Dynamic versus thermodynamic approach to non-canonical equilibrium

被引:5
作者
Bologna, M
Campisi, M
Grigolini, P
机构
[1] N Texas State Univ, Ctr Nonlinear Sci, Denton, TX 76203 USA
[2] Univ Pisa, Dipartimento Fis, I-56127 Pisa, Italy
[3] INFM, I-56127 Pisa, Italy
[4] Ist Biofis Consiglio Nazl Ric, I-56010 Pisa, Italy
关键词
Boltzmann principle; non-canonical equilibrium; zeroth principle;
D O I
10.1016/S0378-4371(01)00645-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the dynamic and thermodynamic origin of non-canonical equilibria, and we discuss their connection with the generalized central limit theorem and the micro-canonical Boltzmann principle. We reach the conclusion that the zeroth law of thermodynamics and the Boltzmann principle are fulfilled thanks to an apparent fault turned into a benefit: the dynamic approach can only produce a truncated form of inverse power law equilibrium. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:89 / 98
页数:10
相关论文
共 20 条
  • [1] Justification of power law canonical distributions based on the generalized central-limit theorem
    Abe, S
    Rajagopal, AK
    [J]. EUROPHYSICS LETTERS, 2000, 52 (06): : 610 - 614
  • [2] Annunziato M, 2001, PHYS REV E, V64, DOI 10.1103/PhysRevE.64.011107
  • [3] Fluctuation-dissipation process without a time scale
    Annunziato, M
    Grigolini, P
    Riccardi, J
    [J]. PHYSICAL REVIEW E, 2000, 61 (05): : 4801 - 4808
  • [4] FROM DYNAMICS TO THERMODYNAMICS - LINEAR-RESPONSE AND STATISTICAL-MECHANICS
    BIANUCCI, M
    MANNELLA, R
    WEST, BJ
    GRIGOLINI, P
    [J]. PHYSICAL REVIEW E, 1995, 51 (04): : 3002 - 3022
  • [5] Dynamic approach to the thermodynamics of superdiffusion
    Buiatti, M
    Grigolini, P
    Montagnini, A
    [J]. PHYSICAL REVIEW LETTERS, 1999, 82 (17) : 3383 - 3387
  • [6] CHECHKIN A, 2000, ARXIVCONDMAT0012155
  • [7] MULTIPLICATIVE STOCHASTIC-PROCESSES IN NONLINEAR-SYSTEMS .2. CANONICAL AND NONCANONICAL EFFECTS
    FAETTI, S
    FRONZONI, L
    GRIGOLINI, P
    [J]. PHYSICAL REVIEW A, 1985, 32 (02): : 1150 - 1160
  • [8] Gnedenko B. V., 1954, ADDISON WESLEY MATH
  • [9] GOLDSTEIN S, 2001, ARXIVCONDMAT0105242
  • [10] GROSS DHE, ARXIVCONDMAT0106496