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

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

1996-04-24

arxiv.org/abs/cond-mat/9604151v2

Phys. Rev. Lett. 77, 1420 (1996)

Physics

Condensed Matter

13 pages RevTeX. Updated and corrected version accepted for publication (11th July 96) in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.77.1420

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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