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Stationary definition of persistence for finite temperature phase ordering

J-M Drouffe·C Godreche
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Abstract

For the two dimensional kinetic Ising model at finite temperature, the local mean magnetisation $M_t=t^{-1}\int_{0}^tσ(t')\d t'$, 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 $θ$. We also study first passage exponents associated to persistent large deviations of $M_t$, and their temperature dependence.

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J-M Drouffe, C Godreche. 1998-08-14. Stationary definition of persistence for finite temperature phase ordering. https://doi.org/10.1088/0305-4470%2F31%2F49%2F004

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