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Hard-square lattice gas (1980)

Baxter, R. J. ; Enting, I. G. ; Tsang, S. K.

Springer

Journal of statistical physics 22 (1980), S. 465-489

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ISSN: 1572-9613

Keywords: Lattice statistics ; series expansions ; corner transfer matrices

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We have studied the hard-square lattice gas, using corner transfer matrices. In particular, we have obtained the first 24 terms of the high-density series for the order parameterρ 2−ρ 1. From these we estimate the critical activity to be 3.7962±0.0001. This is in excellent agreement with the earlier work of Gaunt and Fisher. It conflicts with the value 4.0 given by Müller-Hartmann and Zittartz's formula for the critical point of the antiferromagnetic Ising model in a field, so we conclude that this formula, while a good approximation, is not exact.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01012867

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