Percolation framework in Ising-spin relaxation.

Phys Rev E Stat Nonlin Soft Matter Phys

Institute of Theoretical Physics, University of Wrocław, Maxa Borna 9, 50-204 Wrocław, Poland.

Published: January 2009

We introduce a framework based on the percolation idea to investigate the relaxation under zero-temperature Glauber and outflow dynamics on L x L square and triangular lattices. This helps us to understand the appearance of a double time regime in the survival probability. We show that the first, short-time, regime corresponds to relaxation through droplets and the second, long-time, regime corresponds to relaxation through stripes. For both dynamics the probability that the system becomes ordered through droplets (which indicates fast relaxation) is about 2/3 .

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http://dx.doi.org/10.1103/PhysRevE.79.011119DOI Listing

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