Test of universality in anisotropic 3D Ising model |
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| Institution: | 1. Physics Department, Al-Aqsa University, P.O. 4051, Gaza, Gaza Strip, Palestinian Authority;2. Institute for Theoretical Physics, Cologne University, D-50923 Köln, Germany;3. Physics Department, Islamic University, P.O. 108, Gaza, Gaza Strip, Palestinian Authority;1. Graduate School of Science and Technology, Hirosaki University, Hirosaki, Aomori 036-8561, Japan;2. Photon Factory, Institute of Materials Structure Science, Tsukuba, Ibaraki 305-0801, Japan;3. Graduate School of Science, Hiroshima University, Higashi-Hiroshima, Hiroshima 739-8526, Japan;4. Graduate School of Engineering, Osaka Prefecture University, Sakai, Osaka 599-8531, Japan;1. Grupo “Mecánica Fractal”, Instituto Politécnico Nacional, México D.F., 07738, Mexico;2. Department of Physics, Urmia Branch, Islamic Azad University, Urmia, Iran;1. Faculté des Sciences et Techniques de Santé, Université Mohammed VI des Sciences et Techniques de Santé, Casablanca, Morocco;2. LMPHE, Faculté des Sciences, Université Mohammed V – Agdal, Rabat, Morocco;3. Institute of Nanomaterials and Nanotechnology, MAScIR, Rabat, Morocco;4. Hassan II Academy of Science and Technology, Rabat, Morocco;1. LMPHE, Department of Physics, Faculté des Sciences, Université Mohammed V, Rabat, Morocco;2. Institute of Nanomaterials and Nanotechnology, MAScIR, Rabat, Morocco;3. Hassan II Academy of Science and Technology, Rabat, Morocco |
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| Abstract: | Chen and Dohm predicted theoretically in 2004 that the widely believed universality principle is violated in the Ising model on the simple cubic lattice with more than only six nearest neighbours. Schulte and Drope by Monte Carlo simulations found such violation, but not in the predicted direction. Selke and Shchur tested the square lattice. Here, we check only this universality for the susceptibility ratio near the critical point. For this purpose we study first the standard Ising model on a simple cubic lattice with six nearest neighbours, then with six nearest and 12 next-nearest neighbours, and compare the results with the Chen–Dohm lattice of six nearest neighbours and only half of the 12 next-nearest neighbours. We do not confirm the violation of universality found by Schulte and Drope in the susceptibility ratio. |
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