Article ID Journal Published Year Pages File Type
1899027 Physica D: Nonlinear Phenomena 2007 5 Pages PDF
Abstract

Computer simulations of first-order relaxation processes show that the spatial configurations of the system acquire an invariant shape once the stationary regime is attained. Inspired by them we find that, in any first-order relaxation process, if the interaction that governs the system fulfils a simple scale property, then the relaxation will end up by following a stationary process described by a power law. A scaling law and some invariants are obtained for the time evolution of the system in such a case.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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