Series studies of the Potts model. I. The simple cubic Ising model
- 21 February 1993
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 26 (4) , 807-821
- https://doi.org/10.1088/0305-4470/26/4/010
Abstract
The finite-lattice method of series expansion is generalized to the q-state Potts model on the simple cubic lattice. It is found that the computational effort grows exponentially with the square of the number of series terms obtained, unlike two-dimensional lattices where the computational requirements grow exponentially with the number of terms. For the Ising (q=2) case the authors have extended the low-temperature series for the partition functions, magnetization and zero-field susceptibility to u26 from u20. The high-temperature series for the zero-field partition function is extended from nu 18 to nu 22. Subsequent analysis gives critical exponents in agreement with those from field theory.Keywords
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