Kharchenko D. Correlation effects in self-organization process of self-similar stochastic systems

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0506U000320

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

17-05-2006

Specialized Academic Board

Д 64.169.01

Institute for single crystals NASU

Essay

Relations between fractal dimension of the phase space, exponent of the multiplicative noise, non-additivity parameter and dynamic exponent of the anomalous diffusion are stated. Autocorrelations of the multiplicative noise lead to reentrant phase transition. It is found that cross-correlations of both additive and multiplicative noises act as an external field. The self-organized criticality is appeared in the case of adiabatic bahaviour of avalanche velocity.

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