On superstatistical multiplicative-noise processes

Details On superstatistical multiplicative-noise processes On superstatistical multiplicative-noise processes

2007-09-28

arxiv.org/abs/0709.4653v3

Braz. J. Phys. 38, 203 (2008)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 8 figures. A note about the application on turbulence models has been added to this final published version

Scientific paper

10.1590/S0103-97332008000200001

In this manuscript we analyse the long-term probability density function of non-stationary dynamical processes which are enclosed inward the Feller class of processes with time varying exponents for multiplicative noise. The update in the value of the exponent occurs in the same conditions presented by Beck and Cohen for superstatistics. Moreover, we are able to provide a dynamical scenario for the emergence of a generalisation of the Weibull distribution previously introduced.

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