The Test of a New Critical Exponent Ϙ by Using Ising Model on the Creutz Cellular Automaton

• Authors: Z. Merdan , D. Gokbel-Keklikoglu
• Languages of publication: EN

Abstracts

EN

Above the upper critical dimension d_{c} the Ising model is simulated on the Creutz cellular automaton. The values of a new critical exponent Ϙ are obtained by using the simulations for the order parameter and the magnetic susceptibility. At d=4,5,6,7,8, the values of the new critical exponent Ϙ are 0.9904(16), 1.2721(2), 1.4806(24), 1.7626(17), 1.9997(50) for the order parameter, respectively, while those 1.0415(13), 1.2987(27), 1.5133(1), 1.7741(1), 2.0133(28) are for the magnetic susceptibility in the same order. The computed values of the new critical exponent Ϙ are in agreement with theoretical values.

Keywords

EN

Ising model; cellular automata; critical exponents; finite-size scaling; modified finite-size scaling

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 5
• Pages: 1200-1204

Dates

published

2018-05

received

2017-07-10

(unknown)

2018-01-02

Contributors

author

Z. Merdan

• Gazi University, Faculty of Science, Department of Physics, 06500 Teknikokullar, Ankara, Turkey

author

D. Gokbel-Keklikoglu

• Gazi University, Faculty of Science, Department of Physics, 06500 Teknikokullar, Ankara, Turkey

Identifiers

DOI

10.12693/APhysPolA.133.1200