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Monte Carlo Method For Spin Models With Long-Range Interactions

Author

Listed:
  • ERIK LUIJTEN

    (Faculty of Applied Physics, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands)

  • HENK W.J. BLÖTE

    (Faculty of Applied Physics, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands)

Abstract

We introduce a Monte Carlo method for the simulation of spin models with ferromagnetic long-range interactions in which the amount of time per spin-flip operation is independent of the system size, in spite of the fact that the interactions between each spin andallother spins are taken into account. We work out two algorithms for theq-state Potts model and discuss the generalization to systems with other interactions and toO(n)models. We illustrate the method with a simulation of the mean-field Ising model, for which we have also analytically calculated the leading finite-size correction to the dimensionless amplitude ratio 2/ at the critical temperature.

Suggested Citation

  • Erik Luijten & Henk W.J. Blöte, 1995. "Monte Carlo Method For Spin Models With Long-Range Interactions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 6(03), pages 359-370.
    • Handle: RePEc:wsi:ijmpcx:v:06:y:1995:i:03:n:s0129183195000265
    DOI: 10.1142/S0129183195000265
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