Low-Temperature Critical Exponents from High-Temperature Series: The Ising Model

1970 ◽  
Vol 1 (3) ◽  
pp. 1184-1210 ◽  
Author(s):  
David S. Gaunt ◽  
George A. Baker
Keyword(s):  
High Temperature ◽  
Ising Model ◽  
Low Temperature ◽  
Critical Exponents ◽  
Temperature Series

High and Low Temperature Series Estimates for the Critical Temperature of the 3D Ising Model

1998 ◽  
Vol 09 (01) ◽  
pp. 195-209 ◽  
Author(s):  
Zaher Salman ◽  
Joan Adler
Keyword(s):  
High Temperature ◽  
Ising Model ◽  
Low Temperature ◽  
Three Dimensional ◽  
Temperature Series ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Error Bars ◽  
Temperature Side ◽  
3D Ising Model

We have analyzed low and high temperature series expansions for the three-dimensional Ising model on the simple cubic lattice. Our analysis of Butera and Comi's new 21-term high temperature series yields [Formula: see text] and from the 32-term low temperature series of Vohwinkel we find Kc=0.22167±0.00002, consistent with the high temperature series but with larger error bars. We discuss the reasons for the larger error bars on the low temperature side and compare these values with estimates from other series analyses and from simulations.

Low-temperature series for the Ising model

1970 ◽  
Vol 3 (8) ◽  
pp. 1652-1660 ◽  
Author(s):  
C Domb ◽  
A J Guttmann
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Series
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