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We report a theoretical study of light diffraction by a spherical magnetic particle with a vortex magnetization distribution. It is shown that the intensity of the diffracted light involves a non-reciprocal contribution. This contribution…

Optics · Physics 2015-06-12 Evgeny Karashtin

Confocal microscopy in combination with real-space particle tracking has proven to be a powerful tool in scientific fields such as soft matter physics, materials science and cell biology. However, 3D tracking of anisotropic particles in…

Soft Condensed Matter · Physics 2015-05-20 T. H. Besseling , M. Hermes , A. Kuijk , B. de Nijs , T. -S. Deng , M. Dijkstra , A. Imhof , A. van Blaaderen

We study the effect of an elliptically polarized magnetic field on a system of non-interacting, single-domain ferromagnetic nanoparticles characterized by a uniform distribution of easy axis directions. Our main goal is to determine the…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 S. I. Denisov , T. V. Lyutyy , B. O. Pedchenko , O. M. Hryshko

According to the classical laws of magnetism, the shape of magnetically soft objects limits the effective susceptibility. For example, spherical soft magnets cannot display an effective susceptibility larger than 3. Although this is true…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Mathias Zambach , Miriam Varón , Mads R. Almind , Matti Knaapila , Ziwei Ouyang , Marco Beleggia , Cathrine Frandsen

Minimizing a convex function of a measure with a sparsity-inducing penalty is a typical problem arising, e.g., in sparse spikes deconvolution or two-layer neural networks training. We show that this problem can be solved by discretizing the…

Optimization and Control · Mathematics 2020-11-04 Lenaic Chizat

Magnetization of soft-ferromagnetic nano- and microtubes of nanometer-thin walls (a single-widening rolled-up nanomembranes) is theoretically studied using analytical and numerical approaches including different stress-induced anisotropies.…

Mesoscale and Nanoscale Physics · Physics 2016-09-12 Andrzej Janutka

We investigate one-dimensional periodic chains of alternate type of particles interacting through mirror symmetric potentials. The optimality of the equidistant configuration at fixed density -- also called crystallization -- is shown in…

Optimization and Control · Mathematics 2020-07-13 Laurent Bétermin , Hans Knüpfer , Florian Nolte

FePt nanoparticles are known to exhibit reduced L1$_0$ order with decreasing particle size. The reduction in order reduces the magnetic anisotropy and the thermal stability of the direction of magnetization of the particle. The phenomenon…

Mesoscale and Nanoscale Physics · Physics 2009-11-18 Roman V. Chepulskii , W. H. Butler , A. van de Walle , Stefano Curtarolo

Magnetic and NMR relaxivity properties of {\gamma}-Fe2O3 nanoparticles embedded into the walls of polyelectrolyte multilayer capsules and freely dispersed in a sodium borate buffer solution have been investigated. The different geometric…

Analytical solution has been found for the second-order effective anisotropy of magnetic nanoparticles of a cubic shape due to the surface anisotropy (SA) of the N\'eel type. Similarly to the spherical particles, for the simple cubic…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 D. A. Garanin

We present a microscopic theory for magnetization relaxation in metallic ferromagnets of nanoscopic dimensions that is based on the dynamic spin response matrix in the presence of spin-orbit coupling. Our approach allows the calculation of…

Mesoscale and Nanoscale Physics · Physics 2015-02-10 A. T. Costa , R. B. Muniz

The temperature dependence of magnetization in ferromagnetic nanostructures (e.g., nanoparticles or nanoclusters) is usually analyzed by means of an empirical extension of the Bloch law sufficiently flexible for a good fitting to the…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 S. Cojocaru , A. Naddeo , R. Citro

The half antivortex, a fundamental topological structure which determines magnetization reversal of submicron magnetic devices with domain walls, has been suggested also to play a crucial role in spin torque induced vortex core reversal in…

Mesoscale and Nanoscale Physics · Physics 2015-01-23 Antonio Lara , Oleksandr V. Dobrovolskiy , José L. Prieto , Michael Huth , Farkhad G. Aliev

Recent thermodynamic measurements on two-dimensional (2D) electron systems have found diverging behavior in the magnetic susceptibility and appearance of ferromagnetism with decreasing electron density. The critical densities for these…

Strongly Correlated Electrons · Physics 2007-05-23 S. M. Fazeli , K. Esfarjani , B. Tanatar

We report a finite temperature micromagnetic method (FTM) that allows for the calculation of the coercive field of arbitrary shaped magnetic nanostructures at time scales of nanoseconds to years. Instead of directly solving the…

Materials Science · Physics 2015-06-03 D. Suess , L. Breth , J. Lee , M. Fuger , C. Vogler , F. Bruckner , B. Bergmair , T. Huber , J. Fidler , T. Schrefl

We investigate the large time behavior of $N$ particles restricted to a smooth closed curve in $\mathbb{R}^d$ and subject to a gradient flow with respect to Euclidean hyper-singular repulsive Riesz $s$-energy with $s>1.$ We show that…

Dynamical Systems · Mathematics 2020-10-13 Douglas Hardin , Edward B. Saff , Ruiwen Shu , Eitan Tadmor

The magnetic relaxation processes in disordered two-dimensional ensembles of dipole-coupled magnetic nanoparticles are theoretically investigated by performing numerical simulations. The energy landscape of the system is explored by…

Materials Science · Physics 2009-11-13 G. M. Pastor , P. J. Jensen

The performance characteristics of magnetic nanoparticles towards application, e.g. in medicine, imaging, or as sensors, is directly determined by their magnetization relaxation and total magnetic moment. In the commonly assumed picture,…

We consider the numerical approximation of a continuum model of antiferromagnetic and ferrimagnetic materials. The state of the material is described in terms of two unit-length vector fields, which can be interpreted as the magnetizations…

Numerical Analysis · Mathematics 2023-12-11 Hywel Normington , Michele Ruggeri

We investigate the electromagnetic properties of assemblies of nanoscale $\epsilon$-cobalt crystals with size range between 5 nm to 35 nm, embedded in a polystyrene (PS) matrix, at microwave (1-12 GHz) frequencies. We investigate the…

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