Nikolai Brilliantov - Academia.edu (original) (raw)
Papers by Nikolai Brilliantov
arXiv (Cornell University), Dec 9, 2002
A gas of particles which collide inelastically if their impact velocity exceeds a certain value i... more A gas of particles which collide inelastically if their impact velocity exceeds a certain value is investigated. In difference to common granular gases, cluster formation occurs only as a transient phenomenon. We calculate the decay of temperature due to inelastic collisions. In spite of the drastically reduced dissipation at low temperature the temperature surprisingly converges to zero.
New Journal of Physics
The dynamics of gases made of particles interacting dissipatively—known as granular gases—can be ... more The dynamics of gases made of particles interacting dissipatively—known as granular gases—can be fully described by the translational and rotational motion of the individual particles; however, most of the results in the field refer to the limit of smooth particles, which implies that the rotational degrees of freedom are suppressed. Here we investigate the opposite limit: we consider a granular gas where the translational degrees of freedom are suppressed, and the key degrees of freedom are rotational. Our results indicate that for many-particle systems of pure rotators collective effects almost completely suppressed. This is in a sharp contrast to granular gases of smooth particles and other conventional matter where the translational degrees of freedom dominate the kinetics.
Physical Review E, 2022
The impact of nanoparticles (NPs) comprised of atoms with covalent bonding is investigated numeri... more The impact of nanoparticles (NPs) comprised of atoms with covalent bonding is investigated numerically and theoretically. We use recent models of covalent bonding of carbon atoms and elaborate a numerical model of amorphous carbon (a-C) NPs, which may be applied for modelling soot particles. We compute the elastic moduli of the a-C material which agree well with the available data. We reveal an interesting novel phenomenon-stress dependent adhesion, which refers to stress-enhanced formation of covalent bonds between contacting surfaces. We observe that the effective adhesion coefficient linearly depends on the maximal stress between the surfaces and explain this dependence. We compute the normal restitution coefficient for colliding NPs and explore the dependence of the critical velocity, demarcating bouncing and aggregative collisions, on the NP radius. Using the obtained elastic and stress-dependent adhesive coefficients we develop a theory for the critical velocity. The predictions of the theory agree very well with the simulation results.
Physical Review Letters, 2021
Systems evolving through aggregation and fragmentation may possess an intriguing super-cluster st... more Systems evolving through aggregation and fragmentation may possess an intriguing super-cluster state (SCS). Clusters constituting this state are mostly large, so the SCS resembles a gelling state. The formation of the SCS is controlled by fluctuations and in this aspect, it is similar to a critical state. The SCS is non-extensive as the number of clusters varies sub-linearly with the system size. In the parameter space, the SCS separates equilibrium and jamming (extensive) states. The conventional methods such as the van Kampen expansion fail to describe the SCS. To characterize the SCS, we propose a scaling approach with a set of critical exponents. Our theoretical findings are in good agreement with numerical results.
Journal of Physics A: Mathematical and Theoretical, 2020
We study conformations of the Gaussian polymer chains in d-dimensional space in the presence of a... more We study conformations of the Gaussian polymer chains in d-dimensional space in the presence of an external field with the harmonic potential. We apply a path integral approach to derive an explicit expression for the probability distribution function of the gyration radius. We calculate this function using Monte Carlo simulations and show that our numerical and theoretical results are in a good agreement for different values of the external field.
Physical Review E, 2020
We investigate numerically and analytically size-polydisperse granular mixtures immersed into a m... more We investigate numerically and analytically size-polydisperse granular mixtures immersed into a molecular gas. We show that the equipartition of granular temperatures of particles of different sizes is established; however, the granular temperatures significantly differ from the temperature of the molecular gas. This result is surprising since, generally, the energy equipartition is strongly violated in driven granular mixtures. Qualitatively, the obtained results do not depend on the collision model, being valid for a constant restitution coefficient ε, as well as for the ε for viscoelastic particles. Our findings may be important for astrophysical applications, such as protoplanetary disks, interstellar dust clouds, and comets.
Nature Communications, 2018
The kinetic energy of a force-free granular gas decays monotonously due to inelastic collisions o... more The kinetic energy of a force-free granular gas decays monotonously due to inelastic collisions of the particles. For a homogeneous granular gas of identical particles, the corresponding decay of granular temperature is quantified by Haff’s law. Here, we report that for a granular gas of aggregating particles, the granular temperature does not necessarily decay but may even increase. Surprisingly, the increase of temperature is accompanied by the continuous loss of total gas energy. This stunning effect arises from a subtle interplay between decaying kinetic energy and gradual reduction of the number of degrees of freedom associated with the particles’ dynamics. We derive a set of kinetic equations of Smoluchowski type for the concentrations of aggregates of different sizes and their energies. We find scaling solutions to these equations and a condition for the aggregation mechanism predicting growth of temperature. Numerical direct simulation Monte Carlo results confirm the theoret...
Faraday discussions, Jan 4, 2017
David Andersson, Martin Bazant, Roland Bennewitz, Lyderic Bocquet, Fernando Bresme, Nikolay Brill... more David Andersson, Martin Bazant, Roland Bennewitz, Lyderic Bocquet, Fernando Bresme, Nikolay Brilliantov, Astrid S. de Wijn, Carlos Drummond, Robert Dryfe, Robert Hillman, Alexei A. Kornyshev, Günther Krämer, Mohit Kulkarni, Alpha Lee, Hua Li, Frieder Mugele, Carla Perez Martinez, Susan Perkin, Mircea Rastei, Oliver Robotham, George Schatz, David Schiffrin, Ran Tivony, Michael Urbakh and Andriy Yaroshchuk
Faraday discussions, Jan 4, 2017
Marco Balabajew, Nina Balke, Martin Bazant, Roland Bennewitz, Nikolay Brilliantov, Astrid S. de W... more Marco Balabajew, Nina Balke, Martin Bazant, Roland Bennewitz, Nikolay Brilliantov, Astrid S. de Wijn, Ranabir Dey, Carlos Drummond, Robert Dryfe, Hubert Girault, Kelsey Hatzell, Robert Hillman, Konstantin Kornev, Alexei A. Kornyshev, Irena Kratochvilova, Tom Krupenkin, Alpha Lee, Andy Mount, Frieder Mugele, Hyacinthe Randriamahazaka, Oliver Robotham, George Schatz, David Schiffrin, Elisabeth Smela and Andriy Yaroshchuk
Faraday discussions, Jan 4, 2017
Physical Review E, 2016
We study theoretically and by means of molecular dynamics (MD) simulations the generation of mech... more We study theoretically and by means of molecular dynamics (MD) simulations the generation of mechanical force by grafted polyelectrolytes in an external electric field, which favors its adsorption on the grafting plane. The force arises in deformable bodies linked to the free end of the chain. Varying the field, one controls the length of the nonadsorbed part of the chain and hence the deformation of the target body, i.e., the arising force too. We consider target bodies with a linear force-deformation relation and with a Hertzian one. While the first relation models a coiled Gaussian chain, the second one describes the force response of a squeezed colloidal particle. The theoretical dependences of generated force and compression of the target body on an applied field agree very well with the results of MD simulations. The analyzed phenomenon may play an important role in future nanomachinery, e.g., it may be used to design nanovices to fix nanosized objects.
Nelineinaya Dinamika, 2012
Полнотекстовая версия в свободном доступе http://nd.ics.org.ru IN MEMORIAM Александр Юрьевич Лоск... more Полнотекстовая версия в свободном доступе http://nd.ics.org.ru IN MEMORIAM Александр Юрьевич Лоскутов (5.5.1959-5.11.2011) 5 ноября 2011 года после тяжелой болезни скончался профессор физического факультета Московского государственного университета им. М. В. Ломоносова, член редколлегии журнала «Нелинейная динамика» Александр Юрьевич Лоскутов. Ушел из жизни видный ученый, талантливый человек, а для многих-просто близкий друг и учитель. Семья Александра Юрьевича Лоскутова была связана с Московским государственным университетом в течение многих десятилетий. Его отец, заслуженный профессор МГУ Юрий Михайлович Лоскутов, до сих пор преподает на физическом факультете. Не одно поколение студентов изучало квантовую механику по его учебникам. Мать, Алла Григорьевна Лоскутова, работает секретарем на кафедре квантовой теории и физики высоких энергий. А. Ю. Лоскутов поступил на физфак МГУ в 1976 году. Защитив дипломную работу в области гидродинамики в 1982 году, он приступил к работе над кандидатской диссертацией по новой в то время проблеме подавления динамического хаоса. Получив степень кандидата физико-математических наук в 1987 году, А. Ю. Лоскутов продолжил научную и преподавательскую деятельность в Московском государственном университете. Он читал курсы лекций по общей физике, нелинейной динамике, теории динамического хаоса и неравновесных динамических систем. В 1997 году защитил докторскую диссертацию. Продолжая семейную традицию, А. Ю. Лоскутов проявил себя как прекрасный педагог. Его лекции отличались глубиной и ясностью, эффектным изложением материала. Педагогические и научные успехи А. Ю. Лоскутова были отмечены тем, что в 1995 году он получил звание доцента, в 1998 году-должность профессора, а немного позже и звание профессора.
Kinetic Theory of Granular Gases, 2004
The enslaving temperature by the shear mode leads to an inverse dependence of pressure on density... more The enslaving temperature by the shear mode leads to an inverse dependence of pressure on density, that is, to a clustering instability. This chapter shows that for a granular gas of viscoelastic particles, the conditions of temperature enslaving by the shear mode are not satisfied after a period of gas evolution.
Kinetic Theory of Granular Gases, 2004
This chapter analyzes the coefficient of self-diffusion. The coefficient of self-diffusion for gr... more This chapter analyzes the coefficient of self-diffusion. The coefficient of self-diffusion for granular gases with the simplified collision model ε = const differs from the coefficient for granular gases of viscoelastic particles. For the former case, the mean square displacement depends logarithmically on time; the latter case obeys a power law.
Kinetic Theory of Granular Gases, 2004
This chapter discusses the basic concepts of diffusion and self-diffusion. It derives relations b... more This chapter discusses the basic concepts of diffusion and self-diffusion. It derives relations between the mean square displacement of a diffusing particle, the diffusion coefficient, and the velocity-time correlation function. These relations are generalized to the case of non-equilibrium granular gases.
Kinetic Theory of Granular Gases, 2004
Under certain experimental conditions, granular gases behave as if they are effectively two-dimen... more Under certain experimental conditions, granular gases behave as if they are effectively two-dimensional. Computer simulations are often performed for two-dimensional systems due to the limitations of computer power. This chapter presents the corresponding generalized expressions for two-dimensional granular gases.
physica status solidi (a), 1990
Physica Status Solidi (a), 1992
DLTS studies of annealing kinetics are carried out for 1 MeV electron irradiated lithium-d oped s... more DLTS studies of annealing kinetics are carried out for 1 MeV electron irradiated lithium-d oped silicon p-n solar cells. The results obtained show that during low-t emperature annealing Li atoms actively interact with radiation defects, transforming them into complexes with low recombination properties. New deep levels (Ec−0.36 eV) and (Ev0.30 eV), associated with lithium-c ontaining complexes are observed. A multistage annealing model for annealing of radiation defects is proposed. An explanation of the annealing kinetics as well as the identification of the new deep levels is given on the base of the model. [Russian text ignored]
arXiv (Cornell University), Apr 4, 2002
Given a chain of viscoelastic spheres with fixed masses of the first and last particles. We raise... more Given a chain of viscoelastic spheres with fixed masses of the first and last particles. We raise the question: How to chose the masses of the other particles of the chain to assure maximal energy transfer? The results are compared with a chain of particles for which a constant coefficient of restitution is assumed. Our simple example shows that the assumption of viscoelastic particle properties has not only important consequences for very large systems (see [1]) but leads also to qualitative changes in small systems as compared with particles interacting via a constant restitution coefficient.
Computational Mathematics and Mathematical Physics
arXiv (Cornell University), Dec 9, 2002
A gas of particles which collide inelastically if their impact velocity exceeds a certain value i... more A gas of particles which collide inelastically if their impact velocity exceeds a certain value is investigated. In difference to common granular gases, cluster formation occurs only as a transient phenomenon. We calculate the decay of temperature due to inelastic collisions. In spite of the drastically reduced dissipation at low temperature the temperature surprisingly converges to zero.
New Journal of Physics
The dynamics of gases made of particles interacting dissipatively—known as granular gases—can be ... more The dynamics of gases made of particles interacting dissipatively—known as granular gases—can be fully described by the translational and rotational motion of the individual particles; however, most of the results in the field refer to the limit of smooth particles, which implies that the rotational degrees of freedom are suppressed. Here we investigate the opposite limit: we consider a granular gas where the translational degrees of freedom are suppressed, and the key degrees of freedom are rotational. Our results indicate that for many-particle systems of pure rotators collective effects almost completely suppressed. This is in a sharp contrast to granular gases of smooth particles and other conventional matter where the translational degrees of freedom dominate the kinetics.
Physical Review E, 2022
The impact of nanoparticles (NPs) comprised of atoms with covalent bonding is investigated numeri... more The impact of nanoparticles (NPs) comprised of atoms with covalent bonding is investigated numerically and theoretically. We use recent models of covalent bonding of carbon atoms and elaborate a numerical model of amorphous carbon (a-C) NPs, which may be applied for modelling soot particles. We compute the elastic moduli of the a-C material which agree well with the available data. We reveal an interesting novel phenomenon-stress dependent adhesion, which refers to stress-enhanced formation of covalent bonds between contacting surfaces. We observe that the effective adhesion coefficient linearly depends on the maximal stress between the surfaces and explain this dependence. We compute the normal restitution coefficient for colliding NPs and explore the dependence of the critical velocity, demarcating bouncing and aggregative collisions, on the NP radius. Using the obtained elastic and stress-dependent adhesive coefficients we develop a theory for the critical velocity. The predictions of the theory agree very well with the simulation results.
Physical Review Letters, 2021
Systems evolving through aggregation and fragmentation may possess an intriguing super-cluster st... more Systems evolving through aggregation and fragmentation may possess an intriguing super-cluster state (SCS). Clusters constituting this state are mostly large, so the SCS resembles a gelling state. The formation of the SCS is controlled by fluctuations and in this aspect, it is similar to a critical state. The SCS is non-extensive as the number of clusters varies sub-linearly with the system size. In the parameter space, the SCS separates equilibrium and jamming (extensive) states. The conventional methods such as the van Kampen expansion fail to describe the SCS. To characterize the SCS, we propose a scaling approach with a set of critical exponents. Our theoretical findings are in good agreement with numerical results.
Journal of Physics A: Mathematical and Theoretical, 2020
We study conformations of the Gaussian polymer chains in d-dimensional space in the presence of a... more We study conformations of the Gaussian polymer chains in d-dimensional space in the presence of an external field with the harmonic potential. We apply a path integral approach to derive an explicit expression for the probability distribution function of the gyration radius. We calculate this function using Monte Carlo simulations and show that our numerical and theoretical results are in a good agreement for different values of the external field.
Physical Review E, 2020
We investigate numerically and analytically size-polydisperse granular mixtures immersed into a m... more We investigate numerically and analytically size-polydisperse granular mixtures immersed into a molecular gas. We show that the equipartition of granular temperatures of particles of different sizes is established; however, the granular temperatures significantly differ from the temperature of the molecular gas. This result is surprising since, generally, the energy equipartition is strongly violated in driven granular mixtures. Qualitatively, the obtained results do not depend on the collision model, being valid for a constant restitution coefficient ε, as well as for the ε for viscoelastic particles. Our findings may be important for astrophysical applications, such as protoplanetary disks, interstellar dust clouds, and comets.
Nature Communications, 2018
The kinetic energy of a force-free granular gas decays monotonously due to inelastic collisions o... more The kinetic energy of a force-free granular gas decays monotonously due to inelastic collisions of the particles. For a homogeneous granular gas of identical particles, the corresponding decay of granular temperature is quantified by Haff’s law. Here, we report that for a granular gas of aggregating particles, the granular temperature does not necessarily decay but may even increase. Surprisingly, the increase of temperature is accompanied by the continuous loss of total gas energy. This stunning effect arises from a subtle interplay between decaying kinetic energy and gradual reduction of the number of degrees of freedom associated with the particles’ dynamics. We derive a set of kinetic equations of Smoluchowski type for the concentrations of aggregates of different sizes and their energies. We find scaling solutions to these equations and a condition for the aggregation mechanism predicting growth of temperature. Numerical direct simulation Monte Carlo results confirm the theoret...
Faraday discussions, Jan 4, 2017
David Andersson, Martin Bazant, Roland Bennewitz, Lyderic Bocquet, Fernando Bresme, Nikolay Brill... more David Andersson, Martin Bazant, Roland Bennewitz, Lyderic Bocquet, Fernando Bresme, Nikolay Brilliantov, Astrid S. de Wijn, Carlos Drummond, Robert Dryfe, Robert Hillman, Alexei A. Kornyshev, Günther Krämer, Mohit Kulkarni, Alpha Lee, Hua Li, Frieder Mugele, Carla Perez Martinez, Susan Perkin, Mircea Rastei, Oliver Robotham, George Schatz, David Schiffrin, Ran Tivony, Michael Urbakh and Andriy Yaroshchuk
Faraday discussions, Jan 4, 2017
Marco Balabajew, Nina Balke, Martin Bazant, Roland Bennewitz, Nikolay Brilliantov, Astrid S. de W... more Marco Balabajew, Nina Balke, Martin Bazant, Roland Bennewitz, Nikolay Brilliantov, Astrid S. de Wijn, Ranabir Dey, Carlos Drummond, Robert Dryfe, Hubert Girault, Kelsey Hatzell, Robert Hillman, Konstantin Kornev, Alexei A. Kornyshev, Irena Kratochvilova, Tom Krupenkin, Alpha Lee, Andy Mount, Frieder Mugele, Hyacinthe Randriamahazaka, Oliver Robotham, George Schatz, David Schiffrin, Elisabeth Smela and Andriy Yaroshchuk
Faraday discussions, Jan 4, 2017
Physical Review E, 2016
We study theoretically and by means of molecular dynamics (MD) simulations the generation of mech... more We study theoretically and by means of molecular dynamics (MD) simulations the generation of mechanical force by grafted polyelectrolytes in an external electric field, which favors its adsorption on the grafting plane. The force arises in deformable bodies linked to the free end of the chain. Varying the field, one controls the length of the nonadsorbed part of the chain and hence the deformation of the target body, i.e., the arising force too. We consider target bodies with a linear force-deformation relation and with a Hertzian one. While the first relation models a coiled Gaussian chain, the second one describes the force response of a squeezed colloidal particle. The theoretical dependences of generated force and compression of the target body on an applied field agree very well with the results of MD simulations. The analyzed phenomenon may play an important role in future nanomachinery, e.g., it may be used to design nanovices to fix nanosized objects.
Nelineinaya Dinamika, 2012
Полнотекстовая версия в свободном доступе http://nd.ics.org.ru IN MEMORIAM Александр Юрьевич Лоск... more Полнотекстовая версия в свободном доступе http://nd.ics.org.ru IN MEMORIAM Александр Юрьевич Лоскутов (5.5.1959-5.11.2011) 5 ноября 2011 года после тяжелой болезни скончался профессор физического факультета Московского государственного университета им. М. В. Ломоносова, член редколлегии журнала «Нелинейная динамика» Александр Юрьевич Лоскутов. Ушел из жизни видный ученый, талантливый человек, а для многих-просто близкий друг и учитель. Семья Александра Юрьевича Лоскутова была связана с Московским государственным университетом в течение многих десятилетий. Его отец, заслуженный профессор МГУ Юрий Михайлович Лоскутов, до сих пор преподает на физическом факультете. Не одно поколение студентов изучало квантовую механику по его учебникам. Мать, Алла Григорьевна Лоскутова, работает секретарем на кафедре квантовой теории и физики высоких энергий. А. Ю. Лоскутов поступил на физфак МГУ в 1976 году. Защитив дипломную работу в области гидродинамики в 1982 году, он приступил к работе над кандидатской диссертацией по новой в то время проблеме подавления динамического хаоса. Получив степень кандидата физико-математических наук в 1987 году, А. Ю. Лоскутов продолжил научную и преподавательскую деятельность в Московском государственном университете. Он читал курсы лекций по общей физике, нелинейной динамике, теории динамического хаоса и неравновесных динамических систем. В 1997 году защитил докторскую диссертацию. Продолжая семейную традицию, А. Ю. Лоскутов проявил себя как прекрасный педагог. Его лекции отличались глубиной и ясностью, эффектным изложением материала. Педагогические и научные успехи А. Ю. Лоскутова были отмечены тем, что в 1995 году он получил звание доцента, в 1998 году-должность профессора, а немного позже и звание профессора.
Kinetic Theory of Granular Gases, 2004
The enslaving temperature by the shear mode leads to an inverse dependence of pressure on density... more The enslaving temperature by the shear mode leads to an inverse dependence of pressure on density, that is, to a clustering instability. This chapter shows that for a granular gas of viscoelastic particles, the conditions of temperature enslaving by the shear mode are not satisfied after a period of gas evolution.
Kinetic Theory of Granular Gases, 2004
This chapter analyzes the coefficient of self-diffusion. The coefficient of self-diffusion for gr... more This chapter analyzes the coefficient of self-diffusion. The coefficient of self-diffusion for granular gases with the simplified collision model ε = const differs from the coefficient for granular gases of viscoelastic particles. For the former case, the mean square displacement depends logarithmically on time; the latter case obeys a power law.
Kinetic Theory of Granular Gases, 2004
This chapter discusses the basic concepts of diffusion and self-diffusion. It derives relations b... more This chapter discusses the basic concepts of diffusion and self-diffusion. It derives relations between the mean square displacement of a diffusing particle, the diffusion coefficient, and the velocity-time correlation function. These relations are generalized to the case of non-equilibrium granular gases.
Kinetic Theory of Granular Gases, 2004
Under certain experimental conditions, granular gases behave as if they are effectively two-dimen... more Under certain experimental conditions, granular gases behave as if they are effectively two-dimensional. Computer simulations are often performed for two-dimensional systems due to the limitations of computer power. This chapter presents the corresponding generalized expressions for two-dimensional granular gases.
physica status solidi (a), 1990
Physica Status Solidi (a), 1992
DLTS studies of annealing kinetics are carried out for 1 MeV electron irradiated lithium-d oped s... more DLTS studies of annealing kinetics are carried out for 1 MeV electron irradiated lithium-d oped silicon p-n solar cells. The results obtained show that during low-t emperature annealing Li atoms actively interact with radiation defects, transforming them into complexes with low recombination properties. New deep levels (Ec−0.36 eV) and (Ev0.30 eV), associated with lithium-c ontaining complexes are observed. A multistage annealing model for annealing of radiation defects is proposed. An explanation of the annealing kinetics as well as the identification of the new deep levels is given on the base of the model. [Russian text ignored]
arXiv (Cornell University), Apr 4, 2002
Given a chain of viscoelastic spheres with fixed masses of the first and last particles. We raise... more Given a chain of viscoelastic spheres with fixed masses of the first and last particles. We raise the question: How to chose the masses of the other particles of the chain to assure maximal energy transfer? The results are compared with a chain of particles for which a constant coefficient of restitution is assumed. Our simple example shows that the assumption of viscoelastic particle properties has not only important consequences for very large systems (see [1]) but leads also to qualitative changes in small systems as compared with particles interacting via a constant restitution coefficient.
Computational Mathematics and Mathematical Physics