| Original Articles |
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Crossover from a Fractal Lattice to an Euclidean Lattice for the
Thermodynamic Properties of a Four-Spin Interaction Ising Model |
| LI Jianhua;QIN Yong* |
| Department of Physics, Education College of Ningxia and Teacher Academy of Yinchuan, Yinchuan 750002
*CCAST (World Laboratory) P. O. Box 8730, Beijing 100080
Department of Physics, Beijing Normal University, Beijing 100875
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| Cite this article: |
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LI Jianhua, QIN Yong 1995 Chin. Phys. Lett. 12 370-373 |
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Abstract 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 fs for the square model and ff 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 fs and ff is asymptotically proportional to l/b2.
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| Keywords:
64.60.Ak
75.10.Hk
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Published: 01 June 1995
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