Spatial scaling in persistence

Purusattam Ray

Physica A: Statistical Mechanics and its Applications, 2002, vol. 314, issue 1, 97-102

Abstract: We discuss persistence in the context of non-equilibrium processes such as coarsening in Ising and Potts models. The persistence phenomenon shows strong spatial correlation with a correlation length ξ which diverges with time. In the correlated region r<ξ, persistent sites form a fractal and the structure evolves in time obeying a dynamical scaling. We discuss such fractal formation in the context of a reaction–diffusion system in one dimension.

Keywords: Persistence; Scaling; Fractal (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:314:y:2002:i:1:p:97-102

DOI: 10.1016/S0378-4371(02)01149-4

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