The Burnett expansion of the periodic Lorentz gas

C. P. Dettmann

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arXiv · nlin/0003038

The Burnett expansion of the periodic Lorentz gas

C. P. Dettmann

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Abstract

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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C. P. Dettmann. 2002-09-21. The Burnett expansion of the periodic Lorentz gas. https://arxiv.org/abs/nlin/0003038

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