MONTE CARLO SIMULATION OF NUCLEATION IN THE TWO-DIMENSIONAL POTTS MODEL

S. B. Rutkevich ()
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S. B. Rutkevich: Institute for Theoretical Physics, University of Cologne, D-50937 Köln, Germany

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 04, 495-508

Abstract: Nucleation in the two-dimensionalq-state Potts model has been studied by means of Monte Carlo simulations using the heat-bath dynamics. The initial metastable state has been prepared by magnetic quench of the ordered low-temperature phase. The magnetic field dependence of the nucleation time has been measured as the function of the magnetic field for differentqand lattice sizes atT = 0.5Tc. A size-dependent crossover from the coalescence to nucleation region is observed at allq. The magnetic field dependence of the nucleation time is roughly described by the classical nucleation theory. Our data show increase of the anisotropy in the shape of the critical droplets with increase ofq.

Keywords: Potts model; nucleation; metastable state; critical droplet; Monte Carlo simulations (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003255

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