THE SIMULATION OF THE TWO-DIMENSIONAL ISING MODEL IN THE PRESENCE OF AN EXTERNAL MAGNETIC FIELD ON THE CREUTZ CELLULAR AUTOMATON-Reference-Cited by-同舟云学术

THE SIMULATION OF THE TWO-DIMENSIONAL ISING MODEL IN THE PRESENCE OF AN EXTERNAL MAGNETIC FIELD ON THE CREUTZ CELLULAR AUTOMATON

Published:2000-05 Issue:03 Volume:11 Page:561-572
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

KUTLU B.¹,KASAP M.¹,TURAN S.²

Affiliation:

1. Gazi Üniversitesi, Fen-Edebiyat Fakültesi, Fizik Bölümü, 06500 Teknikokullar, Ankara, Turkey

2. Ankara Nükleer Araṣtırma ve Eǧitim Merkezi, 06100 Beṣevler, Ankara, Turkey

Abstract

The two-dimensional Ising model in a small external magnetic field, is simulated on the Creutz cellular automaton. The values of the static critical exponents for 0.0025 ≤ h ≤ 0.025 are estimated within the framework of the finite size scaling theory. The value of the field critical exponent is in a good agreement with its theoretical value of δ = 15. The results for 0.0025 ≤ h ≤ 0.025 are compatible with Ising critical behavior for T < Tc.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S012918310000047X

Reference10 articles.

1. Low-temperature asymptotics for the Ising model in an external magnetic field

2. A New Exact Method for Solving the Two-Dimensional Ising Model

3. Phase diagrams and critical behavior in Ising square lattices with nearest- and next-nearest-neighbor interactions

4. New real-space renormalization techniques and their application to models of various spin and space dimensionalities

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