disordered spin systems
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2020 ◽  
Vol 25 (1) ◽  
pp. 7-12
Author(s):  
Albert Babaevich Babaev ◽  
Akai Kurbanovich Murtazaev

Using the Monte Carlo method, we study the distribution of thermodynamic parameters in a strongly disordered Potts model with the number of spin states q = 4. For this model, relative dispersions of magnetization Rm and susceptibility R are calculated. It is shown that in this model, the relative dispersions of Rm and R lead to nonzero values, which in-dicates poor self-averaging for magnetization and susceptibility in a strongly diluted mod-el. Averaging the thermodynamic parameters in a strongly diluted regime over an ensem-ble of disordered spin systems with different disorder implementations requires a signifi-cant increase in the number of disordered impurity configurations. Computer simulation was performed for spin systems with periodic boundary conditions at a spin concentration of p = 0.65. Systems with linear dimensions L  L  L= N, L = 60 were investigated.



2017 ◽  
Vol 95 (4) ◽  
Author(s):  
J. Ye ◽  
R. Gheissari ◽  
J. Machta ◽  
C. M. Newman ◽  
D. L. Stein






2009 ◽  
Vol 35 (3) ◽  
pp. 411-420 ◽  
Author(s):  
Fridrikh S. Dzheparov ◽  
A. D. Gulko ◽  
O. N. Ermakov ◽  
A. A. Lyubarev ◽  
S. V. Stepanov ◽  
...  






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