Stationary definition of persistence for finite temperature phase ordering

Details Stationary definition of persistence for finite temperature phase ordering Stationary definition of persistence for finite temperature phase ordering

1998-08-14

arxiv.org/abs/cond-mat/9808153v1

J. Phys. A 31, 9801 (1998)

Physics

Condensed Matter

Statistical Mechanics

latex

Scientific paper

10.1088/0305-4470/31/49/004

For the two dimensional kinetic Ising model at finite temperature, the local mean magnetisation $M_t=t^{-1}\int_{0}^t\sigma(t')\d t'$, simply related to the fraction of time spent by a given spin in the positive direction, has a limiting distribution, singular at $\pm m_0(T)$, the Onsager spontaneous magnetization. The exponent of this singularity defines the persistence exponent $\theta$. We also study first passage exponents associated to persistent large deviations of $M_t$, and their temperature dependence.

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