Conditions for predicting quasistationary states by rearrangement formula - Équipe Systèmes dynamiques : théories et applications Accéder directement au contenu
Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2015

Conditions for predicting quasistationary states by rearrangement formula

Résumé

Predicting the long-lasting quasistationary state for a given initial state is one of central issues in Hamiltonian systems having long-range interaction. A recently proposed method is based on the Vlasov description and uniformly redistributes the initial distribution along contours of the asymptotic effective Hamiltonian, which is defined by the obtained quasistationary state and is determined self-consistently. The method, to which we refer as the rearrangement formula, was suggested to give precise prediction under limited situations. Restricting initial states consisting of spatially homogeneous part and small perturbation, we numerically reveal two conditions that the rearrangement formula prefers: One is no Landau damping condition for unperturbed homogeneous part, and the other comes from the Casimir invariants. Mechanisms of these conditions are discussed. Clarifying these conditions, we inform validity to use the rearrangement formula as the response theory for an external field, and we shed light on improving the theory as a nonequilibrium statistical mechanics.

Dates et versions

hal-01265832 , version 1 (01-02-2016)

Identifiants

Citer

Yoshiyuki Y. Yamaguchi, Shun Ogawa. Conditions for predicting quasistationary states by rearrangement formula. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2015, 92 (4), pp.042131 ⟨10.1103/PhysRevE.92.042131⟩. ⟨hal-01265832⟩
43 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More