Extended linear chain approximation to the anisotropic ferromagnetic ising model

1982 ◽  
Vol 114 (1) ◽  
pp. 47-51 ◽  
Author(s):  
J. R. Faleiro Ferreira ◽  
N. P. Silva
Keyword(s):  
Ising Model ◽  
Linear Chain ◽  
Ferromagnetic Ising Model ◽  
Chain Approximation

A linear chain approximation to the ising model with competing interactions

1982 ◽  
Vol 114 (1) ◽  
pp. K63-K66 ◽  
Author(s):  
A. S. T. Pires ◽  
N. P. Silva ◽  
B. J. O. Franco
Keyword(s):  
Ising Model ◽  
Linear Chain ◽  
Competing Interactions ◽  
Chain Approximation

A Weighted Linear Chain Approximation for the Ising Model Free Energy

1992 ◽  
Vol 169 (2) ◽  
pp. 577-582
Author(s):  
J. R. Faleiro Ferreira ◽  
N. P. Silva ◽  
B. J. O. Franco
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Linear Chain ◽  
Model Free ◽  
Chain Approximation

scholarly journals Lee-Yang zeros of the antiferromagnetic Ising model

2021 ◽  
pp. 1-35
Author(s):  
FERENC BENCS ◽  
PJOTR BUYS ◽  
LORENZO GUERINI ◽  
HAN PETERS
Keyword(s):  
Ising Model ◽  
Partition Functions ◽  
Cayley Trees ◽  
Circular Arcs ◽  
Precise Characterization ◽  
Ferromagnetic Ising Model ◽  
Location Of Zeros ◽  
Antiferromagnetic Ising Model ◽  
Recursively Defined Trees ◽  
Degree Bound

Abstract We investigate the location of zeros for the partition function of the anti-ferromagnetic Ising model, focusing on the zeros lying on the unit circle. We give a precise characterization for the class of rooted Cayley trees, showing that the zeros are nowhere dense on the most interesting circular arcs. In contrast, we prove that when considering all graphs with a given degree bound, the zeros are dense in a circular sub-arc, implying that Cayley trees are in this sense not extremal. The proofs rely on describing the rational dynamical systems arising when considering ratios of partition functions on recursively defined trees.

Energy states in the linear chain Ising model

1977 ◽  
Vol 45 (2) ◽  
pp. 211-212 ◽  
Author(s):  
H. W. Graben
Keyword(s):  
Ising Model ◽  
Linear Chain ◽  
Energy States
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