Dynamical Behavior of Persistent Spins in the Triangular Potts Model

Michael Hennecke ()
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Michael Hennecke: University of Karlsruhe, Computing Center

A chapter in High Performance Computing in Science and Engineering ’98, 1999, pp 26-34 from Springer

Abstract: Abstract 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 θ depending on Q but not on temperature T. At zero temperature, asymptotic exponents θ have been calculated for the whole range of Q = 3 to ∞. In accordance with exact results in one dimension and early Monte Carlo studies in two dimensions, θ increases from 0.31 to unity as Q increases from 3 to ∞. For small Q, it has also been shown that θ approaches the same universal value for both zero and non-zero temperatures (below the critical temperature Tc).

Keywords: Potts Model; File System; Server Node; Nonzero Temperature; Effective Exponent (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-58600-2_4

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DOI: 10.1007/978-3-642-58600-2_4

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