# Pavel V. PrudnikovOmsk State University · Department of Theoretical Physics

Pavel V. Prudnikov

Prof. Dr.

## About

126

Publications

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Introduction

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October 2004 - March 2005

September 2002 - present

## Publications

Publications (126)

The Monte Carlo simulation of magnetic properties of artificial multilayer nanostructures in which ultrathin ferromagnetic films divided by layer of non-magnetic metal and coupled antiferromagnetically is realized. The anisotropic Heisenberg model is applied for description of magnetic properties. Dependence of hysteresis phenomena on thickness of...

Monte Carlo study of non-equilibrium critical behavior of three-dimensional Heisenberg model in isotropic case and with anisotropy of easy axis type is carried out. Relaxational Glauber-like dynamics of these models with evolution from high-temperature initial state is investigated. Realization of aging is demonstrated for two-time dependence of th...

The work is devoted to investigation of non-equilibrium vortex annealing of structural disorder in the two-dimensional site-diluted XY-model. The system incorporates mobile and fixed structure defects, with concentrations c ( a ) and c ( q ) correspondingly. Limiting cases c ( a ) ≃ c ( q ) and c ( a ) ≪ c ( q ) were considered. Dynamic clusterizat...

A Monte Carlo simulation of the non-equilibrium behavior of multilayer magnetic structures Co/Cu(100)/Co and Pt/Co/Cu(100)/Co/Pt characterizing different types of magnetic anisotropy is realized. Simulation of transport properties gives possibility to reveal a nontrivial aging effects in the magnetoresistance of these structures and influence of in...

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.

Simulation of thin granular films and twolayer structures is carried out by Monte Carlo methods. Temperature dependence of equilibrium macroscopic characteristics of granular films such as magnetization, energy, heat capacity, and magnetic susceptibility are calcu-lated for different linear sizes of granules. Influence of exchange integral values f...

The Monte Carlo study of spin-valve magnetic structures with giant magnetoresistance effects has been performed with the application of the Heisenberg anisotropic model to the description of the magnetic properties of ultrathin ferromagnetic films. The dependences of the magnetic characteristics on the temperature and external magnetic field have b...

The Monte Carlo simulation of magnetic properties of spin-valve sandwich structures, where ultrathin ferromagnetic films divided by layer of nonmagnetic metal, and antiferromagnetic, are coupled antiferromagnetically, is realized. The anisotropic Heisenberg model is applied for description of magnetic properties. Dependence of hysteresis phenomena...

Influence of different initial states on time behavior of magnetoresistance is studied for nanostructures with magnetization out of films plane. It is shown that two-time dependence of the magnetoresistance reaches plateau in long-time regime with values, which depend on initial state, thickness of ferromagnetic films and temperature.

The thermodynamic characteristics and magnetic properties of monoaxial chiral helimagnet have been investigated by using a combination of ab initio calculations and classical Monte Carlo simulations. Ab initio calculations make it possible to calculate the values of magnetic moments and exchange coupling parameters for crystal structure CrNb3S6 whi...

In this work, we investigate the critical behavior of the three dimensional Heisenberg model by parallel Wang-Landau algorithm developed with using of the OpenMP technology.

The study of critical properties and size transition in a diluted layered XY-model was carried out for the first time. The dimensional dependence of the temperature T BKT ( p, N ) of the Berezinskii-Kosterlitz-Thouless phase transition on the system thickness N is obtained for a diluted layered XY-model for a wide range of spin concentrations p. Th...

The numerical Monte Carlo study of influence of diffuse interfaces on the magnetoresistance in trilayer magnetic structures Co/Cu(100)/Co and Pt/Co/Cu(100)/Co/Pt is carried out. The calculations of temperature dependence of the CPP magnetoresistance are realized for structures with thickness of cobalt films N=11 monolayers for cases with sharp and...

The study of the effects of aging in the non-equilibrium critical relaxation of a two-dimensional XY-model with a non-equilibrium vortex annealing of structural disorder has been carried out. Two-time dynamic dependencies of the spin-spin and defect-defect autocorrelation functions C SS ( t,t w ) and C DD ( t,t w ) are obtained for the entire Berez...

Monte Carlo calculation of magnetoresistance in Co/Cu(100)/Co nanostructure with magnetization in plane is carried out. • Calculation of magnetoresistance in model Pt/Co/Cu(100)/Co/Pt nanostructure with magnetization out plane is realized. • Case of anisotropy out plane in Pt/Co/Cu(100)/Co/Pt leads to considerable increase of magnetoresistance for...

A Monte Carlo simulation of the non-equilibrium behavior of multilayer magnetic nanostructure Co/Cu(100)/Co consisting of alternating magnetic and nonmagnetic nanolayers is carried out. Analysis of calculated two-time autocorrelation function for structure relaxing from both high-temperature and low-temperature initial states reveals aging characte...

We performed a simulations of magnetic properties for the multilayer structures Fe/Cr/Fe and Co/Cu/Co using the Monte Carlo methods and the anisotropic Heisenberg model. The calculation of magnetoresistance coefficient is implemented in case of CPP geometry for the different thicknesses of the ferromagnetic films. The calculated dependence of the m...

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisenberg model with long-range correlated disorder at criticality, in the case corresponding to linear defects. Former was carried out both from high-temperature and low-temperature initial states. The static and dynamic critical exponents are determined...

The nonequilibrium behavior of the magnetic superstructures consisting of alternating magnetic and nonmagnetic nanolayers is numerically simulated by Monte Carlo methods. An analysis of the calculated two-time dependence of an autocorrelation function during the evolution from a high-temperature initial state has revealed aging effects, which are c...

The effect of various initial magnetizations m0 and structural defects the nonequilibrium critical behavior of the three-dimensional Ising model is numerically studied. Based on an analysis of the time dependence of the magnetization and the two-time dependence of the autocorrelation function and dynamic susceptibility, the significant effect of in...

The non-equilibrium critical behaviour of the three-dimensional pure and site-diluted spin systems described by Ising model is studied for different spin concentrations with evolution from various initial magnetic states. The universal scaling functions are determined for the magnetization.

A Monte Carlo study of the specific features of the nonequilibrium critical behavior has been performed for the two-dimensional “pure” and structurally disordered Ising models in the course of their evolution from the low-temperature initial state at spin concentrations p = 1.0, 0.9, and 0.8. It is shown for the first time that the pinning of domai...

Computer simulation of bilayer structures with dipolar interlayer interaction was performed. Equilibrium properties were considered for systems with various thicknesses of magnetic layers and distances between the layers. Non-equilibrium behavior was simulated for high- and low-temperature initial states.

A Monte Carlo numerical simulation of the specific features of nonequilibrium critical behavior is carried out for the two-dimensional structurally disordered XY model during its evolution from a low-temperature initial state. On the basis of the analysis of the two-time dependence of autocorrelation functions and dynamic susceptibility for systems...

A Monte Carlo simulation of magnetic properties for structures Fe/Cr/Fe and Co/Cu/Co, constructed from two ferromagnetic films divided by nonmagnetic film are carried out. The calculation of the magnetoresistance is carried out in case of CPP and CIP geometry for different thicknesses of the ferromagnetic films with the use of the anisotropic Heise...

A Monte Carlo simulation of the non-equilibrium behavior of multilayer magnetic structures consisting of alternating magnetic and nonmagnetic nanolayers is realized. The calculated two-time autocorrelation function for the structure during its evolution starting from high-temperature initial state is analyzed. The analysis reveals aging effects cha...

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 nanos...

In this work we study the non-equilibrium properties of Heisenberg ferromagnetic films using Monte Carlo simulations by short-time dynamic method. By exploring the short-time scaling dynamics, we have found thickness dependency of critical exponents z, θ ′ and β/v for ferromagnetic thin film. For calculating the critical exponents of ferromagnetic...

The effect of different initial values m0 of magnetization and structural defects on the nonequilibrium critical behavior of the 3D Ising model have been analyzed numerically using the Monte Carlo method. Analysis of the two-time dependences of the autocorrelation function and dynamic susceptibility has revealed a substantial influence of the initi...

The Monte Carlo simulation of the critical behavior of multilayer structures based on anisotropic Heisenberg model is performed. The analysis reveals aging effects characterized by a slowing down of the relaxation and correlation characteristics in the system with the waiting time. The dependence of aging characteristics on thickness of ferromagnet...

The Monte Carlo simulation of the critical behavior of multilayer structures based on anisotropic Heisenberg mode are presented. The non-equilibrium critical relaxation of structures consisting of two magnetic layers with dipolar interlayer interaction is studied. The investigation of non-eqilibrium critical behavior of multilayer structure wich co...

The Monte Carlo simulation of the critical behavior of low-dimensional magnets and multilayer structures based on anisotropic Heisenberg mode are presented. The aging and clustering effects are revealed in the critical relaxation of 2d XY-model from non-equilibrium initial states. The investigation of non-equilibrium critical behavior of multilayer...

Monte Carlo simulation was conducted for bilayer magnetic structures with dipolar interlayer interaction in an external magnetic field. Specific hysteresis loops were obtained for the system. Non-equilibrium relaxation of the autocorrelation function was considered with the high- and low-temperature initial states.

For the first time, we present a field theory description of the phase transition in an amorphous magnet with the effects of both random anisotropy and structural defects in the two-loop approximation with the fixed dimension d = 3. For this multivertex model, we determine the system of fixed points of the renormalization group equations and calcul...

We present the method and results of a renormalization group description of nonequilibrium critical relaxation of model A with evolution from an initial high-temperature state. We calculate the two-time dependence of the correlation function and response function and find a violation of the fluctuationdissipation theorem in the nonequilibrium criti...

Monte Carlo simulations of magnetic properties for structures, which are constructed from two ferromagnetic films divided by nonmagnetic film, are carried out using the anisotropic Heisenberg model. The value for exchange integral for Fe(100)/Cr system was calculated using PAW PBE approximation. The calculation of the magnetoresistance coefficient...

The review is devoted to description of peculiarities of the nonequilibrium critical behavior of macroscopic systems far from equilibrium state, and the presentation of the modern methods of description for some model statistical systems such as the three-dimensional Ising model and the two-dimensional XY-model. The processes of critical relaxation...

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 effe...

In this paper we study the non-equilibrium properties of Ising ferromagnetic films using Monte Carlo simulations by short-time dynamic method. We have found thickness dependency of critical exponents z, and . Ageing effects were observed in non-equilibrium critical behavior. Former was carried out both from high-temperature and low-temperature init...

A numerical Monte Carlo study of the nonequilibrium behavior of multilayer magnetic superstructures consisting of alternating magnetic and nonmagnetic nanolayers is performed. The calculated two-time autocorrelation function and the staggered magnetization of the structure at its evolution starting from various initial states are analyzed. The anal...

We investigate non-equilibrium properties of the frustrated Heisenberg antiferromagnets on the triangular lattice. Nonequilibrium critical relaxation of frustrated Heisenberg antiferromagnets shows a sharp dynamic topological Berezinskii-Kosterlitz-Thouless transition at the same temperature $T_{\rm BKT}=0.282 J$ as for static properties, due to th...

A Monte Carlo study of trilayer and spin-valve magnetic structures with giant magnetoresistance effects is carried out. The anisotropic Heisenberg model is used for description of magnetic properties of ultrathin ferromagnetic films forming these structures. The temperature and magnetic field dependences of magnetic characteristics are considered f...

We have performed a numerical investigation of the influence of disorder on the dynamical non-equilibrium evolution of a 3D site-diluted Ising model from a low-temperature initial state with magnetization m
0 = 1. It is shown that two-time dependences of the autocorrelation and integrated response functions for systems with spin concentrations p =...

The Monte Carlo description of aging properties in nonequilibrium critical behaviour of 3D site-diluted Ising model is considered with evolution from ordered initial state with wide range of spin concentrations. At first, it was shown, that pinning of domain walls on defects leeds to a sharp change of aging properties in diluted systems in comparis...

The Monte-Carlo study deals with ultrathin magnetic films critical behavior. Uniaxial anisotropy, long-range dipolar interactions and external magnetic field competition effects on phase transition, domain structure and system properties were investigated. Striped spin configurations are demonstrated for system with strong dipolar interaction. The...

Description of giant magnetoresistance effects in magnetic multilayered structures with the use of the anisotropic Heisenberg model for determination of magnetic properties of thin ferromagnetic films forming these structures is given. Monte Carlo simulations of magnetic properties for structures, which are constructed from two ferromagnetic films...

Vortex dynamics and clustering in non-equilibrium critical relaxation of disordered 2D XY-model are investigated for different initial states. Time dependencies of vortex concentration and clusters sizes are studied for different spin concentrations. The anomalous slow down of clustering in disordered system are explained by pinning of vortices on...

The investigation includes the observation of ferromagnetic-paramagnetic phase transition for a weak dipolar interaction. The system with strong dipolar interaction reveals the striped domain structure. Bilayer model with dipolar interlayer interaction demonstrates its effective antiferromagnetic character. Memory effects in ultrathin magnetic film...

The Monte Carlo study of three-layer and spin-valve magnetic structures with giant magnetoresistance effects has been performed with the application of the Heisenberg anisotropic model to the description of the magnetic properties of thin ferromagnetic films. The dependences of the magnetic characteristics on the temperature and external magnetic f...

We propose the model which takes account of magnetocrystalline anisotropy effects in thin magnetic films. The dimensionality crossover from two-dimensional monolayer to three-dimensional system in multilayer magnetic films is studied using a Monte Carlo technique. Finite-size scaling is applied for the determination of the critical characteristics...

The Monte Carlo study of the nonequilibrium critical evolution of structurally disordered anisotropic magnetic materials from the low-temperature initial state with the reduced magnetization m
0 = 1 is performed within the broad range of spin densities, p = 1.0, 0.95, 0.8, 0.6, and 0.5. It is shown that, in such systems, the pinning of domain walls...

In the past few years, systems with slow dynamics have attracted considerable interest. Coarsening effects are exhibited in a wide range of systems. Non-equilibrium critical behavior of 2D XY-model demonstrates slow dynamics in a wide temperature range. The coarsening in pure and diluted 2D XY-model are investigated for various defects concentratio...

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...

Nonequilibrium critical behavior of structurally disordered planar magnets described by the two-dimensional XY model has been studied by Monte Carlo methods. For systems evolving from a high-temperature nonequilibrium initial state, the influence of defects of the structure on aging effects, as well as the violation of the fluctuation-dissipation t...

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...

The phenomenon of aging in the low-temperature nonequilibrium critical behavior of the two-dimensional XY model has been investigated by the Monte Carlo methods from different initial states. The temperature dependence of the transverse rigidity in the low-temperature critical behavior of the two-dimensional XY model has been investigated by the Mo...

Dimensional effects in the critical properties of multilayer Heisenberg films
have been numerically studied by Monte Carlo methods. The effect of anisotropy
created by the crystal field of a substrate has been taken into account for
films with various thicknesses. The calculated critical exponents demonstrate a
dimensional transition from two-dimen...

It is considered the non-equilibrium critical evolution of statistical systems which displays some features, such as ageing and violation of the fluctuation-dissipation theorem. We review here some theoretical results of computations that have been obtained in recent years for universal quantities, such as the exponents determining the scaling beha...

Monte-Carlo simulations have used to observe both equilibrium and non-equilibrium critical behaviour of Ising thin films with simple cubic lattice structure. The thickness dependency of critical temperature was obtained for metamagnetic thin films. By exploring the short-time scaling dynamics, we have found critical exponents z and θ' for ferromagn...