Dynamic approach to the thermodynamics of superdiffusion

被引:66
作者
Buiatti, M
Grigolini, P
Montagnini, A
机构
[1] CNR, Ist Biofis, I-56127 Pisa, Italy
[2] Univ N Texas, Ctr Nonlinear Sci, Denton, TX 76203 USA
[3] Univ Pisa, Dipartimento Fis, I-56100 Pisa, Italy
关键词
D O I
10.1103/PhysRevLett.82.3383
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We address the problem of relating thermodynamics to mechanics in the case of microscopic dynamics without a finite time scale. The solution is obtained by expressings the Tsallis entropic index q as a function of the Levy index alpha, and using dynamic rather than probabilistic arguments.
引用
收藏
页码:3383 / 3387
页数:5
相关论文
共 31 条
  • [1] FRACTAL RANDOM-WALKS FROM A VARIATIONAL FORMALISM FOR TSALLIS ENTROPIES
    ALEMANY, PA
    ZANETTE, DH
    [J]. PHYSICAL REVIEW E, 1994, 49 (02): : R956 - R958
  • [2] Dynamical approach to Levy processes
    Allegrini, P
    Grigolini, P
    West, BJ
    [J]. PHYSICAL REVIEW E, 1996, 54 (05) : 4760 - 4767
  • [3] [Anonymous], 1994, LEVY FLIGHTS RELATED
  • [4] Breakdown of exponential sensitivity to initial conditions: Role of the range of interactions
    Anteneodo, C
    Tsallis, C
    [J]. PHYSICAL REVIEW LETTERS, 1998, 80 (24) : 5313 - 5316
  • [5] 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
  • [6] Power-law sensitivity to initial conditions within a logisticlike family of maps: Fractality and nonextensivity
    Costa, UMS
    Lyra, ML
    Plastino, AR
    Tsallis, C
    [J]. PHYSICAL REVIEW E, 1997, 56 (01): : 245 - 250
  • [7] Evans D.J., 1990, STAT MECH NONEQUILIB
  • [8] ANOMALOUS DIFFUSION IN INTERMITTENT CHAOTIC SYSTEMS
    GEISEL, T
    THOMAE, S
    [J]. PHYSICAL REVIEW LETTERS, 1984, 52 (22) : 1936 - 1939
  • [9] Gnedenko BV., 1954, LIMIT DISTRIBUTIONS
  • [10] Hilborn RC, 1994, CHAOS NONLINEAR DYNA