 Spin-32 Ising model by the cluster variation method and the path probability methodO. Canko and M. Keskin Physica A: Statistical Mechanics and its Applications, 2006, vol. 363, issue 2, 315-326 Abstract: The spin-32 Ising model Hamiltonian with arbitrary bilinear (J) and biquadratic (K) pair interactions is studied by using the lowest approximation of the cluster variation method (LACVM) and the path probability method (PPM) with the point distribution. First, equilibrium properties of the model are presented briefly by using the LACVM in order to understand dynamics of the model easily. Then, the PPM with the point distribution is applied to the model and the set of nonlinear differential equations, which is also called the dynamic or rate equations, is obtained. These equations are solved by two different methods: the first one is the Runge–Kutta method and the second one is to express the solution of the equations by means of the flow diagram. The results are also discussed. Keywords: Spin-32 Ising model; Cluster variation method; Path probability method; Metastable and unstable states; Relaxation curves (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:363:y:2006:i:2:p:315-326 DOI: 10.1016/j.physa.2005.08.022 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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