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Ising Droplets, Nucleation, And Stretched Exponential Relaxation

Author

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  • Dietrich Stauffer

    (Institute for Theoretical Physics, Cologne University, Zülpicherstr. 77, D-W-5000 Köln 41, Germany)

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.

Suggested Citation

  • Dietrich Stauffer, 1992. "Ising Droplets, Nucleation, And Stretched Exponential Relaxation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 3(05), pages 1059-1070.
    • Handle: RePEc:wsi:ijmpcx:v:03:y:1992:i:05:n:s0129183192000695
    DOI: 10.1142/S0129183192000695
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    Cited by:

    1. Ali Hosseiny & Mohammad Bahrami & Antonio Palestrini & Mauro Gallegati, 2016. "Metastable Features of Economic Networks and Responses to Exogenous Shocks," PLOS ONE, Public Library of Science, vol. 11(10), pages 1-22, October.

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