Crossover from a Fractal Lattice to an Euclidean Lattice for the Thermodynamic Properties of a Four-Spin Interaction Ising Model  

作　　者：LI Jianhua QIN Yong 

机构地区：[1]Department of Physics,Education College of Ningxia and Teacher Academy of Yinchuan,Yinchuan 750002 [2]CCAST(World Laboratory),P.O.Box 8730,Beijing 100080 [3]Department of Physics,Beijing Normal University,Beijing 100875

出　　处：《Chinese Physics Letters》1995年第6期370-373,共4页中国物理快报（英文版）

基　　金：Supported in part by the National Basic Research Project"Nonlinear Science";the Research Foundation of Beijing Normal University for Youth.

摘　　要：We study how thermodynamic properties of the four-spin interaction Ising model on a family of Sierpinski carpets fractals cross over to that of the Ising model on square lattice with four-spin interaction in half of the square faces.The exact free energy f_(s) for the square model and f_(j) for the fractals are obtained in a closed form and found to be analytic in temperature.The free energy varies smoothly with the geometrical parameter b(which labels each member of the fractal family)and for large b the difference between f_(s) and f_(j) is asymptotically proportional to 1/b^(2).

关 键 词：temperature ISING smoothly 

分 类 号：O17[理学—数学]