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We study systems containing electrons and nuclei. Based on the fact that the thermodynamic limit exists for systems with Dirichlet boundary conditions, we prove that the same limit is obtained if one imposes other boundary conditions such…

Mathematical Physics · Physics 2007-05-23 David Hasler , Jan Philip Solovej

The modification of the boundary condition for polyelectrolyte adsorption on charged surface with short-ranged interaction is investigated under two regimes. For weakly charged Gaussian polymer in which the short-ranged attraction…

Soft Condensed Matter · Physics 2007-05-23 Chi-Ho Cheng

The non-dissipative relativistic force-free condition should be a good approximation to describe the electromagnetic field in much of the pulsar magnetosphere, but we may plausibly expect it to break down in singular domains.…

Astrophysics · Physics 2009-11-10 Simon P. Goodwin , Jonathan Mestel , Leon Mestel , Geoffrey A. E. Wright

The most general electromagnetic boundary, defined by linear and local boundary conditions, is defined in terms of conditions which can be called generalized impedance boundary conditions. Requiring that the boundary be equivalent to PEC…

Classical Physics · Physics 2016-08-22 Ismo V. Lindell , Ari Sihvola

This paper focuses on the analysis of a free energy functional, that models a dilute suspension of magnetic nanoparticles in a two-dimensional nematic well. The {\it first part} of the article is devoted to the asymptotic analysis of global…

Numerical Analysis · Mathematics 2021-06-24 Ruma Rani Maity , Apala Majumdar , Neela Nataraj

This paper proposes a new method, in the frequency domain, to define absorbing boundary conditions for general two-dimensional problems. The main feature of the method is that it can obtain boundary conditions from the discretized equations…

Classical Physics · Physics 2015-05-14 Denis Duhamel , Tien-Minh Nguyen

Taking into account the coupling between the position of the wall and an internal degree of freedom, namely its phase $\phi$, we examine, in the rigid wall approximation, the dynamics of a magnetic domain wall subject to a weak pinning…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Stewart E. Barnes , Jean-Pierre Eckmann , Thierry Giamarchi

The investigation of a sizable thermal enhancement of magnetization is put forward for uniaxial ferromagnetic nanoparticles that are placed in a rotating magnetic field. We elucidate the nature of this phenomenon and evaluate the resonant…

Statistical Mechanics · Physics 2016-08-16 S. I. Denisov , T. V. Lyutyy , P. Hänggi

The magnetization of a system of many mesoscopic rings under non-equilibrium conditions is considered. The corresponding disorder-averaged current in a ring is shown to be a sum of the `thermodynamic' and `kinetic' contributions both…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. L. Chalaev , V. E. Kravtsov

The Barnett effect refers to the magnetization induced by rotation of a demagnetized ferromagnet. We describe the location and stability of stationary states in rotating nanostructures using the Landau-Lifshitz-Gilbert equation. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Stefan Bretzel , Gerrit E. W. Bauer , Yaroslav Tserkovnyak , Arne Brataas

We derive four reduced two-dimensional models that describe, at different spatial scales, the micromagnetics of ultrathin ferromagnetic materials of finite spatial extent featuring perpendicular magnetic anisotropy and interfacial…

Analysis of PDEs · Mathematics 2024-09-12 G. Di Fratta , C. B. Muratov , V. V. Slastikov

We study the influence of boundaries on chiral effects in hot dense relativistic spinor matter in a strong magnetic field which is transverse to bounding planes. The most general set of boundary conditions ensuring the confinement of matter…

High Energy Physics - Theory · Physics 2016-10-04 Yu. A. Sitenko

The macroscopic current density responsible for the mean magnetization $\mathbf{M}$ of a uniformly magnetized bounded sample is localized near its surface. In order to evaluate $\mathbf{M}$ one needs the current distribution in the whole…

Mesoscale and Nanoscale Physics · Physics 2016-04-05 Antimo Marrazzo , Raffaele Resta

The physical properties of the edge states of the cut two-leg spin ladder are investigated by means of the bosonization approach. By carefully treating boundary conditions, we derive the existence of spin-1/2 edge states in the spin ladder…

Strongly Correlated Electrons · Physics 2009-11-07 P. Lecheminant , E. Orignac

We investigate the ground-state properties of triangular graphene nanoflakes with zigzag edge configurations. The description of zero-dimensional nanostructures requires accurate many-body techniques since the widely used density-functional…

Strongly Correlated Electrons · Physics 2018-01-24 I. Hagymasi , O. Legeza

A combination of experimental techniques, e.g. vector-MOKE magnetometry, Kerr microscopy and polarized neutron reflectometry, was applied to study the field induced evolution of the magnetization distribution over a periodic pattern of…

In magnetized plasma situations where magnetic fields intersect massive conducting boundaries, "line-tied" boundary conditions are often used, analytically and in numerical simulations. For ideal MHD plasmas, these conditions are arrived at…

Plasma Physics · Physics 2019-04-10 A. B. Hassam , Yi-Min Huang

We investigate many-body effects near the edge of a single-walled carbon nanotube and find it turns magnetic with quantized edge moment solely depends on the chiral vector, i.e. the topology of the carbon nanotube. The distribution of the…

Mesoscale and Nanoscale Physics · Physics 2010-07-08 Horng-Tay Jeng , Masaki Oshikawa , Hsiu-Hau Lin

Nanomagnetism concerns the engineering of magnetic interactions in heterostructures that consist of layers of magnetic and non-magnetic materials. Mostly, these interactions are dominated by the minimization of energy. Here, we propose an…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 William Huddie , Laura Filion , Marjolein Dijkstra , Rembert Duine

We prove that the magnetization is equal to the edge current in the thermodynamic limit for a large class of models of lattice fermions with finite-range interactions satisfying local indistinguishability of the Gibbs state, a condition…

Mathematical Physics · Physics 2024-12-03 Jonas Lampart , Massimo Moscolari , Stefan Teufel , Tom Wessel