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

Autor:	K. D. Schotte, G. Prüßner, D. Loison
Rok vydání:	2000
Předmět:	Statistics and Probability Phase transition Fractal Critical phenomena Ising model Statistical physics Logarithmic derivative Condensed Matter Physics Widom scaling Critical exponent Spin-½ Mathematics
Zdroj:	Physica A: Statistical Mechanics and its Applications. 286:292-298
ISSN:	0378-4371
DOI:	10.1016/s0378-4371(00)00182-5
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7ead7f6059092ddaf18e0648f86d2408 https://doi.org/10.1016/s0378-4371(00)00182-5 Zobrazit plný text záznamu Full Text from ScienceDirect