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The Burnett expansion of the periodic Lorentz gas

Published online by Cambridge University Press:  22 September 2003

C. P. DETTMANN
C. P. DETTMANN
Affiliation:
Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK (e-mail: [email protected])
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Abstract

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

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 2 , April 2003 , pp. 481 - 491
Copyright
2003 Cambridge University Press

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