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Survival Probability of a Gaussian Non-Markovian Process: Application to the T=0 Dynamics of the Ising Model

Satya N. Majumdar·Clément Sire
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Abstract

We study the decay of the probability for a non-Markovian stationary Gaussian walker not to cross the origin up to time $t$. This result is then used to evaluate the fraction of spins that do not flip up to time $t$ 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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Satya N. Majumdar, Clément Sire. 1996-07-16. Survival Probability of a Gaussian Non-Markovian Process: Application to the T=0 Dynamics of the Ising Model. https://doi.org/10.1103/physrevlett.77.1420

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