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

Z. Merdan
^{a}, N. Aras^{ a} and C. Kürkçü^{ b}^{a}Faculty of Arts and Sciences, Department of Physics, Gazi University, Ankara, Turkey
^{b}Faculty of Arts and Sciences, Department of Physics, Ahi Evran University, Kirsehir, Turkey |

Received: October 7, 2015; In final form: March 16, 2016 |

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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. |

DOI: 10.12693/APhysPolA.129.1100 PACS numbers: 05.50.+q, 64.60.Cn, 75.40.Cx, 75.40.Mg |