Dynamic Renormalization Group Approach to Self-Organized Critical Phenomena
- 20 April 1994
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 26 (3) , 177-182
- https://doi.org/10.1209/0295-5075/26/3/004
Abstract
Two different models exhibiting self-organized criticality are analysed by means of the dynamic renormalization group. Although the two models differ by their behaviour under a parity transformation of the order parameter, it is shown that they both belong to the same universality class, in agreement with computer simulations. The asymptotic values of the critical exponents are estimated up to one-loop order from a systematic expansion of a non-linear equation in the number of coupling constants.Keywords
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