Quasi-stationary states for particle systems in the mean-field limit

被引：21
|
作者：
Caglioti, E.
Rousset, F.
机构：
[1] Univ Rome I La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
[2] Univ Nice, CNRS, Lab JA Dieudonne, UMR 6621, F-06108 Nice 02, France
来源：
JOURNAL OF STATISTICAL PHYSICS | 2007年 / 129卷 / 02期
关键词：
N-particle systems; Vlasov equation; long-time estimates; metastability;
D O I：
10.1007/s10955-007-9390-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove that the N particles approximation of a class of stable stationary solutions of the Vlasov equation is uniformly valid on a time scale N-ss for ss > 0 (explicitly given in various cases) much longer than the usual log N scale. The vortex blob method in dimension 2 is also discussed. The result applies to a class of stationary solutions more general than in a previous work.
引用
收藏
页码：241 / 263
页数：23
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