Scale properties as a basis of power law relaxation processes

Details Scale properties as a basis of power law relaxation processes Scale properties as a basis of power law relaxation processes

2006-08-07

arxiv.org/abs/cond-mat/0608170v1

Physics

Condensed Matter

Other Condensed Matter

13 pages, 4 figures

Scientific paper

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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