Fluctuation theorem for nonequilibrium reactions

2004 ◽  
Vol 120 (19) ◽  
pp. 8898-8905 ◽  
Author(s):  
Pierre Gaspard
Keyword(s):  
Fluctuation Theorem ◽  
Nonequilibrium Reactions

Fluctuation theorem and thermodynamic entropy

JETP Letters ◽  
2015 ◽  
Vol 102 (8) ◽  
pp. 557-560 ◽  
Author(s):  
V. D. Seleznev ◽  
G. A. Zhernokleev ◽  
L. M. Martyushev
Keyword(s):  
Fluctuation Theorem ◽  
Thermodynamic Entropy

A Differential Fluctuation Theorem†

2008 ◽  
Vol 112 (19) ◽  
pp. 6168-6174 ◽  
Author(s):  
Paul Maragakis ◽  
Martin Spichty ◽  
Martin Karplus
Keyword(s):  
Fluctuation Theorem

scholarly journals Fluctuation theorem for hidden entropy production

2013 ◽  
Vol 88 (2) ◽  
Author(s):  
Kyogo Kawaguchi ◽  
Yohei Nakayama
Keyword(s):  
Entropy Production ◽  
Fluctuation Theorem

scholarly journals Local Fluctuation Theorem for Large Systems

2013 ◽  
Vol 110 (26) ◽  
Author(s):  
Guillaume Michel ◽  
Debra J. Searles
Keyword(s):  
Fluctuation Theorem ◽  
Large Systems

scholarly journals A theoretical verification of the integral fluctuation theorem for accelerated colloidal systems in the long-time limit

2021 ◽  
Author(s):  
Yash Lokare
Keyword(s):  
Steady State ◽  
Time Scales ◽  
Numerical Study ◽  
Quantitative Description ◽  
Experimental Studies ◽  
Fluctuation Theorem ◽  
Nonequilibrium Steady States ◽  
Small Scale ◽  
Colloidal Systems ◽  
Long Time

A quantitative description of the violation of the second law of thermodynamics in relatively small classical systems and over short time scales comes from the fluctuation-dissipation theorem. It has been well established both theoretically and experimentally, the validity of the fluctuation theorem to small scale systems that are disturbed from their initial equilibrium states. Some experimental studies in the past have also explored the validity of the fluctuation theorem to nonequilibrium steady states at long time scales in the asymptotic limit. To this end, a theoretical and/or purely numerical model of the integral fluctuation theorem has been presented. An approximate general expression for the dissipation function has been derived for accelerated colloidal systems trapped/confined in power-law traps. Thereafter, a colloidal particle trapped in a harmonic potential (generated by an accelerating one-dimensional optical trap) and undergoing Brownian motion has been considered for the numerical study. A toy model of a quartic potential trap in addition to the harmonic trap has also been considered for the numerical study. The results presented herein show that the integral fluctuation theorem applies not only to equilibrium steady state distributions but also to nonequilibrium steady state distributions of colloidal systems in accelerated frames of reference over long time scales.

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