The Burnett expansion of the periodic Lorentz gas
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 i...
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| Veröffentlicht in: | Ergodic theory and dynamical systems 2003-04, Vol.23 (2), p.481-491 |
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| container_title | Ergodic theory and dynamical systems |
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| creator | DETTMANN, C. P. |
| description | 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. |
| doi_str_mv | 10.1017/S0143385702001359 |
| format | Article |
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| identifier | ISSN: 0143-3857 |
| ispartof | Ergodic theory and dynamical systems, 2003-04, Vol.23 (2), p.481-491 |
| issn | 0143-3857 1469-4417 |
| language | eng |
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| source | Cambridge University Press Journals Complete |
| title | The Burnett expansion of the periodic Lorentz gas |
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