Ising model on the Cayley tree of third order with inhomogeneous interactions

2018 ◽  
Author(s):  
Nasir Ganikhodjaev ◽  
Huda Husna Binti Ibrahim
Keyword(s):  
Ising Model ◽  
Cayley Tree ◽  
Third Order

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].

Ground states for the ising model with an external field on the Cayley tree

2018 ◽  
Vol 2018 (3) ◽  
pp. 147-155
Author(s):  
M.M. Rakhmatullaev ◽  
M.A. Rasulova
Keyword(s):  
Ising Model ◽  
External Field ◽  
Cayley Tree ◽  
Ground States

Ising model with competing interactions on a Cayley tree

1983 ◽  
Vol 33 (2) ◽  
pp. 419-436 ◽  
Author(s):  
Sakari Inawashiro ◽  
Colin J. Thompson ◽  
Goshi Honda
Keyword(s):  
Ising Model ◽  
Cayley Tree ◽  
Competing Interactions

Behavior of the effective fields for a regular ising model on the Cayley tree

1984 ◽  
Vol 35 (3-4) ◽  
pp. 355-374 ◽  
Author(s):  
T. Horiguchi ◽  
T. Morita
Keyword(s):  
Ising Model ◽  
Cayley Tree

scholarly journals Glassy behaviour in the ferromagnetic Ising model on a Cayley tree

1996 ◽  
Vol 29 (18) ◽  
pp. 5773-5804 ◽  
Author(s):  
R Mélin ◽  
J C Anglès d'Auriac ◽  
P Chandra ◽  
B Douçot
Keyword(s):  
Ising Model ◽  
Cayley Tree ◽  
Ferromagnetic Ising Model
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