scholarly journals Exact solution for an Ising model on the Cayley tree of order 5

2016 ◽  
Author(s):  
Hakim Jamil ◽  
Chin Hee Pah
Keyword(s):  
Exact Solution ◽  
Ising Model ◽  
Cayley Tree

scholarly journals Exact solution of an Ising model with competing interactions on a Cayley tree

2003 ◽  
Vol 36 (15) ◽  
pp. 4283-4289 ◽  
Author(s):  
N N Ganikhodjaev ◽  
C H Pah ◽  
M R B Wahiddin
Keyword(s):  
Exact Solution ◽  
Ising Model ◽  
Cayley Tree ◽  
Competing Interactions

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

New model of dielectric strength of Debye relaxation in monohydroxy alcohols

2019 ◽  
Vol 33 (26) ◽  
pp. 1950313
Author(s):  
Li-Na Wang ◽  
Xing-Yu Zhao ◽  
Yi-Neng Huang
Keyword(s):  
Experimental Data ◽  
Exact Solution ◽  
High Temperature ◽  
Ising Model ◽  
Dielectric Spectroscopy ◽  
Dielectric Strength ◽  
Experimental Results ◽  
Debye Relaxation ◽  
New Model ◽  
Model Predictions

The Debye relaxation of dielectric spectroscopy exists extensively in monohydroxy alcohols, and the existing theory of the dielectric strength is obviously inconsistent with the experimental results. In this paper, we propose an Ising model of infinite free-rotating pseudospin chains and get the exact solution of the dielectric strength versus temperature. The model predictions are qualitatively consistent with the experimental results, especially the crossover from the low to the high-temperature Curie–Weiss law. The quantitative comparisons indicate that the model predictions can agree well with the experimental data below 250 K.

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