English

Generalized persistence exponents: an exactly soluble model

Statistical Mechanics 2009-10-31 v1

Abstract

It was recently realized that the persistence exponent appearing in the dynamics of nonequilibrium systems is a special member of a continuously varying family of exponents, describing generalized persistence properties. We propose and solve a simplified model of coarsening, where time intervals between spin flips are independent, and distributed according to a L\'evy law. Both the limit distribution of the mean magnetization and the generalized persistence exponents are obtained exactly.

Cite

@article{arxiv.cond-mat/9805212,
  title  = {Generalized persistence exponents: an exactly soluble model},
  author = {A. Baldassarri and J. P. Bouchaud and I. Dornic and C. Godrèche},
  journal= {arXiv preprint arXiv:cond-mat/9805212},
  year   = {2009}
}

Comments

4 pages, 3 figures Submitted to PRL