par Gaspard, Pierre 
Référence XIVth International Congress on Mathematical Physics: Lisbon, 28 July - 2 August 2003, World Scientific Publishing Co., page (432-438)
Publication Publié, 2006-01
Référence XIVth International Congress on Mathematical Physics: Lisbon, 28 July - 2 August 2003, World Scientific Publishing Co., page (432-438)
Publication Publié, 2006-01
Partie d'ouvrage collectif
| Résumé : | Transport by normal diffusion can be decomposed into hydrodynamic modes which relax exponentially toward the equilibrium state. In chaotic systems with two degrees of freedom, the fine scale structures of these modes are singular and fractal, characterized by a Hausdorff dimension given in terms of Ruelle’s topological pressure. For long-wavelength modes, the Hausdorff dimension is related to the diffusion coefficient and the Lyapunov exponent. In the infinite-wavelength limit, the hydrodynamic modes lead to the nonequilibrium steady states, which also present a singular character. This singular character is a consequence of the mixing property of the dynamics. These results are illustrated with several systems such as the hard-disk and Yukawa-potential Lorentz gases. |
