Dynamical Behavior of Persistent

نویسنده

  • Michael Hennecke
چکیده

This article summarizes the results of a series of Monte Carlo simulations of persistent spins or \survivors" in the triangular Q-state Potts model. It is shown that the fraction F(t) of survivors decays algebraically in time t, with nontrivial exponents depending on Q but not on temperature T. At zero temperature , asymptotic exponents have been calculated for the whole range of Q = 3 to 1. In accordance with exact results in one dimension and early Monte Carlo studies in two dimensions, increases from 0:31 to unity as Q increases from 3 to 1. For small Q, it has also been shown that approaches the same universal value for both zero and non-zero temperatures (below the critical temperature TC).

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تاریخ انتشار 2007