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Scale properties as a basis of power law relaxation processes

Other Condensed Matter 2015-06-25 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0608170,
  title  = {Scale properties as a basis of power law relaxation processes},
  author = {A. Fondado and J. Mira and J. Rivas},
  journal= {arXiv preprint arXiv:cond-mat/0608170},
  year   = {2015}
}

Comments

13 pages, 4 figures