Extrapolation procedure for low-temperature series for the square lattice spin-1 Ising model

I. Jensen; A. J. Guttmann

doi:10.1088/0305-4470/29/14/010

Extrapolation procedure for low-temperature series for the square lattice spin-1 Ising model

I. Jensen, A. J. Guttmann

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10 Citations (Scopus)

Abstract

The finite-lattice method of series expansions has been combined with a new extrapolation procedure to extend the low-temperature series for the specific heat, spontaneous magnetization, and susceptibility of the spin-1 Ising model on the square lattice. The extended series were derived by directly calculating the series to order 99 (in the variable u = exp[-J/k_BT]) and using the new extrapolation procedure to calculate an additional 13-14 terms.

Original language	English
Pages (from-to)	3817-3836
Number of pages	20
Journal	Journal of Physics A: Mathematical and General
Volume	29
Issue number	14
DOIs	https://doi.org/10.1088/0305-4470/29/14/010
Publication status	Published - 21 Jul 1996
Externally published	Yes

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abstract = "The finite-lattice method of series expansions has been combined with a new extrapolation procedure to extend the low-temperature series for the specific heat, spontaneous magnetization, and susceptibility of the spin-1 Ising model on the square lattice. The extended series were derived by directly calculating the series to order 99 (in the variable u = exp[-J/kBT]) and using the new extrapolation procedure to calculate an additional 13-14 terms.",

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AU - Guttmann, A. J.

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N2 - The finite-lattice method of series expansions has been combined with a new extrapolation procedure to extend the low-temperature series for the specific heat, spontaneous magnetization, and susceptibility of the spin-1 Ising model on the square lattice. The extended series were derived by directly calculating the series to order 99 (in the variable u = exp[-J/kBT]) and using the new extrapolation procedure to calculate an additional 13-14 terms.

AB - The finite-lattice method of series expansions has been combined with a new extrapolation procedure to extend the low-temperature series for the specific heat, spontaneous magnetization, and susceptibility of the spin-1 Ising model on the square lattice. The extended series were derived by directly calculating the series to order 99 (in the variable u = exp[-J/kBT]) and using the new extrapolation procedure to calculate an additional 13-14 terms.

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Extrapolation procedure for low-temperature series for the square lattice spin-1 Ising model

Abstract

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