Mathematics & Physics 2016, 9(4), 463–468 УДК 537.6 Features of the Non-equilibrium Critical Dynamics in 3D Pure and Diluted Ising-like Ferromagnets Vyacheslav V. Krizhanovskiy∗ Peter N.Malyarenko† Pavel V. Prudnikov‡ Vladimir V. Prudnikov§ Department of Theoretical Physics Dostoevsky Omsk State University Mira, 55a, Omsk, 644077 Russia Received 20.08.2016, received in revised form 10.10.2016, accepted 12.11.2016 The non-equilibrium critical behaviour of the three-dimensional pure and site-diluted spin systems described by Ising model is studied with different spin concentrations for evolution from various initial magnetic states. <...> The universal scaling functions are determined for the magnetization and autocorrelation function. <...> The aging and superaging effects are revealed in autocorrelation function behaviour for diluted systems with evolution from low-temperature initial states. <...> Keywords: non-equilibrium critical behaviour, Ising model, initial state, structure defects, correlation function. <...> Critical dynamics provides a simple instance of slow collective evolution. <...> At a time t≪trel, the effects of aging manifest themselves, namely, at the two-time correlation and response functions on the waiting time tw and observation time ∗FehtunKrizh@gmail.com †petr.malyarenko@yandex.ru ‡prudnikp@univer.omsk.su §prudnikv@univer.omsk.su ⃝ Siberian Federal University. <...> The influence of disorder is particularly important near critical point Tc where the behaviour of a system is characterized by an anomalous large relaxation t−tw. <...> An effect of initial states influence on the non-equilibrium critical behaviour is displayed within the t, tw ≪trel time range [1, 2]. <...> Vyacheslav V. Krizhanovskiy, Peter N. Malyarenko, Pavel V. Prudnikov, Vladimir V. Prudnikov Features . . . 1. <...> Characteristics of non-equilibrium critical behaviour and results of simulations In investigations of influence of the initial states on characteristics of non-equilibrium critical behaviour, there are differed the high-temperature initial state, when a system has been prepared at a temperature T0 ≫ Tc with the initial magnetization m0 = 0 before it was quenched at Tc, and the low-temperature magnetized initial state with preparation at T0 < Tc with m0 ̸= 0. <...> At the waiting time tw, we have begun to measure two-time quantities such as response and correlation functions. <...> We have considered the ferromagnetic Ising model site-diluted by nonmagnetic impurity atoms. <...> The random occupation numbers <...>