Andrey N. Vakilov's research while affiliated with Omsk State University and other places

Publications (5)

Article
We used a Monte Carlo simulation of the structurally disordered three dimensional Ising model. For the systems with spin concentrations p = 0.95, 0.8, 0.6 and 0.5 we calculated the correlation-length critical exponent ν by finite-size scaling. Extrapolations to the thermodynamic limit yield ν(0.95) = 0.705(5), ν(0.8) = 0.711(6), ν(0.6) = 0.736(6) a...
Article
We used a Monte Carlo simulation of the structurally disordered three dimensional Ising model. For the systems with spin concentrations p = 0.95 ,0.8, 0.6 and 0.5 we calculated the correlation-length critical exponent ν by finite-size scaling. Extrapolations to the thermodynamic limit yield ν(0.95) = 0.705(5) ,ν(0.8) = 0.711(6), ν(0.6) = 0.736(6) a...
Article
Full-text available
We investigate the non-equilibrium critical evolution of statistical systems and describe of its some features, such as aging and violation of the fluctuation-dissipation theorem. We consider some theoretical results of computations for universal quantities that have been obtained in recent years, such as the exponents determining the scaling behav...
Article
It is considered the non-equilibrium critical evolution of three-dimensional pure and site-diluted spin systems described by Ising model from high-temperature initial state with displaying some features, such as ageing and violation of the fluctuation–dissipation theorem. The Monte Carlo simulation results obtained for systems with the spin concent...
Article
The parallel-tempering method has been applied to numerically study the thermo- dynamic behavior of a three-dimensional disordered antiferromagnetic Ising model with random fields at spin concentrations corresponding to regions of both weak and strong structural disorder. An analysis of the low-temperature behavior of the model convincingly shows t...

Citations

... The evolution of systems with slow dynamics depends on its initial state for times t t rel (T s ), where t rel (T s ) is a relaxation time at temperature T s . Various initial states exert noticeable influence [10,11,12]. In this connection, the non-equilibrium behavior of the system depends on whether it evolves from a high-temperature T 0 > T s or a low temperature T 0 < T s initial state. ...