Exact results for the spin-1 Ising model on pure “square” Husimi lattices: Critical temperatures and spontaneous magnetization
作者： E. Jurčišinová , M. Jurčišin
DOI: 10.1016/J.PHYSA.2015.10.060
关键词:
摘要: Abstract We investigate the second order phase transitions of ferromagnetic spin-1 Ising model on pure Husimi lattices built up from elementary squares with arbitrary values coordination number. It is shown that critical temperatures are driven by a single equation simultaneously all such lattices. also for given value number this equivalent to corresponding polynomial equation. The explicit form these equations present numbers z = 4 , 6 and 8 . proven that, at least small number, positions uniquely determined. In addition, it properties phases squares. spontaneous magnetization investigated in detail.
harvard.edu
sci-hub.se 参考文章(32)
E. Jurčišinová, M. Jurčišin, Solution of the antiferromagnetic Ising model on a tetrahedron recursive lattice. Physical Review E. ,vol. 89, pp. 032123- ,(2014) , 10.1103/PHYSREVE.89.032123
E. Jurčišinová, M. Jurčišin, Phase transitions of the p-spin model on pure Husimi lattices. Physical Review E. ,vol. 88, pp. 012140- ,(2013) , 10.1103/PHYSREVE.88.012140
I G Enting, A J Guttmann, I Jensen, Low-Temperature Series Expansions for the Spin-1 Ising Model arXiv: High Energy Physics - Lattice. ,(1994) , 10.1088/0305-4470/27/21/014
G. Toulouse, Theory of the frustration effect in spin glasses: I SPIN GLASS THEORY AND BEYOND: AN INTRODUCTION TO THE REPLICA METHOD AND ITS APPLICATIONS. Edited by MEZARD M ET AL. Published by World Scientific Press. pp. 99- 103 ,(1987) , 10.1142/9789812799371_0009
T. Kaneyoshi, Decoupling approximation in spin-S(S≧1/2) Ising systems Physica A-statistical Mechanics and Its Applications. ,vol. 286, pp. 518- 530 ,(2000) , 10.1016/S0378-4371(00)00356-3
Rodney J. Baxter, Exactly solved models in statistical mechanics ,(1982)
Marco Pretti, A Note on Cactus Trees: Variational vs. Recursive Approach Journal of Statistical Physics. ,vol. 111, pp. 993- 1015 ,(2003) , 10.1023/A:1022862618478
E. Jurčišinová, M. Jurčišin, The Ising Model on Pure Husimi Lattices: A General Formulation and the Critical Temperatures Journal of Statistical Physics. ,vol. 147, pp. 1077- 1093 ,(2012) , 10.1007/S10955-012-0518-6
S Katsura, Random mixture of Ising systems of different spin values Journal of Physics A. ,vol. 12, pp. 2087- 2097 ,(1979) , 10.1088/0305-4470/12/11/019
G. S. Pawley, R. H. Swendsen, D. J. Wallace, K. G. Wilson, Monte Carlo renormalization-group calculations of critical behavior in the simple-cubic Ising model Physical Review B. ,vol. 29, pp. 4030- 4040 ,(1984) , 10.1103/PHYSREVB.29.4030