Fluctuations in interacting particle systems with memory

被引:13
|
作者
Harris, Rosemary J. [1 ]
机构
[1] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England
来源
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2015年
关键词
driven diffusive systems (theory); stochastic particle dynamics (theory); current fluctuations; large deviations in non-equilibrium systems; NONEQUILIBRIUM STATISTICAL-MECHANICS; ASYMMETRIC EXCLUSION MODEL; TIME RANDOM-WALKS; STOCHASTIC DYNAMICS; LARGE DEVIATIONS; OPEN BOUNDARIES; SYMMETRY; PHYSICS; LAW;
D O I
10.1088/1742-5468/2015/07/P07021
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We consider the effects of long-range temporal correlations in many-particle systems, focusing particularly on fluctuations about the typical behaviour. For a specific class of memory dependence we discuss the modification of the large deviation principle describing the probability of rare currents and show how superdiffusive behaviour can emerge. We illustrate the general framework with detailed calculations for a memory-dependent version of the totally asymmetric simple exclusion process as well as indicating connections to other recent work.
引用
收藏
页数:22
相关论文
共 50 条
  • [21] Probability distribution of the ratio of consecutive level spacings in interacting particle systems
    Chavda, N. D.
    Kota, V. K. B.
    PHYSICS LETTERS A, 2013, 377 (42) : 3009 - 3015
  • [22] Nonparametric estimation for interacting particle systems: McKean-Vlasov models
    Della Maestra, Laetitia
    Hoffmann, Marc
    PROBABILITY THEORY AND RELATED FIELDS, 2022, 182 (1-2) : 551 - 613
  • [23] Large deviations for interacting particle systems: Applications to non-linear filtering
    Del Moral, P
    Guionnet, A
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1998, 78 (01) : 69 - 95
  • [24] LARGE DEVIATIONS FOR LONG-RANGE INTERACTING PARTICLE-SYSTEMS WITH JUMPS
    LEONARD, C
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 1995, 31 (02): : 289 - 323
  • [25] Interacting molecular motors: Efficiency and work fluctuations
    Slanina, Frantisek
    PHYSICAL REVIEW E, 2009, 80 (06):
  • [26] LARGE DEVIATIONS OF MEAN-FIELD INTERACTING PARTICLE SYSTEMS IN A FAST VARYING ENVIRONMENT
    Yasodharan, Sarath
    Sundaresan, Rajesh
    ANNALS OF APPLIED PROBABILITY, 2022, 32 (03) : 1666 - 1704
  • [27] ENTROPIC FLUCTUATIONS IN GAUSSIAN DYNAMICAL SYSTEMS
    Jaksic, V.
    Pillet, C. -A.
    Shirikyan, A.
    REPORTS ON MATHEMATICAL PHYSICS, 2016, 77 (03) : 335 - 376
  • [28] Current large deviations for partially asymmetric particle systems on a ring
    Chleboun, Paul
    Grosskinsky, Stefan
    Pizzoferrato, Andrea
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (40)
  • [29] Bounds on current fluctuations in periodically driven systems
    Barato, Andre C.
    Chetrite, Raphael
    Faggionato, Alessandra
    Gabrielli, Davide
    NEW JOURNAL OF PHYSICS, 2018, 20
  • [30] UNIFORM APPROXIMATION OF 2 DIMENSIONAL NAVIER-STOKES EQUATION BY STOCHASTIC INTERACTING PARTICLE SYSTEMS
    Flandoli, Franco
    Olivera, Christian
    Simon, Marielle
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 52 (06) : 5339 - 5362