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A new approach to critical exponents in phase-transitions of spin-systems

Author

Listed:
  • Prüßner, G.
  • Loison, D.
  • Schotte, K.D.

Abstract

We investigate a method to obtain critical exponents using standard numerical simulation techniques for spin systems. We show that by analyzing the inverse of the logarithmic derivative of the susceptibility χ with respect to temperature the accuracy in determining γ can be increased significantly. The method is tested on the two- and three-dimensional Ising models but this alternative approach is thought to be most useful for spin systems on non-periodic structures like quasi-crystals and fractal lattices where the finite size scaling method is difficult to apply.

Suggested Citation

  • Prüßner, G. & Loison, D. & Schotte, K.D., 2000. "A new approach to critical exponents in phase-transitions of spin-systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 292-298.
    • Handle: RePEc:eee:phsmap:v:286:y:2000:i:1:p:292-298
    DOI: 10.1016/S0378-4371(00)00182-5
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