Nonlinear Stochastic Differential Equations and Self-Organized Criticality

Details Nonlinear Stochastic Differential Equations and Self-Organized Criticality Nonlinear Stochastic Differential Equations and Self-Organized Criticality

1993-12-14

arxiv.org/abs/cond-mat/9312051v1

Physics

Condensed Matter

RevTeX 3.0, no figures

Scientific paper

Several nonlinear stochastic differential equations have been proposed in connection with self-organized critical phenomena. Due to the threshold condition involved in its dynamic evolution an infinite number of nonlinearities arises in a hydrodynamic description. We study two models with different noise correlations which make all the nonlinear contribution to be equally relevant below the upper critical dimension. The asymptotic values of the critical exponents are estimated from a systematic expansion in the number of coupling constants by means of the dynamic renormalization group.

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