Scale properties as a basis of power law relaxation processes

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 si...

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Bibliographic Details
Published in:	Physica. D Vol. 228; no. 2; pp. 107 - 111
Main Authors:	Fondado, A., Mira, J., Rivas, J.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 15-04-2007 Elsevier
Subjects:	Exact sciences and technology Physics Power law Relaxation Scale properties Stationary processes Relaxation Power law Scale properties Stationary processes Invariant First order Scaling laws Stationary process Invarying system Non linear phenomenon
Online Access:	Get full text
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Summary:	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.
ISSN:	0167-2789 1872-8022
DOI:	10.1016/j.physd.2007.02.010