Monte Carlo Studies of Spinodal Decomposition in the 2d Kinetic Ising Model

  • J. G. Amar
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 45)


Results obtained from extensive Monte Carlo simulations of domain growth in the two dimensional spin-exchange kinetic Ising model with equal numbers of up and down spins are presented. Using different measures of domain size — including the pair-correlation function, the energy, and circularly-averaged structure factor — the domain size is determined as a function of time (at T = 0.5 Tc) for times up to 106 Monte Carlo steps. The growth law R(t) = A + B t1/3 is found to provide an excellent fit to the data. Preliminary work, using the Connection Machine 2 (CM2) parallel-processor is also described.


Ising Model Domain Size Spinodal Decomposition Monte Carlo Step Domain Growth 
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  1. 1.
    S.M. Allen and J.W. Cahn, Acta Metall. 27, 1085 (1979).CrossRefGoogle Scholar
  2. 2.
    I.M. Lifshitz and V. V. Slyozov, J. Phys. Chem. Solids 19, 35 (1961).CrossRefADSGoogle Scholar
  3. 3.
    G.F. Mazenko, O.T. Vails, and F. C. Zhang, Phys. Rev. B 31, 4453 (1985); 32, 5807 (1985).CrossRefADSGoogle Scholar
  4. 4.
    M. Rao, M.H. Kalos, J.L. Lebowitz and J. Marro, Phys. Rev. B 13, 4328 (1976).CrossRefADSGoogle Scholar
  5. 5.
    J.L. Lebowitz, J. Marro, and M.H. Kalos, Acta Metall. 30, 297 (1982).CrossRefGoogle Scholar
  6. 6.
    G.S. Grest and D.J. Srolovitz, Phys. Rev. B 30, 5150 (1984).CrossRefADSGoogle Scholar
  7. 7.
    D.A. Huse, Phys.Rev. B 34, 7845 (1986).CrossRefADSGoogle Scholar
  8. 8.
    J.G. Amar, F.E. Sullivan, and R.D. Mountain, Phys.Rev. B37, 196 (1988).CrossRefADSGoogle Scholar
  9. 9.
    F. Sullivan and R.D. Mountain, in Proceedings of the Sixth International Phoenix Conference on Computers and Communications, Scottsdale, AZ (1987). IEEE Computer Society Press, IEEE Computer Society, 1730 Massachusetts Ave. NW, Washington, D.C. 20036Google Scholar
  10. 10.
    G. Bhanot, D. Duke, and R. Salvador, J. Stat. Phys. 44, 985 (1986).CrossRefzbMATHADSGoogle Scholar
  11. 11.
    J.G. Amar and R.D. Mountain, unpublished.Google Scholar
  12. 12.
    J.G. Amar and F.E. Sullivan, to be published in Computer Physics Communications.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • J. G. Amar
    • 1
  1. 1.Department of PhysicsEmory UniversityAtlantaUSA

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