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Generalized persistence exponents: an exactly soluble model

A. Baldassarri·J. P. Bouchaud·I. Dornic·C. Godrèche
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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.

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A. Baldassarri, J. P. Bouchaud, I. Dornic, C. Godrèche. 1998-05-18. Generalized persistence exponents: an exactly soluble model. https://doi.org/10.1103/physreve.59.r20

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