Scale properties as a basis of power law relaxation processes

✍ Scribed by A. Fondado; J. Mira; J. Rivas

• Book ID: 104086187
• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 672 KB
• Volume: 228
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/j.physd.2007.02.010

✦ Synopsis

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.