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Simulations of the 3D Ising Model at Criticality

100%

Blöte H., Kamieniarz G.

Acta Physica Polonica A

1994

vol. 85

issue 2

395-398

We present some new finite-size results for the Binder cumulant that we obtained by means of a transfer-matrix perturbation expansion and by the cluster Monte Carlo methods - the Swendsen-Wang and Wolff algorithms and the largest-cluster method. A finite-size scaling analysis taking into account a correction to scaling locates the critical coupling at Kc = 0.221649(4).

Critical Behaviour of Some 2D Lattice Models

81%

Kamieniarz G., Blöte H., Dekeyser R.

Acta Physica Polonica A

1994

vol. 85

issue 2

389-393

The density series of the non-interacting hard-square lattice gas model are reanalyzed by the ratio, Dlog Padé and differential approximant methods. The problem of poor consistency between series and other results is resolved. Transfer matrix calculations are performed, implementing both finite-size scaling and conformal invariance. Very accurate estimates of the critical exponents y_{t}, and y_{h} are obtained in agreement with Ising universality. Furthermore, an improvement of the value of the critical density ρ_{c} is found. In addition, the universal critical-point ratios of the square of the second and the fourth moment of the magnetization for ferromagnetic Ising models on the square and on the triangular lattice with periodic boundary conditions are reported.

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2 Acta Physica Polonica A

2 1994

2 Blöte H.

2 Kamieniarz G.

1 Dekeyser R.

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Simulations of the 3D Ising Model at Criticality

Critical Behaviour of Some 2D Lattice Models