Extended scaling functions for Ising systems with dimensionality 1⩽d⩽4

Manuel I Marqués and Julio A Gonzalo

Physica A: Statistical Mechanics and its Applications, 1999, vol. 267, issue 1, 165-172

Abstract: Finite-size lattice Monte Carlo simulations of phase transitions in Ising systems (1⩽d⩽4) allow the determination of simple binomial scaling functions for TTc, consistent with the asymptotic behavior for the critical isotherm, the spontaneous magnetization and the zero field susceptibility, which describe quite well the scaling behavior in an extended range of the scaling variable, 0.01⩽|(T−Tc)/Tc|L1/ν⩽20, for all four dimensionalities.

Keywords: Scaling functions; Ising model; Monte Carlo simulations (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:267:y:1999:i:1:p:165-172

DOI: 10.1016/S0378-4371(98)00675-X

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