New algorithm of the high-temperature expansion for the Ising model in three dimensions

Abstract

New algorithm of the finite lattice method is presented to generate the high-temperature expansion series of the Ising model. It enables us to obtain much longer series in three dimensions when compared not only to the previous algorithm of the finite lattice method but also to the standard graphical method. It is applied to extend the high-temperature series of the simple cubic Ising model from beta^{26} to beta^{46} for the free energy and from beta^{25} to beta^{32} for the magnetic susceptibility.

3 pages, Lattice2002(spin)

References in corpus (2)

• 25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple cubic lattice
• Critical universality and hyperscaling revisited for Ising models of general spin using extended high-temperature series

Cited by in corpus (4)

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• Non-equilibrium phase transition in an exactly solvable driven Ising model with friction
• Magnetic susceptibility of quasi-one-dimensional Ising superantiferromagnets FeTAC and MCl_2*2NC_5H_5 (M=Co, Fe): Approximations with L x oo and L x L x oo chain clusters