Generalized persistence exponents: an exactly soluble model
arXiv:cond-mat/9805212 · doi:10.1103/PhysRevE.59.R20
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 Lévy law. Both the limit distribution of the mean magnetization and the generalized persistence exponents are obtained exactly.
4 pages, 3 figures Submitted to PRL