The Numerically Generated Series Expansions for Spin-Lattice Systems
G. Musiał
Computational Physics Division, Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
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The numerically generated series expansions complementary to widely used computer simulations of the Monte Carlo type, are presented. The effective algorithm for generation of graphs, which constitute the basis of series expansions for spin-lattice systems, is introduced. The use of the numerically generated series expansions to calculate the free energy for the eight-vertex model is explained and discussed in detail.
DOI: 10.12693/APhysPolA.97.901
PACS numbers: 02.60.-x, 75.10.Hk, 75.40.Cx