Lattice statistics studies of massless phases

2007 ◽  
Author(s):  
Ian G. Enting
Keyword(s):  
Lattice Statistics

Lattice Statistics.

1984 ◽  
Author(s):  
R. B. McQuistan
Keyword(s):  
Lattice Statistics

THE EXACT SOLUTION OF SOME LATTICE STATISTICS MODELS WITH FOUR STATES PER SITE

1964 ◽  
Vol 42 (8) ◽  
pp. 1564-1572 ◽  
Author(s):  
D. D. Betts
Keyword(s):  
Partition Function ◽  
Nearest Neighbor ◽  
Quaternary Alloy ◽  
Interesting Property ◽  
Two Dimensions ◽  
Lattice Statistics ◽  
Critical Temperatures ◽  
Different Types ◽  
Interacting Systems ◽  
Statistical Mechanical

Statistical mechanical ensembles of interacting systems localized at the sites of a regular lattice and each having four possible states are considered. A set of lattice functions is introduced which permits a considerable simplification of the partition function for general nearest-neighbor interactions. The particular case of the Potts four-state ferromagnet model is solved exactly in two dimensions. The order–disorder problem for a certain quaternary alloy model is also solved exactly on a square net. The quaternary alloy model has the interesting property that it has two critical temperatures and exhibits two different types of long-range order. The partition function for the spin-3/2 Ising model on a square net is expressed in terms of graphs without odd vertices, but has not been solved exactly.

Algorithms for lattice statistics

1987 ◽  
Vol 5 (6) ◽  
pp. 265-349 ◽  
Author(s):  
D.C. Rapaport
Keyword(s):  
Lattice Statistics

Exact Finite Method of Lattice Statistics. II. Honeycomb‐Lattice Gas of Hard Molecules

1967 ◽  
Vol 47 (10) ◽  
pp. 4015-4020 ◽  
Author(s):  
L. K. Runnels ◽  
L. L. Combs ◽  
James P. Salvant
Keyword(s):  
Lattice Gas ◽  
Honeycomb Lattice ◽  
Lattice Statistics ◽  
Finite Method
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