Finite-size effects in the approximating Hamiltonian method

J.G. Brankov

Physica A: Statistical Mechanics and its Applications, 1990, vol. 168, issue 3, 1035-1054

Abstract: The Husimi-Temperley mean spherical model, in which each two particles interact with equal strength, is considered. This model is shown to be equivalent to a d-dimensional model with periodic boundary conditions and interaction potential σJσ(r), where Jσ(r) ∼ r−d−σ as r→∞, σ > 0 being a parameter, in the limit σ→0. It is found that the approximating Hamiltonian method yields singular finite-size scaling functions both in the neighbourhood of the critical point and near a first-order phase transition. A modification of this method is suggested, which allows for all the essential configurations and reproduces the exact finite-size scaling near a first-order phase transition.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:168:y:1990:i:3:p:1035-1054

DOI: 10.1016/0378-4371(90)90270-3

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