Survival Probability of a Gaussian Non-Markovian Process: Application to theDynamics of the Ising Model
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- 19 August 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 77 (8) , 1420-1423
Abstract
We study the decay of the probability for a non-Markovian stationary Gaussian walker not to cross the origin up to time . This result is then used to evaluate the fraction of spins that do not flip up to time in the zero temperature Monte Carlo spin flip dynamics of the Ising model. Our results are compared to extensive numerical simulations.
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