 |
|
|
|
| HAL : hal-00280839, version 2 |
| arXiv : 0805.3012 |
| DOI : 10.1007/s00205-008-0205-6 |
| Fiche détaillée |  Récupérer au format |
|
|
| Archive for Rational Mechanics and Analysis 195, 1 (2009) 171-203 |
|
|
| Versions disponibles : | v1 (20-05-2008) | v2 (12-09-2008) |
|
|
|
|
| Energy transport in stochastically perturbed lattice dynamics |
|
|
| Giada Basile 1Stefano Olla 2 |
|
|
| (2009) |
|
|
|
| We consider lattice dynamics with a small stochastic perturbation of order ε and prove that for a space-time scale of order ε−1 the local spectral density (Wigner function) evolves according to a linear transport equation describing inelastic collisions. For an energy and momentum conserving chain the transport equation predicts a slow decay, as 1/√t, for the energy current correlation in equilibrium. This is in agreement with previous studies using a different method. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Weierstrass Institut for Applied Mathematics and Stochastics (WIAS) |
|
|
|
WIAS |
|
|
| 2 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
|
|
|
CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
|
|
| 3 : | Centre fo Mathematical Sciences (D-MUTU-ZM) |
|
|
|
Technische Universität München |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Probabilités Mathématiques/Physique mathématique Physique/Physique mathématique Physique/Matière Condensée/Mécanique statistique |
|
|
| Wigner functions – semiclassical limits – lattice dynamics – conservative stochastic dynamics – phonon Boltzmann equation – energy transport |
|
|
|
| Liste des fichiers attachés à ce document : | ||||||||||
|
||||||||||
|
|
|
| hal-00280839, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00280839 | |
| oai:hal.archives-ouvertes.fr:hal-00280839 | |
| Contributeur : Stefano Olla | |
| Soumis le : Vendredi 12 Septembre 2008, 14:42:05 | |
| Dernière modification le : Jeudi 25 Novembre 2010, 19:03:02 | |
