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

G. Prüßner, D. Loison and K.D. Schotte

Physica A: Statistical Mechanics and its Applications, 2000, vol. 286, issue 1, 292-298

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.

Keywords: Monte Carlo simulations; Critical exponents determination (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:286:y:2000:i:1:p:292-298

DOI: 10.1016/S0378-4371(00)00182-5

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