Constructing the Critical Curve for a Symmetric Two-Layer Ising Model

dc.creatorGhaemi, M.
dc.creatorMirza, B.
dc.creatorParsafar, G. A.
dc.date2004-06-27
dc.date.accessioned2026-07-07T02:58:52Z
dc.date.available2026-07-07T02:58:52Z
dc.descriptionA numerical method based on the transfer matrix method is developed to calculate the critical temperature of two-layer Ising ferromagnet with a weak inter-layer coupling. The reduced internal energy per site has been accurately calculated for symmetric ferromagnetic case, with the nearest neighbor coupling K1 = K2 = K (where K1 and K2 are the nearest neighbor interaction in the first and second layers, respectively) with inter layer coupling J. The critical temperature as a function of the inter-layer coupling J/K << 1, is obtained for very weak inter-layer interactions,J/K < 0.1 . Also a different function is given for the case of the strong inter-layer interactions (J/K > 1). The importance of these relations is due to the fact that there is no well tabulated data for the critical points versus J/K. We find the value of the shift exponent Phi = Gama is 1.74 for the system with the same intra-layer interaction and 0.5 for the system with different intra-layer interactions.
dc.description16 pages, 2 figures, 2tables
dc.identifierhttps://arxiv.org/abs/cond-mat/0406664
dc.identifierhttp://arxiv.org/abs/cond-mat/0406664
dc.identifierJ. Theo. Comp. Chem.Vol. 3, No. 2, 217-224(2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24283
dc.subjectStatistical Mechanics
dc.titleConstructing the Critical Curve for a Symmetric Two-Layer Ising Model
dc.typetext

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