Non Poissonian statistics in a low density fluid

Details Non Poissonian statistics in a low density fluid Non Poissonian statistics in a low density fluid

2008-01-17

arxiv.org/abs/0801.2728v1

J. Phys. Chem. B 112 (17), 5412 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

10.1021/jp800333h

Our interest goes to the collisional statistics in an arbitrary interacting fluid. We show that even in the low density limit and contrary to naive expectation, the number of collisions experienced by a tagged particle in a given time does not obey Poisson law, and that conversely, the free flight time distribution is not a simple exponential. As an illustration, the hard sphere fluid case is worked out in detail. For this model, we quantify analytically those deviations and successfully compare our predictions against molecular dynamics simulations.

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