STATIONARY DEFINITION OF PERSISTENCE FOR FINITE-TEMPERATURE PHASE ORDERING

For the two-dimensional kinetic Ising model at finite temperature, the local mean magnetization , simply related to the fraction of time spent by a given spin in the positive direction, has a limiting distribution, singular at , the Onsager spontaneous magnetization. The exponent of this singularity defines the persistence exponent . We also study first passage exponents associated to persistent large deviations of , and their temperature dependence.

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