scholarly journals Non-equilibrium critical behavior of the three-dimensional anisotropic Heisenberg model: dynamical susceptibility and fluctuation-dissipation ratio

2020 ◽  
Vol 25 (3) ◽  
pp. 23-32
Author(s):  
Vladimir V. Prudnikov ◽  
Pavel V. Prudnikov ◽  
Anastasiya S. Lyakh

Simulation of the non-equilibrium critical behavior of the three-dimensional anisotropic Heisenberg model is carried out with realization of Glauber dynamics and the dynamical susceptibility and the fluctuation-dissipation ratio are calculated with evolution of system from a high-temperature initial state.

2012 ◽  
Vol 190 ◽  
pp. 39-42
Author(s):  
M. Medvedeva ◽  
Pavel V. Prudnikov

The dynamic critical behavior of the three-dimensional Heisenberg model with longrangecorrelated disorder was studied by using short-time Monte Carlo simulations at criticality.The static and dynamic critical exponents are determined. The simulation was performed fromordered initial state. The obtained values of the exponents are in a good agreement with resultsof the field-theoretic description of the critical behavior of this model in the two-loopapproximation.


2019 ◽  
Vol 1163 ◽  
pp. 012020 ◽  
Author(s):  
E A Pospelov ◽  
V V Prudnikov ◽  
P V Prudnikov ◽  
A S Lyakh

2012 ◽  
Vol 190 ◽  
pp. 31-34
Author(s):  
Dmitry N. Kulikov ◽  
Pavel V. Prudnikov

The simultaneous effect of non-equilibrium initial states and correlation betweendefects of the structure on the evolution of anisotropic disordered systems at the critical pointwas analyzed. The field theory description of the non-equilibrium critical behavior of three-dimensional disordered systems with the long-range correlated defects was given and the dy-namical critical exponent of the short-time evolution was calculated in the two-loop approxima-tion without the use of the "-expansion. The values of the dynamical critical exponent obtainedby using various methods for summing asymptotic series were compared with the results ofthe computer simulation of the non-equilibrium critical behavior of the three-dimensional dis-ordered Ising model in the short-time regime.


2018 ◽  
Vol 185 ◽  
pp. 11009
Author(s):  
Pavel V. Prudnikov ◽  
Vladimir V. Prudnikov ◽  
Alena Yu. Danilova ◽  
Vadim O. Borzilov ◽  
Georgy G. Baksheev

The Monte Carlo simulation of the critical behavior of multilayer structures based on anisotropic Heisenberg model is performed. The influence of the uniaxial anisotropy on the critical behavior of the thin Heisenberg-like film is described. The investigation of non-equilibrium critical behavior of multilayer structure which correspond to the nanoscale superlattice Co/Cu demonstrates that the aging effects can be observed in a wider temperature range than for bulk magnetic systems.


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