The Ising system with an interaction of finite range on the Cayley tree
作者： T. Morita
DOI: 10.1016/0378-4371(76)90045-5
关键词:
摘要: Abstract It is shown that the thermodynamic properties and distribution functions of Ising systems on Cayley tree are generally obtained in terms solution a recurrence formula, when interaction finite range. For Bethe lattice where boundary effects ignored, given nonlinear eigenvalue problem. further certain approximation cluster variation method exact for this system equations determining parameters occurring equivalent to
harvard.edu
elsevier.com
sci-hub.se 参考文章(13)
Michio Kurata, Ryoichi Kikuchi, Tatsuro Watari, A Theory of Cooperative Phenomena. III. Detailed Discussions of the Cluster Variation Method The Journal of Chemical Physics. ,vol. 21, pp. 434- 448 ,(1953) , 10.1063/1.1698926
C. Domb, On the theory of cooperative phenomena in crystals Advances in Physics. ,vol. 9, pp. 149- 244 ,(1960) , 10.1080/00018736000101199
T. Tsuchiya, N. Saito, The Ising Model on the Cayley Trees Progress of Theoretical Physics. ,vol. 53, pp. 1337- 1347 ,(1975) , 10.1143/PTP.53.1337
E. Müller-Hartmann, J. Zittartz, New Type of Phase Transition Physical Review Letters. ,vol. 33, pp. 893- 897 ,(1974) , 10.1103/PHYSREVLETT.33.893
S. Katsura, M. Takizawa, Bethe Lattice and the Bethe Approximation Progress of Theoretical Physics. ,vol. 51, pp. 82- 98 ,(1974) , 10.1143/PTP.51.82
T. Morita, T. Horiguchi, Susceptibility and Correlation Function of the Ising Model on the Cayley Tree Progress of Theoretical Physics. ,vol. 54, pp. 982- 998 ,(1975) , 10.1143/PTP.54.982
T. Horiguchi, T. Morita, Isothermal and Frequency Dependent Perpendicular Susceptibilities of the Ising Model on the Cayley Tree Canadian Journal of Physics. ,vol. 53, pp. 2375- 2386 ,(1975) , 10.1139/P75-288
T. Morita, Y. Fukui, Classical one-dimensional gas of hard rods with an interaction of finite range Physica D: Nonlinear Phenomena. ,vol. 76, pp. 616- 632 ,(1974) , 10.1016/0031-8914(74)90162-1
T. P. Eggarter, Cayley trees, the Ising problem, and the thermodynamic limit Physical Review B. ,vol. 9, pp. 2989- 2992 ,(1974) , 10.1103/PHYSREVB.9.2989
S Katsura, Fluid-solid transitions of the lattice gases Journal of Physics A. ,vol. 8, pp. 252- 261 ,(1975) , 10.1088/0305-4470/8/2/016