Temporal Correlations and Persistence in the Kinetic Ising Model: the Role of Temperature

Details Temporal Correlations and Persistence in the Kinetic Ising Model: the Role of Temperature Temporal Correlations and Persistence in the Kinetic Ising Model: the Role of Temperature

2000-12-06

arxiv.org/abs/cond-mat/0012068v1

Eur. Phys. J. B 20, 281 (2001)

Physics

Condensed Matter

Statistical Mechanics

21 pages, 11 PostScript figures included (1 color figure)

Scientific paper

10.1007/s100510170277

We study the statistical properties of the sum $S_t=\int_{0}^{t}dt' \sigma_{t'}$, that is the difference of time spent positive or negative by the spin $\sigma_{t}$, located at a given site of a $D$-dimensional Ising model evolving under Glauber dynamics from a random initial configuration. We investigate the distribution of $S_{t}$ and the first-passage statistics (persistence) of this quantity. We discuss successively the three regimes of high temperature ($T>T_{c}$), criticality ($T=T_c$), and low temperature ($T

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