The Ising model on a trilayer Bethe lattice

2007 ◽  
Vol 244 (2) ◽  
pp. 759-774 ◽  
Author(s):  
Erhan Albayrak
Keyword(s):  
Ising Model ◽  
Bethe Lattice

SPIN ONE ISING MODEL WITH COMPETING INTERACTIONS ON THE BETHE LATTICE

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1031-C8-1032
Author(s):  
S. Coutinho ◽  
C. R. da Silva
Keyword(s):  
Ising Model ◽  
Bethe Lattice ◽  
Competing Interactions

Triple mixed-spin Ising model

2020 ◽  
Vol 34 (13) ◽  
pp. 2050129
Author(s):  
Erhan Albayrak
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Magnetic Fields ◽  
Exchange Interaction ◽  
Spin System ◽  
Bethe Lattice ◽  
Nearest Neighbors ◽  
Recursion Relations ◽  
Mixed Spin ◽  
Exchange Interaction Parameter

The A, B and C atoms with spin-1/2, spin-3/2 and spin-5/2 are joined together sequentially on the Bethe lattice in the form of ABCABC[Formula: see text] to simulate a molecule as a triple mixed-spin system. The spins are assumed to be interacting with only their nearest-neighbors via bilinear exchange interaction parameter in addition to crystal and external magnetic fields. The order-parameters are obtained in terms of exact recursion relations, then from the study of their thermal variations, the phase diagrams are calculated on the possible planes of our system. It is found that the model gives only second-order phase transitions in addition to the compensation temperatures.

scholarly journals Rayleigh loops in the random-field Ising model on the Bethe lattice

2002 ◽  
Vol 65 (22) ◽  
Author(s):  
Francesca Colaiori ◽  
Andrea Gabrielli ◽  
Stefano Zapperi
Keyword(s):  
Ising Model ◽  
Random Field ◽  
Bethe Lattice ◽  
Random Field Ising Model
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