机构:
Sumy State Univ, Dept Phys Elect, UA-244007 Sumy, UkraineSumy State Univ, Dept Phys Elect, UA-244007 Sumy, Ukraine
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.