arXiv subjects

N. A. Usov

Publications and source records attributed to N. A. Usov.

At least 19 recordsLinked to original sources

arXiv2026

Magnetosomes in Nature, Biomedicine and Physics

Magnetotactic bacteria synthesize linear chains of magnetite nanoparticles within their bodies, which allow the bacteria to navigate the Earth's magnetic field in search of the best habitat. Biogenic magnetite particles, called magnetosomes, are very promising for use in biomedicine. Magnetosome chains have also been found in ancient fossils and sediments. The study of magnetofossils provides valuable information about the Earth's biological past. The presence of biogenic magnetite in ancient rock samples can be detected by measuring ferromagnetic resonance spectra, first-order magnetization reversal curves, or quasi-static hysteresis loops. Theoretical analyses of these experiments generally assume that magnetosomes are spherical nanoparticles, although the shape of some types of magnetosomes is close to spheroidal one. In this work, simple formulas for describing the magneto-dipole interaction of oriented spheroids are obtained and quasi-static hysteresis loops of randomly oriented magnetosome chain assembly consisting of elongated spheroids are calculated.

cond-mat.mes-hall↗

arXiv2024

Magnetization processes in non single domain magnetite particles

Quasi-static hysteresis loops of spherical and spheroidal magnetite nanoparticles with semi-axes ratio a/b = 1.5 and 2.0 with different types of combined magnetic anisotropy are calculated using numerical simulation. For particles of each type the critical diameters Dcr are determined so, that above Dcr the magnetization curling becomes the easiest mode of particle magnetization reversal. Hysteresis loops are calculated both for single-domain nanoparticles in the diameter range Dcr < D < Dc, and for vortex particles with diameters D > Dc, where Dc is the single-domain diameter. The results obtained are compared with the usual hysteresis loops of particles with diameters D < Dcr. Hysteresis loops of dilute oriented assemblies are studied for various angles of the external magnetic field relative to the particle symmetry axis. For the corresponding randomly oriented assemblies the hysteresis loops are obtained by averaging over this angle. It is shown that the magnetization reversal of nanoparticles studied occurs through the nucleation of the curling mode, which can be accompanied by the formation of various vortices in finite intervals of the external magnetic field. The remanent magnetization and coercive force of oriented and non-oriented dilute assemblies of magnetite nanoparticles with different aspect ratios are determined as the functions of the transverse particle diameter.

cond-mat.mes-hall↗

arXiv2023

Spherical quantum well

Standard power series are used to construct and analyze angular and radial spheroidal functions, which are necessary for solving boundary value problems for Helmholtz equation in a spheroid. With an advanced approach the low-lying energy levels of a deep spheroidal quantum well are calculated as a function of the spheroid semiaxes ratio a/b. The well-known results for cylindrical and spherical wells are reproduced in the limits a/b >> 1, and a/b ~ 1, respectively.

cond-mat.mes-hall↗

arXiv2022

Magnetostatic interaction in oriented assembly of elongated nanoparticles

The elements of the magneto-dipole (MD) interaction matrix are calculated for a pair of oriented spheroidal magnetic nanoparticles with a semiaxes ratio a/b = 1.25, 1.5, 2.0 and 3.0 as a function of the distance between the particle centers. It is shown that the spherical approximation for MD interaction matrix is incorrect already at aspect ratios a/b > 1.25, if the distance R between the particle centers is of the order of particle sizes. However, for moderate particle aspect ratios, a/b < 1.5, the first order correction to spherical approximation with respect to a corresponding small parameter is shown to be in a good agreement with numerical data. Using exact MD interaction matrix, the quasi-static hysteresis loops of dilute assemblies of oriented clusters of spheroidal nanoparticles with different filling densities are calculated, depending on the direction of the external magnetic field with respect to the particle orientation axis.

cond-mat.mes-hall↗

arXiv2021

Towards optimal thermal distribution in magnetic hyperthermia

A linear combination of spherically symmetric heat sources is shown to provide optimal stationary thermal distribution in magnetic hyperthermia. Furthermore, such spatial location of heat sources produces suitable temperature distribution in biological medium even for assemblies of magnetic nanoparticles with a moderate value of specific absorption rate (SAR), of the order of 100 - 150 W/g. We also demonstrate the advantage of using assemblies of magnetic nanocapsules consisting of metallic iron nanoparticles covered with non magnetic shells of sufficient thickness in magnetic hyperthermia. Based on numerical simulation we optimize the size and geometric structure of biocompatible capsules in order to minimize the influence of strong magneto-dipole interaction between closely spaced nanoparticles. It is shown that assembly of capsules can provide sufficiently high SAR values of the order of 250 - 400 W/g at moderate amplitudes H = 50 - 100 Oe and frequencies f = 100 - 200 kHz of alternating magnetic field, being appropriate for application in clinics

physics.app-ph↗

arXiv2021

Dynamics of particles with cubic magnetic anisotropy in a viscous liquid

The specific absorption rate (SAR) of a dilute assembly of spherical iron nanoparticles with cubic anisotropy distributed in a viscous liquid is calculated using the solution of stochastic Landau - Lifshitz equation for unit magnetization vector and stochastic equations for multiple particle directors that specify the spatial orientation of the nanoparticle in a liquid. The viscous and magnetic magnetization reversal modes of particles are revealed at low and sufficiently high amplitudes of alternating magnetic field, respectively. The SAR of iron nanoparticle assembly is shown to exceed significantly that of iron oxide nanoparticles with uniaxial anisotropy at the same amplitudes and frequencies of applied magnetic field. The linear response theory is shown to be valid only at small magnetic field amplitudes, H0 < 50 - 70 Oe.

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arXiv2020

Properties of Assembly of Superparamagnetic Nanoparticles in Viscous Liquid

Detailed calculations of the specific absorption rate (SAR) of a dilute assembly of iron oxide nanoparticles with effective uniaxial anisotropy dispersed in a liquid are performed depending on the particle diameters, the alternating (ac) magnetic field amplitude and the liquid viscosity. For small and moderate ac magnetic field amplitudes H0 with respect to particle anisotropy field Hk the SAR of the assembly as a function of the particle diameter passes through a characteristic maximum and then reaches a plateau, whereas for sufficiently large amplitudes, H0 ~ Hk, the SAR increases monotonically as a function of particle diameter. This difference is a consequence of realization of viscous and magnetic oscillation modes for particle unit magnetization vector and director for moderate and sufficiently large H0 values, respectively. It is found that the SAR of the assembly changes inversely with the viscosity only in a viscous mode, for nanoparticles of sufficiently large diameters. In the developed magnetic mode the SAR of the assembly is practically independent of the viscosity, since in this case the nanoparticle director only weakly oscillates around the ac magnetic field direction. At moderate amplitudes of the ac magnetic field the SAR values of the assembly in the liquid and in the solid matrix are found to be close, except of the range of large particle diameters and sufficiently low viscosity. However, at large field amplitudes the SAR of randomly oriented assembly of nanoparticles in a solid matrix is approximately two times less than that in a liquid, because a significant fraction of nanoparticles of the assembly in the solid matrix is not optimally oriented with respect to the ac magnetic field direction. The conditions for the validity of the linear response theory have been clarified by comparison with the numerical simulation data.

cond-mat.mes-hall↗

arXiv2020

Application of magnetosomes in magnetic hyperthermia

Magnetosomes, i.e. nanoparticles synthesized in nature by magnetotactic bacteria, are very promising for use in magnetic hyperthermia for the cancer treatment. Using the solution of the stochastic Landau-Lifshitz equation we calculate the specific absorption rate in an alternating magnetic field of assemblies of magnetosome chains depending on the particle size, the distance between particles in a chain, and the angle of the applied magnetic field with respect to the chain axis. The dependence of specific absorption rate on the distance between the chain particles is shown to have a bell-shaped form with a pronounced maximum. The maximum specific absorption rate only weakly depends on the diameter of the nanoparticles and the length of the chain. However, a significant decrease in specific absorption rate occurs in a dense chain assembly due to the strong magneto-dipole interaction of nanoparticles of different chains.

physics.app-ph↗

arXiv2020

Equilibrium properties of assembly of interacting superparamagnetic nanoparticles

The stochastic Landau-Lifshitz equation is used to investigate the relaxation process and equilibrium magnetization of interacting assembly of superparamagnetic nanoparticles uniformly distributed in a nonmagnetic matrix. For weakly interacting assembly the equilibrium magnetization is shown to deviate significantly from the Langevin law in the range of moderate and large magnetic fields due to the influence of magnetic anisotropy energy. For dense assemblies with noticeable influence of the magneto-dipole interaction a significant dependence of the initial susceptibility on the assembly density is revealed. The difference between the initial susceptibility and the corresponding Langevin susceptibility can serve as an indication of the influence of the magneto-dipole interaction on the assembly properties. A new self-consistent approach is developed to explain the effect of mutual magneto-dipole interaction on the behavior of dense assembly of superparamagnetic nanoparticles. The probability densities of the components of random magnetic field acting on magnetic nanoparticles are calculated at thermodynamic equilibrium. The self-consistent probability densities of these components are found to be close to Gaussian distribution. It is shown that a decrease in the equilibrium assembly magnetization as a function of density can be explained by the disorienting effect of the random magnetic field on the particle magnetic moments.

cond-mat.mes-hall↗

arXiv2019

Iron oxide nanoparticles for magnetic hyperthermia

Assemblies of magnetic nanoparticles show a great potential for application in biomedicine, in particular, in magnetic hyperthermia. However, to achieve desired therapeutic effect in magnetic hyperthermia the assembly of nanoparticles should have a sufficiently high specific absorption rate in alternating magnetic field of moderate amplitude and frequency.

cond-mat.mes-hall↗

arXiv2018

Ferromagnetic resonance in thin ferromagnetic film with surface anisotropy

The ferromagnetic resonance frequencies are obtained for a thin ferromagnetic film with surface anisotropy for the cases when the external magnetic field is applied perpendicularly or parallel to the film surface, and for various combinations of boundary conditions on the film surface. It is shown that in the presence of surface anisotropy the ferromagnetic resonance frequency essentially depends both on the film thickness and on the value of the surface anisotropy constant. The results obtained provide a basis for the correct interpretation of experimental data obtained by means of broadband ferromagnetic resonance in thin film structures.

cond-mat.mes-hall↗

arXiv2018

Properties of polycrystalline nanoparticles with uniaxial and cubic types of magnetic anisotropy of individual grains

The influence of the crystal structure inhomogeneities on the magnetic properties of cobalt nanoparticles with different aspect ratio and spherical nanoparticles of chromium dioxide, cobalt ferrite and magnetite has been studied by means of numerical simulation. The polycrystalline nanoparticles are modeled by means of subdivision of the nanoparticle volume into tightly bound single-crystal granules with randomly distributed directions of the easy anisotropy axes. The probability of appearance of quasi uniform and vortex states in sufficiently large assemblies of polycrystalline nanoparticles of various types have been calculated depending on the nanoparticle diameter. It is shown that the subdivision of a nanoparticle into single-crystal granules with different orientations of the easy anisotropy axes substantially reduces the effective single-domain diameters for particles with uniaxial type of anisotropy of individual granules. However, for particles with cubic type of magnetic anisotropy the influence of the crystal structure inhomogeneities on the equilibrium properties of the particles is not so important even for magnetically hard cobalt ferrite nanoparticles. It is practically absent for magnetically soft magnetite nanoparticles.

cond-mat.mes-hall↗

arXiv2017

Magnetic vortices as efficient nano heaters in magnetic nanoparticle hyperthermia

Magnetic vortices existing in soft magnetic nanoparticles with sizes larger than the single-domain diameter can be efficient nano-heaters in biomedical applications. Using micromagnetic numerical simulation we prove that in the optimal range of particle diameters the magnetization reversal of the vortices in spherical iron and magnetite nanoparticles is possible for moderate amplitudes of external alternating magnetic field. In contrast to the case of superparamagnetic nanoparticles, for the vortex configuration the hysteresis loop area increases as a function of frequency. So that high values of the specific absorption rate, on the order of 1 kW/g, can be obtained at a frequency 1.0 MHz. Because the diameter D of a non single-domain particle is several times larger than the diameter d of a superparamagnetic particle, the volume of heat generation for the vortex turns out to be many times larger. This shows the advantage of vortex configurations for heat generation in alternating magnetic field in biomedical applications.

cond-mat.mes-hall↗

arXiv2017

Magnetization reversal of thin ferromagnetic elements with surface anisotropy

The magnetization reversal process in thin-film ferromagnetic elements with surface anisotropy of various shapes and sizes is investigated by means of numerical simulation. The dependence of the perpendicular and in-plane hysteresis loops on the element thickness and the value of the surface anisotropy constant is obtained. For sufficiently large values of the surface anisotropy constant the magnetization reversal of thin-film elements is shown to occur due to the nucleation of the buckling mode. For an elongated rectangular element the nucleation field of the buckling mode is proportional to the absolute value of the surface anisotropy constant, and inversely proportional to the element thickness.

cond-mat.mes-hall↗

arXiv2017

Interaction effects in assembly of magnetic nanoparticles

A specific absorption rate of a dilute assembly of various random clusters of iron oxide nanoparticles in alternating magnetic field has been calculated using Landau- Lifshitz stochastic equation. This approach simultaneously takes into account both the presence of thermal fluctuations of the nanoparticle magnetic moments, and magneto-dipole interaction between the nanoparticles of the clusters. It is shown that for usual 3D clusters the intensity of magneto- dipole interaction is determined mainly by the cluster packing density eta = Np*V/Vcl, where Np is the average number of the particles in the cluster, V is the nanoparticle volume, and Vcl is the cluster volume. The area of the low frequency hysteresis loop and the assembly specific absorption rate have been found to be considerably reduced when the packing density of the clusters increases in the range of 0.005 < eta < 0.4. The dependence of the specific absorption rate on the mean nanoparticle diameter is retained with increase of eta, but becomes less pronounced. For fractal clusters of nanoparticles, which arise in biological media, in addition to considerable reduction of the absorption rate, the absorption maximum is shifted to smaller particle diameters. It is found also that the specific absorption rate of fractal clusters increases appreciably with increase of the thickness of nonmagnetic shells at the nanoparticle surfaces.

cond-mat.mes-hall↗

arXiv2016

Magnetization distribution and domain wall dynamics in nanotube with surface anisotropy

The period of magnetization oscillations that occur near the surface of a nanotube or nanowire under the influence of surface magnetic anisotropy is determined by means of numerical simulation as a function of nanowire geometry and material parameters. The hopping mode is observed for stationary movement of a head-to-head domain wall along nanowire axis in applied magnetic field. The average speed of the domain wall in the hopping mode is found to be several times less than the stationary velocity of the wall in the absence of surface anisotropy.

cond-mat.mes-hall↗

arXiv2016

Universal behavior of dense clusters of magnetic nanoparticles

A detailed numerical simulation of quasistatic hysteresis loops of dense clusters of interacting magnetic nanoparticles is carried out. Both clusters of magnetically soft and magnetically hard nanoparticles are considered. The clusters are characterized by an average particle diameter D, the cluster radius Rc, the particle saturation magnetization Ms, and the uniaxial anisotropy constant K. The number of particles in the cluster varies between Np = 30 - 120. The particle centers are randomly distributed within the cluster, their easy anisotropy axes being randomly oriented. It is shown that a rare assembly of identical random clusters of magnetic nanoparticles can be characterized by two dimensionless parameters: 1) the relative strength of magneto-dipole interaction, K/Ms^2, and the average particle concentration within the cluster, η = VNp/Vc. Here V is the nanoparticle volume, and Vc is the volume of the cluster, respectively. In the strong interaction limit, Ms*η/Ha >> 1, where Ha = 2K/Ms is the anisotropy field, the ultimate hysteresis loops of dilute assemblies of clusters have been constructed. In the variables (M/Ms, H/Ms) these hysteresis loops depend only on the particle volume fraction η. In the weak interaction limit, Ms*η/Ha << 1, the assembly hysteresis loops in the variables (M/Ms, H/Ha) are close to the standard Stoner-Wohlfarth hysteresis loop.

cond-mat.mes-hall↗

arXiv2016

Soliton collisions in soft magnetic nanotube with uniaxial anisotropy

The structure of stable magnetic solitons of various orders in soft magnetic nanotube with uniaxial magnetic anisotropy has been studied using numerical simulation. Solitons of even order are immobile in axially applied magnetic field. Odd solitons show decreased mobility with respect to that of head-to head domain wall. Solitons of various orders can participate in nanotube magnetization reversal process. Various coalescence and decomposition processes in soliton assembly are considered. It is shown that the general magnetization state of magnetic nanotube consists of chains of magnetic solitons of various orders.

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