Generalized thermostatistics based on multifractal phase space

Details Generalized thermostatistics based on multifractal phase space Generalized thermostatistics based on multifractal phase space

2006-01-30

arxiv.org/abs/cond-mat/0601665v3

Physics

Condensed Matter

Statistical Mechanics

8 pages, LaTeX

Scientific paper

We consider the self-similar phase space with reduced fractal dimension $d$ being distributed within domain $01$ of the multifractal function $\tau(q)= qd(q)-f(d(q))$, being the specific heat, $q\in(1,\infty)$ is multifractal parameter. In this way, the equipartition law is shown to take place. Optimization of the multifractal spectrum $f(d)$ derives the relation between the statistical weight and the system complexity.

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