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We study quantum transport and scattering of massless Dirac fermions by spatially localized static magnetic fields. The employed model describes in a unified manner the effects of orbital magnetic fields, Zeeman and exchange fields in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 A. Zazunov , A. Kundu , A. Hütten , R. Egger

The self-similar asymptotics for solutions to the drift-diffusion equation with fractional dissipation, coupled to the Poisson equation, is analyzed in the whole space. It is shown that in the subcritical and supercritical cases, the…

Analysis of PDEs · Mathematics 2018-03-01 Franz Achleitner , Ansgar Jüngel , Masakazu Yamamoto

We theoretically investigate the itinerant ferromagnetic transition of a spherically trapped ultracold Fermi gas with spin imbalance under strongly repulsive interatomic interactions. Our study is based on a self-consistent solution of the…

Quantum Gases · Physics 2010-08-25 H Dong , Hui Hu , Xia-Ji Liu , Peter D. Drummond

A general method of solving the drift kinetic equation is developed for an axisymmetric magnetic field. Expanding a distribution function in general moments a set of ordinary differential equations are obtained. Successively expanding the…

Plasma Physics · Physics 2023-04-11 Jeong-Young Ji , Eric D. Held , J. Andrew Spencer , Yong-Su Na

The deterministic rotation of a ferromagnetic nanoparticle in a fluid is considered. The heating arising from viscous friction of a nanoparticle driven by circularly and linearly polarized alternating magnetic fields is investigated. Since…

Applied Physics · Physics 2018-12-11 T. V. Lyutyy

We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of…

Soft Condensed Matter · Physics 2014-09-19 M. Reza Shaebani , Zeinab Sadjadi , Igor M. Sokolov , Heiko Rieger , Ludger Santen

We adapt a finite difference method of solution of the two-dimensional massless Dirac equation, developed in the context of lattice gauge theory, to the calculation of electrical conduction in a graphene sheet or on the surface of a…

Mesoscale and Nanoscale Physics · Physics 2009-01-02 J. Tworzydlo , C. W. Groth , C. W. J. Beenakker

We derive equations of motion for paramagnetic and ferromagnetic particles fully accounting for gyromagnetic effects. Considering the Einstein-de Haas effect for an ellipsoidal paramagnetic particle we find that starting from a quiescent…

Soft Condensed Matter · Physics 2023-10-24 M. Belovs , R. Livanovics , A. Cebers

We address the theory of the coupled lattice and magnetization dynamics of freely suspended single-domain nanoparticles. Magnetic anisotropy generates low-frequency satellite peaks in the microwave absorption spectrum and a blueshift of the…

Mesoscale and Nanoscale Physics · Physics 2017-05-01 Hedyeh Keshtgar , Simon Streib , Akashdeep Kamra , Yaroslav M. Blanter , Gerrit E. W. Bauer

We study systems of classical magnetic dipoles on simple cubic lattices with dipolar and antiferromagnetic exchange interactions. By analysis and Monte Carlo (MC) simulations, we find how the antiferromagnetic phases vary with uniaxial and…

Statistical Mechanics · Physics 2007-05-23 J. F. Fernandez , J. J. Alonso

We present a derivation of a recently proposed theory for the time dependence of density fluctuations in stationary states of strongly interacting, athermal, self-propelled particles. The derivation consists of two steps. First, we start…

Soft Condensed Matter · Physics 2016-01-13 Grzegorz Szamel

The steady-state simplified $P_N$ approximation to the radiative transport equation has been successfully applied to many problems involving radiation. Recently, time-dependent simplified $P_N$ equations have been derived by an asymptotic…

Computational Physics · Physics 2012-05-07 Martin Frank , Jens Lang , Matthias Schaefer

A system of drift-diffusion equations with electric field under Dirichlet boundary conditions is analyzed. The system of strongly coupled parabolic equations for particle density and spin density vector describes the spin-polarized…

Analysis of PDEs · Mathematics 2014-02-26 Nicola Zamponi

The effect of long range dipole-dipole interactions on the thermal fluctuations of the magnetization of an assembly of single-domain ferromagnetic particles is considered. If orientational correlations between the particles are neglected,…

Statistical Mechanics · Physics 2019-02-05 Pierre-Michel Déjardin

We study the electromagnetic field scattered by a metallic nanoparticle with dispersive material parameters in a resonant regime. We consider the particle placed in a homogeneous medium in a low-frequency regime. We define modes for the…

Mathematical Physics · Physics 2021-02-11 Lorenzo Baldassari , Pierre Millien , Alice L. Vanel

We study the deterministic and stochastic rotational dynamics of ferromagnetic nanoparticles in a precessing magnetic field. Our approach is based on the system of effective Langevin equations and on the corresponding Fokker-Planck…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 T. V. Lyutyy , S. I. Denisov , V. V. Reva , Yu. S. Bystrik

We investigate the itinerant ferromagnetism using a diluted spin-fermion model, derived from a repulsive Hubbard model, where itinerant fermions are coupled antiferromagnetically to auxiliary fields in a three-dimensional simple cubic…

Strongly Correlated Electrons · Physics 2022-01-31 Sourav Chakraborty , Sandip Halder , Kalpataru Pradhan

A new theory for the dynamics of the magnetic particles and their magnetic moments in ferrofluids is developed. Based on a generalized Lagrangian formulation for the equations of motion of the colloidal particle, we introduce its…

Statistical Mechanics · Physics 2007-05-23 Claudio Scherer , Hans-Georg Matuttis

In the present work, we revisit the topic of translational eigenmodes in discrete models. We focus on the prototypical example of the discrete nonlinear Schr{\"o}dinger equation, although the methodology presented is quite general. We…

Pattern Formation and Solitons · Physics 2025-01-16 C. J. Lustri , P. G. Kevrekidis , S. J. Chapman

Antiferromagnetic (AFM) materials with zero or vanishingly small macroscopic magnetization are nowadays the constituent elements of spintronic devices. However, possibility to use them as active elements that show nontrivial controllable…

Materials Science · Physics 2013-05-30 Helen V. Gomonay , Roman Kunitsyn , Vadim M. Loktev