Independence of the transient fluctuation theorem to thermostatting details

Stephen R. Williams; Debra J. Searles; Denis J. Evans

doi:10.1103/PhysRevE.70.066113

Independence of the transient fluctuation theorem to thermostatting details

Stephen R. Williams, Debra J. Searles, Denis J. Evans^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

Abstract

The dependence of fluctuation theorem on the precise mathematical details of thermostatting mechanism for an infinite class of fictious time reversible deterministic thermostats was analyzed. Theoretical and numerical analysis were carried out for a class of time reversible deterministic thermostats that fix various moments of the momentum distribution. In this large thermostat the transient fluctuation theorem (TFT) was found dependent of the precise moment that the thermostat fixes. The study shows that in a non-equilibrium system in contact with a thermostat and having large degrees of freedom, the transient fluctuation relation is insensitive to the details of thermostatting mechanisms.

Original language	English
Article number	066113
Pages (from-to)	066113/1-066113/6
Journal	Physical Review E
Volume	70
Issue number	6 2
DOIs	https://doi.org/10.1103/PhysRevE.70.066113
Publication status	Published - Dec 2004

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10.1103/PhysRevE.70.066113

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AB - The dependence of fluctuation theorem on the precise mathematical details of thermostatting mechanism for an infinite class of fictious time reversible deterministic thermostats was analyzed. Theoretical and numerical analysis were carried out for a class of time reversible deterministic thermostats that fix various moments of the momentum distribution. In this large thermostat the transient fluctuation theorem (TFT) was found dependent of the precise moment that the thermostat fixes. The study shows that in a non-equilibrium system in contact with a thermostat and having large degrees of freedom, the transient fluctuation relation is insensitive to the details of thermostatting mechanisms.

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Independence of the transient fluctuation theorem to thermostatting details

Abstract

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