The Low-Temperature Expansion of the Wulff Crystal in the 3D Ising Model

2001 ◽  
Vol 222 (1) ◽  
pp. 147-179 ◽  
Author(s):  
Raphaël Cerf ◽  
Richard Kenyon
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Expansion ◽  
3D Ising Model

Low-temperature expansion in the d = 4 Ising model

1992 ◽  
Vol 374 (3) ◽  
pp. 647-666 ◽  
Author(s):  
C. Vohwinkel ◽  
P. Weisz
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Expansion

Comment on ‘‘Low-temperature expansion for the Ising model’’

1993 ◽  
Vol 70 (5) ◽  
pp. 698-698 ◽  
Author(s):  
A. J. Guttmann ◽  
I. G. Enting
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Expansion

scholarly journals Low temperature expansion of the gonihedric Ising model

1998 ◽  
Vol 525 (3) ◽  
pp. 549-570 ◽  
Author(s):  
R. Pietig ◽  
F.J. Wegner
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Expansion

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.

scholarly journals Low temperature expansion for the Ising model

1992 ◽  
Vol 69 (13) ◽  
pp. 1841-1844 ◽  
Author(s):  
Gyan Bhanot ◽  
Michael Creutz ◽  
Jan Lacki
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Expansion
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