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Nanoparticle agglomeration in a quiescent fluid is simulated by solving the Langevin equations of motion of a set of interacting monomers in the continuum regime. Monomers interact via a radial, rapidly decaying intermonomer potential. The…

Statistical Mechanics · Physics 2010-08-13 Lorenzo Isella , Yannis Drossinos

We study the Langevin dynamics of diffusive particles with regular pairwise interactions under mean-field scaling. By approximating empirical distributions with conditional distributions, we establish coercive and contractive properties for…

Probability · Mathematics 2026-05-28 Songbo Wang

Equilibrium magnetization curve of a rigid finite-size spherical cluster of single-domain particles is investigated both numerically and analytically. The spatial distribution of particles within the cluster is random. Dipole-dipole…

Mesoscale and Nanoscale Physics · Physics 2018-10-15 Andrey A. Kuznetsov

We investigate the effect of anisotropy and weak dipolar interactions on the magnetization of an assembly of nanoparticles with distributed magnetic moments, i.e., assembly of magnetic nanoparticles in the one-spin approximation, with…

Statistical Mechanics · Physics 2009-11-11 H. Kachkachi , M. Azeggagh

Langevin dynamics is used to study equilibrium properties of the suspension of magnetic filaments (chains of nanoparticles permanently crosslinked with polymers). It is shown that the filament suspension generally has a larger magnetic…

Soft Condensed Matter · Physics 2018-11-20 Andrey A. Kuznetsov

We study the dynamics of a suspension of magnetic nanoparticles. Their relaxation times are strongly size-dependent. The dominant mode of relaxation is also governed by the size of the particles. As a result the dynamics is greatly altered…

Soft Condensed Matter · Physics 2012-08-21 Vanchna Singh , Varsha Banerjee , Manish Sharma

The dipole strength of magnetic particles in a suspension is obtained by a graphical rectification of the magnetization curves based on the inverse Langevin function. The method yields the arithmetic and the harmonic mean of the particle…

Soft Condensed Matter · Physics 2022-04-01 Ingo Rehberg , Reinhard Richter , Stefan Hartung , Niklas Lucht , Birgit Hankiewicz , Thomas Friedrich

Magnetic nanoparticles are useful in many medical applications because they interact with biology on a cellular level thus allowing microenvironmental investigation. An enhanced understanding of the dynamics of magnetic particles may lead…

Mesoscale and Nanoscale Physics · Physics 2014-03-26 Daniel B Reeves , John B Weaver

We have experimentally investigated field induced aggregation of nonmagnetic particles confined in a magnetic fluid layer when rotating magnetic fields were applied. After application of a magnetic field rotating in the plane of the fluid…

Soft Condensed Matter · Physics 2009-11-13 Jozef Černák , Geir Helgesen

We investigate in detail the initial susceptibility, magnetization curves, and microstructure of ferrofluids in various concentration and particle dipole moment ranges by means of molecular dynamics simulations. We use the Ewald summation…

Soft Condensed Matter · Physics 2016-08-16 Zuowei Wang , Christian Holm , Hanns Walter Müller

We present a comprehensive model to account for the behavior of suspended nanoparticles under magnetohydrodynamic conditions. The Lorentz force not only drags nanoparticle flocs toward the walls reducing the distance between flocs resulting…

For superparamagnetic nanoparticles (SMNPs), it is often claimed that the rapid thermal fluctuations of their magnetic moments negates the magnetic dipolar attraction, hence preventing aggregation in liquid suspension. However we find that…

Soft Condensed Matter · Physics 2024-10-23 Frederik L. Durhuus , Marco Beleggia , Cathrine Frandsen

We establish a general Langevin Dynamics model of interacting, single-domain magnetic nanoparticles in liquid suspension at finite temperature. The model couples the LLG equation for the moment dynamics with the mechanical rotation and…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Frederik L. Durhuus , Marco Beleggia , Cathrine Frandsen

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…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 N. A. Usov , O. N. Serebryakova

We report a Monte Carlo simulation of deposition of magnetic particles on a one-dimensional substrate. Incoming particles interact with those that are already part of the deposit via a dipole-dipole potential. The strength of the dipolar…

Condensed Matter · Physics 2009-11-10 F. de los Santos , M. Tasinkevych , J. M. Tavares , P. I. C. Teixeira

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…

Mesoscale and Nanoscale Physics · Physics 2018-01-08 N. A. Usov , O. N. Serebryakova , V. P. Tarasov

In this paper, we study the formation of clusters for stochastic interacting particle systems (SIPS) that interact through short-range attractive potentials in a periodic domain. We consider kinetic (underdamped) Langevin dynamics and focus…

Numerical Analysis · Mathematics 2025-10-30 Benedict Leimkuhler , René Lohmann , Grigorios A. Pavliotis , Peter A. Whalley

Experiments on magnetic nanoparticles in a viscous medium have shown that agglomerates form that display complex shapes. However, most theoretical results predict more simple, ordered shapes, such as single-particle width chains. To account…

Soft Condensed Matter · Physics 2017-03-08 N. R. Anderson , D. R. Louie , D. Serantes , K. L. Livesey

Using Langevin dynamics simulations, we investigate the self-assembly of magnetic nanogels in the presence of applied magneticfields of moderate strength. We find that even weak fields lead to drastic changes in the structure factors of…

Soft Condensed Matter · Physics 2022-10-26 Ivan S. Novikau , Pedro A. Sánchez , Sofia S. Kantorovich

The magnetic relaxation and hysteresis of a system of single domain particles with dipolar interactions are studied by Monte Carlo simulations. We model the system by a chain of Heisenberg classical spins with randomly oriented easy-axis…

Materials Science · Physics 2007-05-23 Oscar Iglesias , Amilcar Labarta
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