Quasi-Stationary States for Particle Systems in the Mean-Field Limit

被引:0
|
作者
E. Caglioti
F. Rousset
机构
[1] Universita di Roma I,Dipartimento di Matematica
[2] Universite de Nice,CNRS, Laboratoire J.
来源
关键词
-particle systems; Vlasov equation; Long-time estimates; Metastability;
D O I
暂无
中图分类号
学科分类号
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 Nβ for β>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:22
相关论文
共 50 条
  • [21] THE MEAN-FIELD LIMIT FOR PARTICLE SYSTEMS WITH UNIFORM FULL-RANK CONSTRAINTS
    Plunder, Steffen
    Simeon, Bernd
    KINETIC AND RELATED MODELS, 2023, 16 (06) : 884 - 912
  • [22] A note on the mean-field limit for the particle swarm optimization
    Huang, Hui
    APPLIED MATHEMATICS LETTERS, 2021, 117
  • [23] Ground States for a Stationary Mean-Field Model for a Nucleon
    Maria J. Esteban
    Simona Rota Nodari
    Annales Henri Poincaré, 2013, 14 : 1287 - 1303
  • [24] NONADIABATIC TRANSITIONS BETWEEN QUASI-STATIONARY STATES IN A LASER FIELD
    KRSTIC, PS
    JANEV, RK
    PHYSICAL REVIEW A, 1986, 34 (01) : 157 - 168
  • [25] Ground States for a Stationary Mean-Field Model for a Nucleon
    Esteban, Maria J.
    Nodari, Simona Rota
    ANNALES HENRI POINCARE, 2013, 14 (05): : 1287 - 1303
  • [26] QUASI-STATIONARY QUASI-ENERGY STATES
    MANAKOV, NL
    RAPOPORT, LP
    FAINSHTEIN, AG
    IZVESTIYA AKADEMII NAUK SSSR SERIYA FIZICHESKAYA, 1981, 45 (12): : 2401 - 2419
  • [27] On the origin of quasi-stationary states in models of wave-particle interaction
    Antoniazzi, A.
    Johal, Ramandeep S.
    Fanelli, D.
    Ruffo, S.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (01) : 2 - 10
  • [28] Quasi-stationary states in low-dimensional Hamiltonian systems
    Baldovin, F
    Brigatti, E
    Tsallis, C
    PHYSICS LETTERS A, 2004, 320 (04) : 254 - 260
  • [29] Quasi-stationary states in a circular geometry
    Keetels, G. H.
    Clercx, H. J. H.
    van Heijst, G. J. F.
    PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (14) : 1129 - 1142
  • [30] On the Fluctuations about the Vlasov Limit for N-particle Systems with Mean-Field Interactions
    Carlo Lancellotti
    Journal of Statistical Physics, 2009, 136 : 643 - 665