Time-dependent fluctuation theorem

Date

2003-02-14

Authors

Mittag, Emil
Evans, Denis

Journal Title

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Volume Title

Publisher

American Physical Society

Abstract

The fluctuation theorem (FT) is a generalization of the second law of thermodynamics that applies to small systems observed for short times. For thermostated systems it gives the probability ratio that entropy will be consumed rather than produced. In the present paper, we propose a version of the FT that applies to thermostated dissipative systems which respond to time-dependent dissipative fields. In testing the time-dependent fluctuation theorem we provide convincing evidence that sets of trajectories with conjugate values for the time-integrated entropy production, (±A±δA), are indeed (for time-reversible dynamical systems such as those studied here), time-reversal images of one another. This observation verifies the deep connection between time-reversal symmetry, the fluctuation theorem, and the second law of thermodynamics.

Description

Keywords

Keywords: Probability; Theorem proving; Thermostats; Fluctuation theorem (FT); Entropy

Citation

Physical Review, E, Statistical, Nonlinear and Soft Matter Physics 67.2 (2003): 026113/1-5

Source

Physical Review E-Statistical, Nonlinear and Soft Matter Physics

Type

Journal article

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DOI

10.1103/PhysRevE.67.026113

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