About the authors
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 article | Monte-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. |