Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-06-17
Rapid Communication in Phys Rev E60, R2445 (1999)
Physics
Condensed Matter
Disordered Systems and Neural Networks
some minor changes to the text, one additional reference
Scientific paper
10.1103/PhysRevE.60.R2445
The non-equilibrium dynamics of the strongly diluted random-bond Ising model in two-dimensions (2d) is investigated numerically. The persistence probability, P(t), of spins which do not flip by time t is found to decay to a non-zero, dilution-dependent, value $P(\infty)$. We find that $p(t)=P(t)-P(\infty)$ decays exponentially to zero at large times. Furthermore, the fraction of spins which never flip is a monotonically increasing function over the range of bond-dilution considered. Our findings, which are consistent with a recent result of Newman and Stein, suggest that persistence in disordered and pure systems falls into different classes. Furthermore, its behaviour would also appear to depend crucially on the strength of the dilution present.
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