Generalized persistence exponents: an exactly soluble model

Details Generalized persistence exponents: an exactly soluble model Generalized persistence exponents: an exactly soluble model

1998-05-18

arxiv.org/abs/cond-mat/9805212v1

Phys. Rev. E 59, R20 (1999)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures Submitted to PRL

Scientific paper

10.1103/PhysRevE.59.R20

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.

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