Gauge theory of self-similar system

被引:1
|
作者
Olemskoi, AI [1 ]
机构
[1] Sumy State Univ, Dept Phys Elect, UA-244007 Sumy, Ukraine
来源
PHYSICA A | 2001年 / 295卷 / 3-4期
关键词
Jackson's derivative; dilatation parameter; probability distribution;
D O I
10.1016/S0378-4371(01)00012-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
On the basis of a dilatation invariant Lagrangian. equations governing probability density and gauge potential of the non-stationary self-similar stochastic system are determined. It is shown that an automodel regime is realized at small time interval determined by the Tsallis' parameter q > 1. An exponential decay occurs at large time where the dilatation parameter and the partial scale tend to constant values. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:409 / 415
页数:7
相关论文
共 50 条
  • [1] Self-similar perturbation theory
    Yukalov, VI
    Yukalova, EP
    ANNALS OF PHYSICS, 1999, 277 (02) : 219 - 254
  • [2] The self-similar science system
    Katz, JS
    RESEARCH POLICY, 1999, 28 (05) : 501 - 517
  • [3] The self-similar science system
    Katz, J. Sylvan
    Computers and Education, 2001, 36 (04): : 501 - 517
  • [4] On extremal theory for self-similar processes
    Albin, JMP
    ANNALS OF PROBABILITY, 1998, 26 (02): : 743 - 793
  • [5] Self-similar coarsening: A test of theory
    Thompson, John D.
    Gulsoy, E. Begum
    Voorhees, Peter W.
    ACTA MATERIALIA, 2015, 100 : 282 - 289
  • [6] Self-similar fractals and self-similar energies
    Metz, V
    FRACTALS IN GRAZ 2001: ANALYSIS - DYNAMICS - GEOMETRY - STOCHASTICS, 2003, : 225 - 240
  • [8] SELF-SIMILAR FRACTAL SETS - THEORY AND PROCEDURE
    CASEY, SD
    REINGOLD, NF
    IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1994, 14 (03) : 73 - 82
  • [9] DUALITY-THEORY FOR SELF-SIMILAR PROCESSES
    VUOLLEAPIALA, J
    GRAVERSEN, SE
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 1986, 22 (03): : 323 - 332
  • [10] Weylian reduction theory for self-similar models
    Yoshikawa, Makoto
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2015, 2015 (01):