English

Gauge theory of self-similar system

Statistical Mechanics 2009-10-31 v1

Abstract

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>1q>1. An exponential falling down happens at large time where the dilatation parameter and the partial scale tend to constant values.

Keywords

Cite

@article{arxiv.cond-mat/0003469,
  title  = {Gauge theory of self-similar system},
  author = {Alexander I. Olemskoi},
  journal= {arXiv preprint arXiv:cond-mat/0003469},
  year   = {2009}
}

Comments

8 pages, LaTeX