Unbiased Estimation of Corrections to Scaling by Partial Differential Approximants

Chen, Jing-Huei; Fisher, Michael E.; Nickel, Bernie G.

doi:10.1103/PhysRevLett.48.630

Unbiased Estimation of Corrections to Scaling by Partial Differential Approximants

Jing-Huei Chen
(
- Cornell U., LNS
)
,
Michael E. Fisher
(
- Cornell U., LNS
)
,
Bernie G. Nickel
(
- Guelph U. and
- Harvard U.
)

Mar 1, 1982

4 pages

Published in:

Phys.Rev.Lett. 48 (1982) 630-634

DOI:

10.1103/PhysRevLett.48.630

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Abstract: (APS)

High-temperature series for two bcc lattice models which interpolate between the Gaussian (or free-field) model and the S=12 Ising model are analyzed by partial differential approximants. Series to order 21 in both x∝1T and the interpolation parameter, y, yield unbiased estimates for the correction-to-scaling exponent, θ=0.54±5, and the susceptibility exponent, γ=1.2385±15. The results are universal and agree tolerably with field-theoretic estimates and well with biased, one-variable analyses of general spin Ising models.

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Figures(0)

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