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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Prudnikov P.V. – doctor of physical-mathematical sciences E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Medvedeva M.A. – post-graduate student E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Omsk State University The organization address: 644077, Russia, Omsk, st. Prospect Mira, 55-A Shakirzyanov F.R. – assistant E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, st. Zelenaya, 1
Title of the articleMonte-Carlo simulation of the non-equilibrium critical dynamics of the disordered systems with long-range correlated disorder
Abstract.Monte Carlo simulation of the critical behavior of the strong disordered Heisenberg model was carried out. Statical and dynamical exponents were calculated when system started from ordered initial non-equilibrium state. Ageing phenomena and fluctuation-dissipation deviation were investigated. Ageing phenomena developed in two-time dependence of correlation and response functions of «age» of the system tw and observe time t-tw. Research showed that these systems belong to different universality classes, that is, the critical exponents describing the behavior of these systems at a critical point, vary with the concentration of spins. In this paper was implemented the calculation of the autocorrelation function. Found that, in a non-equilibrium behavior of the Heisenberg model with linear defects observed effects of aging. The value obtained in the nonequilibrium regime for a disordered Heisenberg model with linear defects is universal.
Keywords.Monte-Carlo methods, disordered systems, short-time dynamics, Heisenberg models, long-range correlated defects.
For citations:Prudnikov P.V., Medvedeva M.A., Shakirzyanov F.R. Monte-Carlo simulation of the non-equilibrium critical dynamics of the disordered systems with long-range correlated disorder // Izvestiya KGASU. 2012. №3(21) P.209-215.


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