Gauge theory of self-similar system

Details Gauge theory of self-similar system Gauge theory of self-similar system

2000-03-29

arxiv.org/abs/cond-mat/0003469v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, LaTeX

Scientific paper

10.1016/S0378-4371(01)00012-7

On the basis of a dilatation invariant Lagrangian, governed equations are determined for probability density and gauge potential of the non-stationary self-similar stochastic system. It is shown that an automodel regime is observed at small time interval determined by the Tsallis' parameter $q>1$. An exponential falling down happens at large time where the dilatation parameter and the partial scale tend to constant values.

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