The Finite-Size Scaling Study of Five-Dimensional Ising Model

• Authors: Z. Merdan , N. Aras , C. Kürkçü
• Languages of publication: EN

Abstracts

EN

The five-dimensional ferromagnetic Ising model is simulated on the Creutz cellular automaton algorithm using finite-size lattices with linear dimension 4 ≤ L ≤ 8. The critical temperature value of infinite lattice is found to be T^{χ} (∞=8.7811 (1) using 4 ≤ L ≤ 8 which is also in very good agreement with the precise result. The value of the field critical exponent (δ =3.0067(2)) is good agreement with δ =3 which is obtained from scaling law of Widom. The exponents in the finite-size scaling relations for the magnetic susceptibility and the order parameter at the infinite-lattice critical temperature are computed to be 2.5080 (1), 2.5005 (3) and 1.2501 (1) using 4 ≤ L ≤ 8, respectively, which are in very good agreement with the theoretical predictions of 5/2 and 5/4. The finite-size scaling plots of magnetic susceptibility and the order parameter verify the finite-size scaling relations about the infinite-lattice temperature.

Keywords

EN

05.50.+q; 64.60.Cn; 75.40.Cx; 75.40.Mg

Discipline

• 75.40.Mg: Numerical simulation studies
• 75.40.Cx: Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)
• 05.50.+q: Lattice theory and statistics (Ising, Potts, etc.)(see also 64.60.Cn Order-disorder transformations, and 75.10.Hk Classical spin models)
• 64.60.Cn: Order-disorder transformations(see also 81.30.Hd Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder in materials science; for effects of disorder on superconducting transition temperature, see 74.62.En)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 129
• Issue: 6
• Pages: 1100-1104

Dates

published

2016-06

received

2015-10-07

(unknown)

2016-03-16

Contributors

author

Z. Merdan

• Faculty of Arts and Sciences, Department of Physics, Gazi University, Ankara, Turkey

author

N. Aras

• Faculty of Arts and Sciences, Department of Physics, Gazi University, Ankara, Turkey

author

C. Kürkçü

• Faculty of Arts and Sciences, Department of Physics, Ahi Evran University, Kirsehir, Turkey

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Identifiers

DOI

10.12693/APhysPolA.129.1100