ISING DROPLETS, NUCLEATION, AND STRETCHED EXPONENTIAL RELAXATION

Dietrich Stauffer
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Dietrich Stauffer: Institute for Theoretical Physics, Cologne University, Zülpicherstr. 77, D-W-5000 Köln 41, Germany

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 05, 1059-1070

Abstract: The standard Ising model in two and three dimensions was simulated with Metropolis-Glauber kinetics on the Intel Hypercube with 32 MIMD processors of i860 type, each with 16 megabytes of distributed memory, and on 8 such processors of the Alliant FX with shared memory. The nucleation time in reverse magnetic fields h. was found to increase as1/h2in three dimensions, for times up to millions of iterations. The relaxation towards the equilibrium spontaneous magnetization was a simple exponential in three dimensions and a stretched exponential in two below the critical temperature; its power-law decay at the critical point lead toz=2.18(d=2)and=2.09 (d=3). The Becker-Döring equation for the growth of microdroplets leads at the critical temperature to a growth rate vanishing with some power of the time.

Keywords: Nucleation; relaxation; Ising model; parallel computing (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000695

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