Long-range anisotropic antiferromagnetic interactions in one-dimensional classical lattice-spin models

1993 ◽  
Vol 47 (22) ◽  
pp. 15068-15072 ◽  
Author(s):  
S. Romano
Keyword(s):  
Long Range ◽  
Classical Lattice ◽  
Spin Models ◽  
One Dimensional ◽  
Lattice Spin ◽  
Lattice Spin Models

NUMERICAL STUDY OF THE 3-COLOR PROBLEM ON CUBIC LATTICE BY A METHOD OF RANDOM PARTITION FUNCTIONS

1994 ◽  
Vol 08 (07) ◽  
pp. 439-443
Author(s):  
A. V. BAKAEV ◽  
V. I. KABANOVICH
Keyword(s):  
Numerical Study ◽  
Stochastic Method ◽  
Partition Functions ◽  
Random Partition ◽  
Spin Models ◽  
Cubic Lattice ◽  
Color Problem ◽  
Lattice Spin ◽  
Finite Lattices ◽  
Lattice Spin Models

We propose a stochastic method for computing partition functions of models which can be stated as lattice spin models. The method admits averaging over independent realizations, thus is well suited for simulating models on finite lattices. We apply this method to the 3-color problem on cubic map.

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