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Scale properties as a basis of power law relaxation processes

A. Fondado·J. Mira·J. Rivas
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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.

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A. Fondado, J. Mira, J. Rivas. 2006-08-07. Scale properties as a basis of power law relaxation processes. https://doi.org/10.1016/j.physd.2007.02.010

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