85] Note that v might contain forces whose sign should be inverted under time-reversal for physical reasons [39].”