Stationary definition of persistence for finite temperature phase ordering

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 $\theta$. We also study first passage exponents associated to persistent large deviations of $M_t$, and their temperature dependence.

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References in corpus (2)

• Large deviations and nontrivial exponents in coarsening systems
• Diffusive persistence and the `sign-time' distribution

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