First-Passage Time: A Conception Leading to Superstatistics. II. Continuous Distributions and their Applications

Details First-Passage Time: A Conception Leading to Superstatistics. II. Continuous Distributions and their Applications First-Passage Time: A Conception Leading to Superstatistics. II. Continuous Distributions and their Applications

2005-09-13

arxiv.org/abs/physics/0509099v2

Physics

Chemical Physics

19 pages, 3 figures

Scientific paper

A continuous approximation for the results of [1] is obtained. In this approximation the energy distribution is represented in the form of the product of the Gibbs factor and superstatistics factor. The mutual weights of the factors are defined by the control parameter of the problem. Various approximations for the superstatistics factor are written. The resulting distribution is compared to a number of known results (multiplicative noise, Van der Pol generator etc). It is applied to the description of self-organized criticality, statistics of cosmic rays etc as well.

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