Abstract

We introduce the general formulation of a renormalization method suitable to study the critical properties of nonequilibrium systems with steady states: the dynamically driven renormalization group. We renormalize the time evolution operator by computing the rescaled time transition rate between coarse grained states. The obtained renormalization equations are coupled to a stationarity condition which provides the approximate nonequilibrium statistical weights of steady-state configurations to be used in the calculations. in this way we are able to write recursion relations for the parameter evolution under scale change, from which we can extract numerical values for the critical exponents. This general framework allows the systematic analysis of several models showing self-organized criticality in terms of usual concepts of phase transitions and critical phenomena.

Notes

Originally published in Physical Review Letters, v.77 no.22 (1996), pp.4560-4563. DOI:10.1103/PhysRevLett.77.4560. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.

Keywords

nonequilibrium systems, steady states

Subject Categories

Renormalization (Physics)

Disciplines

Physics

Publisher

American Physical Society

Publication Date

11-25-1996

Rights Information

©1996 American Physical Society

Rights Holder

American Physical Society

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