Ising Model and Self-Avoiding Walks on Hypercubical Lattices and "High-Density" Expansions
- 6 January 1964
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 133 (1A), A224-A239
- https://doi.org/10.1103/PhysRev.133.A224
Abstract
The high-temperature expansions of the partition function and susceptibility of the Ising model and the number of self-avoiding walks and polygons are obtained exactly up to the eleventh order (in "bonds" or "steps") for the general -dimensional simple hypercubical lattices. Exact expansions of and in power of where , and where , for are derived up to the fifth order. The zero-order terms are the Bragg-Williams and Bethe approximations, respectively. The Ising critical point is found to have the expansion while for self-avoiding walks
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