Diffusion dynamics of classical systems ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Diffusion dynamics of classical systems driven by an oscillatory force
Author(s) :
Castella, François [Auteur]
Institut de Recherche Mathématique de Rennes [IRMAR]
Degond, Pierre [Auteur]
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Goudon, Thierry [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Institut de Recherche Mathématique de Rennes [IRMAR]
Degond, Pierre [Auteur]
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Goudon, Thierry [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Journal title :
Journal of Statistical Physics
Pages :
913-950
Publisher :
Springer Verlag
Publication date :
2006
ISSN :
0022-4715
HAL domain(s) :
Mathématiques [math]/Analyse numérique [math.NA]
English abstract : [en]
We investigate the asymptotic behavior of solutions to a kinetic equation describing the evolution of particles subject to the sum of a fixed, confining, Hamiltonian, and a small time-oscillating perturbation. Additionally, ...
Show more >We investigate the asymptotic behavior of solutions to a kinetic equation describing the evolution of particles subject to the sum of a fixed, confining, Hamiltonian, and a small time-oscillating perturbation. Additionally, the equation involves an interaction operator which projects the distribution function onto functions of the fixed Hamiltonian. The paper aims at providing a classical counterpart to the derivation of rate equations from the atomic Bloch equations. Here, the homogenization procedure leads to a diffusion equation in the energy variable. The presence of the interaction operator regularizes the limit process and leads to finite diffusion coefficients.Show less >
Show more >We investigate the asymptotic behavior of solutions to a kinetic equation describing the evolution of particles subject to the sum of a fixed, confining, Hamiltonian, and a small time-oscillating perturbation. Additionally, the equation involves an interaction operator which projects the distribution function onto functions of the fixed Hamiltonian. The paper aims at providing a classical counterpart to the derivation of rate equations from the atomic Bloch equations. Here, the homogenization procedure leads to a diffusion equation in the energy variable. The presence of the interaction operator regularizes the limit process and leads to finite diffusion coefficients.Show less >
Language :
Anglais
Popular science :
Non
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