The fluctuation theorem and Lyapunov weights

Owen Jepps; Denis J. Evans; Debra J. Searles

doi:10.1016/j.physd.2003.09.019

The fluctuation theorem and Lyapunov weights

Owen Jepps, Denis J. Evans^*, Debra J. Searles

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

The fluctuation theorem (FT) is a generalisation of the second law of thermodynamics that applies to small systems observed for short times. For thermostatted systems it gives the probability ratio that entropy will be consumed rather than produced. In this paper we derive the transient and steady state FTs using Lyapunov weights rather than the usual Gibbs weights. At long times the FTs so derived are identical to those derived using the more standard Gibbs weights.

Original language	English
Pages (from-to)	326-337
Number of pages	12
Journal	Physica D: Nonlinear Phenomena
Volume	187
Issue number	1-4
DOIs	https://doi.org/10.1016/j.physd.2003.09.019
Publication status	Published - 1 Jan 2004

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10.1016/j.physd.2003.09.019

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AB - The fluctuation theorem (FT) is a generalisation of the second law of thermodynamics that applies to small systems observed for short times. For thermostatted systems it gives the probability ratio that entropy will be consumed rather than produced. In this paper we derive the transient and steady state FTs using Lyapunov weights rather than the usual Gibbs weights. At long times the FTs so derived are identical to those derived using the more standard Gibbs weights.

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KW - Second law of thermodynamics

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The fluctuation theorem and Lyapunov weights

Abstract

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