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

I Jensen and A J Guttmann

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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 and using the new extrapolation procedure to calculate an additional 13 - 14 terms.


PACS

05.10.-a Computational methods in statistical physics and nonlinear dynamics

02.30.Lt Sequences, series, and summability

02.30.Hq Ordinary differential equations

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

02.60.Ed Interpolation; curve fitting

02.60.Gf Algorithms for functional approximation

MSC

82B27 Critical phenomena

82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)

82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.)

Subjects

Mathematical physics

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 14 (21 July 1996)

Received 19 February 1996



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