HYDRODYNAMIC LIMIT FOR A SYSTEM WITH FINITE-RANGE INTERACTIONS

被引:27
|
作者
REZAKHANLOU, F
机构
[1] Courant Institute of Mathematical Sciences, New York University, New York, 10012, NY
关键词
D O I
10.1007/BF02097101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study a system of interacting diffusions. The variables present the amount of charge at various sites of a periodic multidimensional lattice. The equilibrium states of the diffusion are canonical Gibbs measures of a given finite range interaction. Under an appropriate scaling of lattice spacing and time, we derive the hydrodynamic limit for the evolution of the macroscopic charge density. © 1990 Springer-Verlag.
引用
收藏
页码:445 / 480
页数:36
相关论文
共 50 条
  • [1] Finite-range interactions and phases
    Gril K.
    Periodica Mathematica Hungarica, 2005, 50 (1-2) : 155 - 163
  • [2] ON EVOLUTION OF SYSTEMS WITH FINITE-RANGE INTERACTIONS
    BIEL, J
    NUOVO CIMENTO B, 1965, 40 (01): : 213 - &
  • [3] Universalities for the Efimov-favored system with finite-range interactions
    Wu, Meng-Shan
    Han, Hui-Li
    Shi, Ting-Yun
    PHYSICAL REVIEW A, 2016, 93 (06)
  • [4] Kac limit for finite-range spin glasses
    Franz, S
    Toninelli, FL
    PHYSICAL REVIEW LETTERS, 2004, 92 (03) : 3
  • [5] Hydrodynamic Limit of the Kawasaki Dynamics on the 1d-lattice with Strong, Finite-Range Interaction
    Younghak Kwon
    Georg Menz
    Kyeongsik Nam
    Annales Henri Poincaré, 2023, 24 : 2483 - 2536
  • [6] Hydrodynamic Limit of the Kawasaki Dynamics on the 1d-lattice with Strong, Finite-Range Interaction
    Kwon, Younghak
    Menz, Georg
    Nam, Kyeongsik
    ANNALES HENRI POINCARE, 2023, 24 (07): : 2483 - 2536
  • [7] Infinite matter properties and zero-range limit of non-relativistic finite-range interactions
    Davesne, D.
    Becker, P.
    Pastore, A.
    Navarro, J.
    ANNALS OF PHYSICS, 2016, 375 : 288 - 312
  • [8] MARKOVIAN INTERACTION PROCESSES WITH FINITE-RANGE INTERACTIONS
    HOLLEY, R
    ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (06): : 1961 - 1967
  • [9] Linear response theory with finite-range interactions
    Davesne, D.
    Pastore, A.
    Navarro, J.
    PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, 2021, 120
  • [10] FINITE-RANGE SCALING FOR A ONE-DIMENSIONAL SYSTEM WITH LONG-RANGE INTERACTIONS
    UZELAC, K
    GLUMAC, Z
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (07): : L421 - L425