The fluctuation theorem and Lyapunov weights

Details The fluctuation theorem and Lyapunov weights The fluctuation theorem and Lyapunov weights

2003-11-05

arxiv.org/abs/cond-mat/0311090v1

Physica D, 187, 326-337 (2004)

Physics

Condensed Matter

Statistical Mechanics

26 pages; to appear in Physica D

Scientific paper

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 Fluctuation Theorems using Lyapunov weights rather than the usual Gibbs weights. At long times the Fluctuation Theorems so derived are identical to those derived using the more standard Gibbs weights.

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