Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer eBooks

Derivation of High Temperature Series Expansions: Ising Model

Sati McKenzie

Published Jan 1, 1982• 1 citation
Publisher
DOI
10.1007/978-1-4613-3347-0_10

Related papers

High-temperature series expansion for the relaxation times of the two dimensional Ising model

Bernd Dammann, Joseph D. Reger

The European Physical Journal B•Mar 1, 1995•7 citations

Extended high-temperature series expansions for the spin-s Ising model

Sati McKenzie

Extended high-temperature series expansions are presented for the spin-s Ising model on the face-centred cubic lattice. Series coefficients for the zero-field internal energy (U 0 ) and the second moment ( mu 2 ) of the correlation function are derived, for 1 / 2 <or=s<or= 9 / 2 , to order 14 in the high-temperature expansion variable K(=J/kT). For s= 1 / 2 , the fourth field derivative of the free energy is calculated to order K 14 and the magnetisation series is given to order 13 and 27 in the temperature and magnetic field variables respectively. For s=1 to 9 / 2 , the zero-field susceptibility series are derived to order K 14 .

Journal of Physics A Mathematical and General•Aug 21, 1983•3 citations

Low Temperature Series Expansions of the Ising Model.

Charles James Elliot

•Jan 1, 1970•0 citations

Constraints on high-temperature series expansions for spin correlations in the square Ising model

Joseph O. Indekeu

High-temperature series expansions have been derived for pair correlations in the square Ising model with nearest-neighbor and diagonal interactions. Enting has pointed out that constraints on the series expansions can be obtained from exact results on the disorder line of the model. The constraints are imposed on the pair correlation series and turn out to be satisfied by the published series coefficients. The coefficients thus pass a rather severe test. In addition, the constraints allow the prediction of a few extra coefficients.

Physical review. B, Condensed matter•May 1, 1988•1 citation

High Temperature Series Analysis for the Three-Dimensional Ising Model: A Review of Some Recent Work

David S. Gaunt

Springer eBooks•Jan 1, 1982•1 citation

High-temperature series expansions for lattice systems

Mathias Körner

•Jan 1, 2005•0 citations
Extended high-temperature series expansions are presented for the spin-s Ising model on the face-centred cubic lattice. Series coefficients for the zero-field internal energy (U 0 ) and the second moment ( mu 2 ) of the correlation function are derived, for 1 / 2 <or=s<or= 9 / 2 , to order 14 in the high-temperature expansion variable K(=J/kT). For s= 1 / 2 , the fourth field derivative of the free energy is calculated to order K 14 and the magnetisation series is given to order 13 and 27 in the temperature and magnetic field variables respectively. For s=1 to 9 / 2 , the zero-field susceptibility series are derived to order K 14 .
High-temperature series expansions have been derived for pair correlations in the square Ising model with nearest-neighbor and diagonal interactions. Enting has pointed out that constraints on the series expansions can be obtained from exact results on the disorder line of the model. The constraints are imposed on the pair correlation series and turn out to be satisfied by the published series coefficients. The coefficients thus pass a rather severe test. In addition, the constraints allow the prediction of a few extra coefficients.