Victor Rusakov - Academia.edu (original) (raw)

Papers by Victor Rusakov

The interaction of intelligent agents implies the existence of an environment to support it. The ... more The interaction of intelligent agents implies the existence of an environment to support it. The usual representations of this environment are graphs with certain properties. Reliability is one of the most important characteristics of such graphs. Traditional metrics, i.e. the usual shortest paths and minimal cuts, form the basis of the traditional measures of reliability. The analyzing and synthesizing of reliable graphs using the Euclidian metric are described. The Euclidian metric allows us to achieve better results in doing this compared to the cases of using traditional metrics. The described approach can be used in the analysis and synthesis of the environment supporting the intercommunication of intelligent agents in conditions of limited resources to organize the structure of this interaction.

Procedia Computer Science, 2021

The Euclidian metric gives better results when organizing a multi-agent interaction environment. ... more The Euclidian metric gives better results when organizing a multi-agent interaction environment. The analytical basis for this metric is the matrix inverse to a simple matrix description of an undirected graph. In many applied tasks, the usual matrix inversion and real numbers in the framework of finite bit-depth calculations are quite sufficient. However, the unweighted undirected graph is a discrete object, and traditional metrics are able to support processing in the field of rational number s. Here we show that the Euclidian metric has the same property. Moreover, the space with the dot product is much richer in possibilities in comparison to the spaces where only norms are introduced. Here these possibilities are at the heart of a simple algorithm for calculating the rational entries of the required inverse matrix. Also in the Euclidian space one can use the most important relationship between its elements-orthogonality. The results of numerical experiments are presented.

Procedia Computer Science, 2020

The interaction of intelligent agents implies the existence of an environment to support it. The ... more The interaction of intelligent agents implies the existence of an environment to support it. The usual representations of this environment are graphs with certain properties. Throughput is one of the most important characteristics of such graphs. A traditional metric, such as the usual shortest paths, forms the basis of the traditional throughput index. In this case, a metric is used to synthesize the distribution of multicoloured flows in graphs more complex than trees. To achieve better results than when using ordinary shortest paths, one can use the Euclidian metric. Working with weighted graphs requires a generalization of the explicit form of the Moore-Penrose pseudo inversed incidence matrix. The validity of the generalization is confirmed by verification of the Penrose conditions. An example of using the Euclidian metric for the distribution of computer network flows is given.

Procedia Computer Science, 2018

In the framework of the algebraic approach to looking into characteristics of undirected graphs, ... more In the framework of the algebraic approach to looking into characteristics of undirected graphs, the sequence of their matrix representations has been established. The specifics of the matrices in such a sequence makes it possible at last to make a supposition about the explicit form of the Moore-Penrose pseudo inverse of the incidence matrix of an undirected graph. The rightness of the hypothesis has been confirmed by checking using the conditions of Penrose. The usual minimal cuts and shortest paths are shown as objects which are generated by norms introduced into the vector spaces of the edge and vertex flows. If using the Euclidean norm one gets an advantage in doing analysis and synthesis of graphs in comparison to traditional metrics. The proposed metric can be used to generate the behaviour of intelligent agents.

Procedia Computer Science, 2018

Analysis of software that supports symbolic execution of binary files is carried out. The models ... more Analysis of software that supports symbolic execution of binary files is carried out. The models of symbolic memory are analyzed. The approaches of processing cycles are described. The ways of using solvers and analysis of their performance are shown for symbolic execution. The tasks of further development of the interpreter are set. The results obtained can be used to develop a symbol interpreter for the validation of deep neural networks.

Die Makromolekulare Chemie, Theory and Simulations, 1992

ABSTRACT A statistical molecular model of polymer networks, which takes into account inter-molecu... more ABSTRACT A statistical molecular model of polymer networks, which takes into account inter-molecular orientational interaction and constancy of the chain contour length, is proposed. A simple formula for the network free energy valid for any deformations is obtained. A system of equations which describes orientational-elastic interactions in polymer networks is derived. The influence of deformation and degree of cross linking on the conditions of network phase transition into the orientationally ordered state of the nematic type is studied. The deformation curves considerably deviate from those predicted by the classical elasticity theory. A comparison of the proposed theory with experimental data for natural rubbers is carried out.

Sensors, 2018

With allowance for orientational Brownian motion, the magnetorelaxometry (MRX) signal, i.e., the ... more With allowance for orientational Brownian motion, the magnetorelaxometry (MRX) signal, i.e., the decay of magnetization generated by an ensemble of ferromagnet nanoparticles, each of which bears a macromolecular corona (a loose layer of polymer gel) is studied. The rheology of corona is modelled by the Jeffreys scheme. The latter, although comprising only three phenomenological parameters, enables one to describe a wide spectrum of viscoelastic media: from linearly viscous liquids to weakly-fluent gels. The "transverse" configuration of MRX is considered where the system is subjected to a DC (constant bias) field, whereas the probing field is applied perpendicularly to the bias one. The analysis shows that the rate of magnetization decay strongly depends on the state of corona and slows down with enhancement of the corona elasticity. In addition, for the case of "transverse" MRX, we consider the integral time, i.e., the characteristic that is applicable to relaxation processes with an arbitrary number of decay modes. Expressions for the dependence of the integral time on the corona elasticity parameter and temperature are derived.

Bulletin of the Russian Academy of Sciences: Physics, 2010

We present a model to describe a dynamic orientational response of a dilute suspension of single-... more We present a model to describe a dynamic orientational response of a dilute suspension of single-domain magnetic particles in a viscoelastic liquid carrier of the Maxwell fluid type. Introducing Brownian orientational diffusion into the equation of the particle rotary motion, absorption spectra of the initial dynamic magnetic susceptibility are obtained. Under appropriate conditions they display a complex comblike structure which might be helpful for probing the local rheology of the carrier medium of a suspension.

The dynamics of magnetization is theoretically studied for a system of ferromagnetic nanoparticle... more The dynamics of magnetization is theoretically studied for a system of ferromagnetic nanoparticles suspended in a gel (a ferrogel). The Brownian motion impedes orientation of the particles determined by the elastic matrix. Therefore, the main parameter of the medium determining the static magnetic susceptibility value is the ratio of the modulus of elasticity of matrix to the temperature. The dispersion factors of dynamic susceptibility components include combinations of the velocities of several processes: elastic restoration of the orientation of particles, their rotational Brownian diffusion, and viscous relaxation of the inertial motion. The absorption of the energy of the alternating field in a ferrogel is found to be lower than in an isotropic magnetic suspension. The effect of the interaction of elastic and Brownian forces on the effective times of ferrogel magnetization relaxation is monitored.

Technical Physics Letters, 2008

Polymer Science Series A, 2010

A simple rheological model is introduced to describe the plasticity in soft magnetic elastomers i... more A simple rheological model is introduced to describe the plasticity in soft magnetic elastomers induced by an external field. In addition to the elasticity of the polymer matrix, the effect of dry friction (plas ticity), which is provided by the rearrangement of the spatial structure of a dispersed magnetic subsystem in the course of the deformation of the material by a sufficiently strong field, is taken into account in the model. Model parameters are estimated from the reported experimental data on the deformation of cylindrical sam ples based on a soft silicon elastomer filled with quasispherical microparticles of carbonyl iron.

Physical Review E, 2005

We study magnetic response of an assembly of ferroparticles suspended in a viscoelastic matrix wh... more We study magnetic response of an assembly of ferroparticles suspended in a viscoelastic matrix which is modeled by a Maxwell fluid with a unique stress relaxation time. The problem refers to the magnetic microrheology approach where deformational properties of a complex fluid are tested with the aid of embedded nanoparticle probes set to motion by an external ac magnetic field. A possibility is considered to simplify the description of the orientational kinetics of the system at the expense of neglecting inertia effects in particle rotary motion. It is shown that in this aspect a Maxwell matrix differs essentially from the Newtonian one. In the latter the inertialess approximation for the particles of the size ϳ10 nm is valid practically unboundedly. For a viscoelastic matrix the inertialess approximation means an important restriction on the value of the stress relaxation time. Assuming weak nonequilibrium, the magneto-orientational relaxation times are found and low-frequency magnetic spectra of a viscoelastic suspension are determined in the presence of a constant ͑magnetizing͒ field.

Physical Review B, 2012

ABSTRACT Monte Carlo modeling of superparamagnetic kinetics is addressed with regard to quantific... more ABSTRACT Monte Carlo modeling of superparamagnetic kinetics is addressed with regard to quantification of the simulation steps in units of real time. For the classical Néel case (field-free relaxation of the magnetic moment in a single-domain uniaxial particle), a modification of the Nowak-Chantrell-Kennedy formula is proposed enabling the calculations with the variation amplitude of the magnetic moment independent of the particle anisotropy. This relation is obtained from comparison of the Monte Carlo simulated relaxation against the solution of the kinetic equation for the particle magnetic moment. The same idea is applied to a strongly nonequilibrium process: steady re-magnetization of a superparamagnetic particle under an ac field. It is found that in the latter case a linear relationship can be established between the number of simulation steps and the real-time scale (the field period) that holds fairly well in wide frequency and anisotropy parameter intervals.

Journal of Physics: Conference Series, 2009

A phenomenological model is proposed to describe the plasticity of soft magnetic elastomer compos... more A phenomenological model is proposed to describe the plasticity of soft magnetic elastomer composites under an external field. Along with high-elasticity, internal dry friction is introduced whose origin is attributed to the dipole-dipole interaction of the embedded particles. Numerical estimates of the model parameters are obtained from comparison with the measurements performed on iron carbonyl dispersions in soft silicon-rubber matrices.

Journal of Molecular Liquids, 1997

ABSTRACT

Journal of Magnetism and Magnetic Materials, 2009

The ground magnetic state of systems of finite number N of single-domain particles confined in a ... more The ground magnetic state of systems of finite number N of single-domain particles confined in a spherical monolayer is investigated by numeric simulations. Two model situations are considered. In the first, the particle positions are imposed and fixed, in the second, the particles are able to move freely within the layer; in the latter case the excluded volume effect is taken into account. It is found that in all the range studied (Np200) the ground state of the system retains a considerable extent of magnetic vorticity (toroid moment). Moreover, the magnetic and toroid moments are correlated: they are approximately perpendicular to one another.

Journal of Magnetism and Magnetic Materials, 1999

Nonlinear dynamic magneto-orientational susceptibility responsible for the induced birefringence ... more Nonlinear dynamic magneto-orientational susceptibility responsible for the induced birefringence in a viscoelastic magnetic suspension is investigated. In the model, the particles are considered to be magnetically rigid and their mechanical inertia is taken into account. The rheology of the #uid matrix is of the Maxwell type. We show that the frequency spectra of the "eld-induced birefringence presents a number of speci"c lineshapes.

Journal of Magnetism and Magnetic Materials, 2003

ABSTRACT

The interaction of intelligent agents implies the existence of an environment to support it. The ... more The interaction of intelligent agents implies the existence of an environment to support it. The usual representations of this environment are graphs with certain properties. Reliability is one of the most important characteristics of such graphs. Traditional metrics, i.e. the usual shortest paths and minimal cuts, form the basis of the traditional measures of reliability. The analyzing and synthesizing of reliable graphs using the Euclidian metric are described. The Euclidian metric allows us to achieve better results in doing this compared to the cases of using traditional metrics. The described approach can be used in the analysis and synthesis of the environment supporting the intercommunication of intelligent agents in conditions of limited resources to organize the structure of this interaction.

Procedia Computer Science, 2021

The Euclidian metric gives better results when organizing a multi-agent interaction environment. ... more The Euclidian metric gives better results when organizing a multi-agent interaction environment. The analytical basis for this metric is the matrix inverse to a simple matrix description of an undirected graph. In many applied tasks, the usual matrix inversion and real numbers in the framework of finite bit-depth calculations are quite sufficient. However, the unweighted undirected graph is a discrete object, and traditional metrics are able to support processing in the field of rational number s. Here we show that the Euclidian metric has the same property. Moreover, the space with the dot product is much richer in possibilities in comparison to the spaces where only norms are introduced. Here these possibilities are at the heart of a simple algorithm for calculating the rational entries of the required inverse matrix. Also in the Euclidian space one can use the most important relationship between its elements-orthogonality. The results of numerical experiments are presented.

Procedia Computer Science, 2020

The interaction of intelligent agents implies the existence of an environment to support it. The ... more The interaction of intelligent agents implies the existence of an environment to support it. The usual representations of this environment are graphs with certain properties. Throughput is one of the most important characteristics of such graphs. A traditional metric, such as the usual shortest paths, forms the basis of the traditional throughput index. In this case, a metric is used to synthesize the distribution of multicoloured flows in graphs more complex than trees. To achieve better results than when using ordinary shortest paths, one can use the Euclidian metric. Working with weighted graphs requires a generalization of the explicit form of the Moore-Penrose pseudo inversed incidence matrix. The validity of the generalization is confirmed by verification of the Penrose conditions. An example of using the Euclidian metric for the distribution of computer network flows is given.

Procedia Computer Science, 2018

In the framework of the algebraic approach to looking into characteristics of undirected graphs, ... more In the framework of the algebraic approach to looking into characteristics of undirected graphs, the sequence of their matrix representations has been established. The specifics of the matrices in such a sequence makes it possible at last to make a supposition about the explicit form of the Moore-Penrose pseudo inverse of the incidence matrix of an undirected graph. The rightness of the hypothesis has been confirmed by checking using the conditions of Penrose. The usual minimal cuts and shortest paths are shown as objects which are generated by norms introduced into the vector spaces of the edge and vertex flows. If using the Euclidean norm one gets an advantage in doing analysis and synthesis of graphs in comparison to traditional metrics. The proposed metric can be used to generate the behaviour of intelligent agents.

Procedia Computer Science, 2018

Analysis of software that supports symbolic execution of binary files is carried out. The models ... more Analysis of software that supports symbolic execution of binary files is carried out. The models of symbolic memory are analyzed. The approaches of processing cycles are described. The ways of using solvers and analysis of their performance are shown for symbolic execution. The tasks of further development of the interpreter are set. The results obtained can be used to develop a symbol interpreter for the validation of deep neural networks.

Die Makromolekulare Chemie, Theory and Simulations, 1992

ABSTRACT A statistical molecular model of polymer networks, which takes into account inter-molecu... more ABSTRACT A statistical molecular model of polymer networks, which takes into account inter-molecular orientational interaction and constancy of the chain contour length, is proposed. A simple formula for the network free energy valid for any deformations is obtained. A system of equations which describes orientational-elastic interactions in polymer networks is derived. The influence of deformation and degree of cross linking on the conditions of network phase transition into the orientationally ordered state of the nematic type is studied. The deformation curves considerably deviate from those predicted by the classical elasticity theory. A comparison of the proposed theory with experimental data for natural rubbers is carried out.

Sensors, 2018

With allowance for orientational Brownian motion, the magnetorelaxometry (MRX) signal, i.e., the ... more With allowance for orientational Brownian motion, the magnetorelaxometry (MRX) signal, i.e., the decay of magnetization generated by an ensemble of ferromagnet nanoparticles, each of which bears a macromolecular corona (a loose layer of polymer gel) is studied. The rheology of corona is modelled by the Jeffreys scheme. The latter, although comprising only three phenomenological parameters, enables one to describe a wide spectrum of viscoelastic media: from linearly viscous liquids to weakly-fluent gels. The "transverse" configuration of MRX is considered where the system is subjected to a DC (constant bias) field, whereas the probing field is applied perpendicularly to the bias one. The analysis shows that the rate of magnetization decay strongly depends on the state of corona and slows down with enhancement of the corona elasticity. In addition, for the case of "transverse" MRX, we consider the integral time, i.e., the characteristic that is applicable to relaxation processes with an arbitrary number of decay modes. Expressions for the dependence of the integral time on the corona elasticity parameter and temperature are derived.

Bulletin of the Russian Academy of Sciences: Physics, 2010

We present a model to describe a dynamic orientational response of a dilute suspension of single-... more We present a model to describe a dynamic orientational response of a dilute suspension of single-domain magnetic particles in a viscoelastic liquid carrier of the Maxwell fluid type. Introducing Brownian orientational diffusion into the equation of the particle rotary motion, absorption spectra of the initial dynamic magnetic susceptibility are obtained. Under appropriate conditions they display a complex comblike structure which might be helpful for probing the local rheology of the carrier medium of a suspension.

The dynamics of magnetization is theoretically studied for a system of ferromagnetic nanoparticle... more The dynamics of magnetization is theoretically studied for a system of ferromagnetic nanoparticles suspended in a gel (a ferrogel). The Brownian motion impedes orientation of the particles determined by the elastic matrix. Therefore, the main parameter of the medium determining the static magnetic susceptibility value is the ratio of the modulus of elasticity of matrix to the temperature. The dispersion factors of dynamic susceptibility components include combinations of the velocities of several processes: elastic restoration of the orientation of particles, their rotational Brownian diffusion, and viscous relaxation of the inertial motion. The absorption of the energy of the alternating field in a ferrogel is found to be lower than in an isotropic magnetic suspension. The effect of the interaction of elastic and Brownian forces on the effective times of ferrogel magnetization relaxation is monitored.

Technical Physics Letters, 2008

Polymer Science Series A, 2010

A simple rheological model is introduced to describe the plasticity in soft magnetic elastomers i... more A simple rheological model is introduced to describe the plasticity in soft magnetic elastomers induced by an external field. In addition to the elasticity of the polymer matrix, the effect of dry friction (plas ticity), which is provided by the rearrangement of the spatial structure of a dispersed magnetic subsystem in the course of the deformation of the material by a sufficiently strong field, is taken into account in the model. Model parameters are estimated from the reported experimental data on the deformation of cylindrical sam ples based on a soft silicon elastomer filled with quasispherical microparticles of carbonyl iron.

Physical Review E, 2005

We study magnetic response of an assembly of ferroparticles suspended in a viscoelastic matrix wh... more We study magnetic response of an assembly of ferroparticles suspended in a viscoelastic matrix which is modeled by a Maxwell fluid with a unique stress relaxation time. The problem refers to the magnetic microrheology approach where deformational properties of a complex fluid are tested with the aid of embedded nanoparticle probes set to motion by an external ac magnetic field. A possibility is considered to simplify the description of the orientational kinetics of the system at the expense of neglecting inertia effects in particle rotary motion. It is shown that in this aspect a Maxwell matrix differs essentially from the Newtonian one. In the latter the inertialess approximation for the particles of the size ϳ10 nm is valid practically unboundedly. For a viscoelastic matrix the inertialess approximation means an important restriction on the value of the stress relaxation time. Assuming weak nonequilibrium, the magneto-orientational relaxation times are found and low-frequency magnetic spectra of a viscoelastic suspension are determined in the presence of a constant ͑magnetizing͒ field.

Physical Review B, 2012

ABSTRACT Monte Carlo modeling of superparamagnetic kinetics is addressed with regard to quantific... more ABSTRACT Monte Carlo modeling of superparamagnetic kinetics is addressed with regard to quantification of the simulation steps in units of real time. For the classical Néel case (field-free relaxation of the magnetic moment in a single-domain uniaxial particle), a modification of the Nowak-Chantrell-Kennedy formula is proposed enabling the calculations with the variation amplitude of the magnetic moment independent of the particle anisotropy. This relation is obtained from comparison of the Monte Carlo simulated relaxation against the solution of the kinetic equation for the particle magnetic moment. The same idea is applied to a strongly nonequilibrium process: steady re-magnetization of a superparamagnetic particle under an ac field. It is found that in the latter case a linear relationship can be established between the number of simulation steps and the real-time scale (the field period) that holds fairly well in wide frequency and anisotropy parameter intervals.

Journal of Physics: Conference Series, 2009

A phenomenological model is proposed to describe the plasticity of soft magnetic elastomer compos... more A phenomenological model is proposed to describe the plasticity of soft magnetic elastomer composites under an external field. Along with high-elasticity, internal dry friction is introduced whose origin is attributed to the dipole-dipole interaction of the embedded particles. Numerical estimates of the model parameters are obtained from comparison with the measurements performed on iron carbonyl dispersions in soft silicon-rubber matrices.

Journal of Molecular Liquids, 1997

ABSTRACT

Journal of Magnetism and Magnetic Materials, 2009

The ground magnetic state of systems of finite number N of single-domain particles confined in a ... more The ground magnetic state of systems of finite number N of single-domain particles confined in a spherical monolayer is investigated by numeric simulations. Two model situations are considered. In the first, the particle positions are imposed and fixed, in the second, the particles are able to move freely within the layer; in the latter case the excluded volume effect is taken into account. It is found that in all the range studied (Np200) the ground state of the system retains a considerable extent of magnetic vorticity (toroid moment). Moreover, the magnetic and toroid moments are correlated: they are approximately perpendicular to one another.

Journal of Magnetism and Magnetic Materials, 1999

Nonlinear dynamic magneto-orientational susceptibility responsible for the induced birefringence ... more Nonlinear dynamic magneto-orientational susceptibility responsible for the induced birefringence in a viscoelastic magnetic suspension is investigated. In the model, the particles are considered to be magnetically rigid and their mechanical inertia is taken into account. The rheology of the #uid matrix is of the Maxwell type. We show that the frequency spectra of the "eld-induced birefringence presents a number of speci"c lineshapes.

Journal of Magnetism and Magnetic Materials, 2003

ABSTRACT