Exact solutions for Ising-model even-number correlations on planar lattices

1988 ◽  
Vol 37 (10) ◽  
pp. 5193-5204 ◽  
Author(s):  
J. H. Barry ◽  
M. Khatun ◽  
T. Tanaka
Keyword(s):  
Ising Model ◽  
Exact Solutions ◽  
Planar Lattices

Exact solutions for Ising-model odd-number correlations on planar lattices

1991 ◽  
Vol 44 (6) ◽  
pp. 2595-2608 ◽  
Author(s):  
J. H. Barry ◽  
T. Tanaka ◽  
M. Khatun ◽  
C. H. Múnera
Keyword(s):  
Ising Model ◽  
Exact Solutions ◽  
Planar Lattices

Kinetic Ising model: Some exact solutions

1982 ◽  
Vol 88 (7) ◽  
pp. 375-378 ◽  
Author(s):  
E. Bosco ◽  
S.K. Rangarajan
Keyword(s):  
Ising Model ◽  
Exact Solutions ◽  
Kinetic Ising Model

scholarly journals Determination of paramagnetic and ferromagnetic phases of an Ising model on a third-order Cayley tree

2021 ◽  
Vol 24 (1) ◽  
pp. 13001
Author(s):  
H. Akιn
Keyword(s):  
Ising Model ◽  
Exact Solutions ◽  
Cayley Tree ◽  
Numerical Results ◽  
Coupling Constants ◽  
Partition Functions ◽  
Third Order ◽  
Recurrence Equations ◽  
Appl Math

In this present paper, the recurrence equations of an Ising model with three coupling constants on a third-order Cayley tree are obtained. Paramagnetic and ferromagnetic phases associated with the Ising model are characterized. Types of phases and partition functions corresponding to the model are rigorously studied. Exact solutions of the mentioned model are compared with the numerical results given in Ganikhodjaev et al. [J. Concr. Appl. Math., 2011, 9, No. 1, 26-34].

Exact Solution of 1D Ising Model on Linear Chain with Arbitrary Spin

2016 ◽  
Vol 845 ◽  
pp. 93-96 ◽  
Author(s):  
Alexey I. Proshkin ◽  
Felix Kassan-Ogly
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Ising Model ◽  
Exact Solutions ◽  
Applied Magnetic Field ◽  
Linear Chain ◽  
Nearest Neighbors ◽  
Arbitrary Spin

We investigated the Ising model on a linear chain with arbitrary spin including interactions between nearest and next-nearest neighbors in an applied magnetic field. A series of exact solutions and formulas for frustration fields, magnetizations and entropies at these fields at T→0 are found.

Sign in / Sign up

Export Citation Format

Share Document