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Universal Finite-Size-Scaling Functions

Author

Listed:
  • YUTAKA OKABE

    (Department of Physics, Tokyo Metropolitan University, Tokyo 192-03, Japan)

  • MACOTO KIKUCHI

    (Department of Physics, Osaka University, Toyonaka 560, Japan)

Abstract

The idea of universal finite-size-scaling functions of the Ising model is tested by Monte Carlo simulations for various lattices. Not only regular lattices such as the square lattice but quasiperiodic lattices such as the Penrose lattice are treated. We show that the finite-size-scaling functions of the order parameter for various lattices are collapsed on a single curve by choosing two nonuniversal scaling metric factors. We extend the idea of the universal finite-size-scaling functions to the order-parameter distribution function. We pay attention to the effects of boundary conditions.

Suggested Citation

  • Yutaka Okabe & Macoto Kikuchi, 1996. "Universal Finite-Size-Scaling Functions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(03), pages 287-294.
    • Handle: RePEc:wsi:ijmpcx:v:07:y:1996:i:03:n:s0129183196000223
    DOI: 10.1142/S0129183196000223
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