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- W2064928246 abstract "We consider a periodic Ising chain with nearest-neighbor and $r$th neighbor interaction and quench it from infinite temperature to zero temperature. The persistence probability $P(t)$, measured as the probability that a spin remains unflipped up to time $t$, is studied by computer simulation for suitable values of $r$. We observe that as time progresses, $P(t)$ first decays as ${t}^{ensuremath{-}0.22}$ (the first regime), then the $P(t)text{ensuremath{-}}t$ curve has a small slope (in log-log scale) for some time (the second regime) and at last it decays nearly as ${t}^{ensuremath{-}3/8}$ (the third regime). We argue that in the first regime, the persistence behavior is the usual one for a two-dimensional system, in the second regime it is like that of a noninteracting (``zero-dimensional'') system, and in the third regime the persistence behavior is like that of a one-dimensional Ising model. We also provide explanations for such behavior." @default.
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- W2064928246 date "2008-03-10" @default.
- W2064928246 modified "2023-09-23" @default.
- W2064928246 title "Multidimensional persistence behavior in an Ising system" @default.
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- W2064928246 doi "https://doi.org/10.1103/physreve.77.031111" @default.
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