Lower-bound approximation to the free energy of the three-dimensional Ising model

1977 ◽  
Vol 16 (5) ◽  
pp. 2163-2167 ◽  
Author(s):  
S. L. Katz ◽  
J. D. Gunton
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Lower Bound ◽  
Three Dimensional

Extended high temperature low field expansions for the Ising model

1979 ◽  
Vol 57 (8) ◽  
pp. 1239-1245 ◽  
Author(s):  
S. McKenzie
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Ising Model ◽  
Three Dimensional ◽  
Low Field ◽  
Hypercubic Lattice

High temperature low field expansions are derived from the free energy of the Ising model for several two- and three-dimensional lattices. These represent a considerable advance on earlier work. Expansions for the four-dimensional hypercubic lattice are also presented.

scholarly journals On free energy of three-dimensional ising model at criticality

1997 ◽  
Vol 1 (3) ◽  
pp. 362-365 ◽  
Author(s):  
A. I. Sokolov ◽  
V. A. Ul'kov ◽  
E. V. Orlov
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Three Dimensional

Lower bound approximation to the free energy of an Ising model on a simple cubic lattice

1981 ◽  
Vol 59 (10) ◽  
pp. 1291-1295 ◽  
Author(s):  
Chin-Kun Hu ◽  
Wen-Den Chen ◽  
Yu-Ming Shih ◽  
Dong-Chung Jou ◽  
C. K. Pan ◽  
...  
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Lower Bound ◽  
Variational Method ◽  
Critical Point ◽  
Zero Field ◽  
Free Energies ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice

We apply a modified Kadanoff's variational method to calculate the lower bound zero-field free energies and their derivatives for an Ising model on the simple cubic lattice. We find a critical point at Kc = 0.2393769 with precision ±10−7.

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