Short-time fluctuations of displacements and work

Details Short-time fluctuations of displacements and work Short-time fluctuations of displacements and work

2006-11-22

arxiv.org/abs/cond-mat/0611592v1

Comptes Rendus Physique 8 (5-6), 633-640 (2007)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures

Scientific paper

10.1016/j.crhy.2007.05.011

A recent theorem giving the initial behavior of very short-time fluctuations of particle displacements in classical many-body systems is discussed. It has applications to equilibrium and non-equilibrium systems, one of which is a series expansion of the distribution of work fluctuations around a Gaussian function. To determine the time-scale at which this series expansion is valid, we present preliminary numerical results for a Lennard-Jones fluid. These results suggest that the series expansion converges up to time scales on the order of a picosecond, below which a simple Gaussian function for the distribution of the displacements can be used.

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