The Burnett expansion of the periodic Lorentz gas

Details The Burnett expansion of the periodic Lorentz gas The Burnett expansion of the periodic Lorentz gas

2000-03-15

arxiv.org/abs/nlin/0003038v2

Ergod. Th. Dynam. Sys. 23, 481-491 (2003)

Nonlinear Sciences

Chaotic Dynamics

11 pages; no figures. This paper uses and extends the results given in chao-dyn/9910008 . Version 2 revised for greater mathem

Scientific paper

Recently, stretched exponential decay of multiple correlations in the periodic Lorentz gas has been used to show the convergence of a series of correlations which has the physical interpretation as the fourth order Burnett coefficient, a generalisation of the diffusion coefficient. Here the result is extended to include all higher order Burnett coefficients, and give a plausible argument that the expansion constructed from the Burnett coefficients has a finite radius of convergence.

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