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.
Survival Probability of a Gaussian Non-Markovian Process: Application to the T=0 Dynamics of the Ising Model.
Published 1996 in Physical Review Letters
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- Publication year
1996
- Venue
Physical Review Letters
- Publication date
1996-04-24
- Fields of study
Medicine, Physics
- Identifiers
- External record
- Source metadata
Semantic Scholar, PubMed
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