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Bounds are developed for the condition number of the linear finite element equations of an anisotropic diffusion problem with arbitrary meshes. They depend on three factors. The first, factor proportional to a power of the number of mesh…

Numerical Analysis · Mathematics 2014-06-23 Lennard Kamenski , Weizhang Huang , Hongguo Xu

We analyze a system composed of itinerant electrons and localized spins with on-site interactions representing the Hund's first rule. Properties of the system are studied rigorously on the infinite square lattice but the configurational…

Strongly Correlated Electrons · Physics 2007-05-23 Romuald Lemanski

Ferromagnetism is typically discussed in terms of the exchange interaction and magnetic anisotropies. Yet real samples are inevitably affected by the magnetostatic dipole-dipole interaction. Because of this interaction, a theorem (R.B.…

Statistical Mechanics · Physics 2025-01-27 D. Pescia , A. Vindigni

Magnetization reversal in permanent magnets occurs by the nucleation and expansion of reversed domains. Micromagnetic theory offers the possibility to localize the spots within the complex structure of the magnet where magnetization…

Materials Science · Physics 2018-05-25 J. Fischbacher , A. Kovacs , L. Exl J. Kühnel , E. Mehofer , H. Sepehri-Amin , T. Ohkubo , K. Hono , T. Schrefl

We develop a new multiscale finite element method for Laplace equation with oscillating Neumann boundary conditions on rough boundaries. The key point is the introduction of a new boundary condition that incorporates both the…

Numerical Analysis · Mathematics 2016-08-12 P. B. Ming , X. Xu

First principles calculations of the O surfaces of Co-ZnO show that substitutional Co ions develop large magnetic moments which long-range coupling depends on their mutual distance. The local spin polarization induced at the O atoms is…

Materials Science · Physics 2009-11-13 N. Sanchez , S. Gallego , M. C. Munoz

We address the dynamics of magnetic domain walls in ferromagnetic nanowires under the influence of external time-dependent magnetic fields. We report a new exact spatiotemporal solution of the Landau-Lifshitz-Gilbert equation for the case…

Materials Science · Physics 2010-04-13 Arseni Goussev , JM Robbins , Valeriy Slastikov

Consider a compact Riemannian manifold with boundary endowed with a magnetic field. A path taken by a particle of unit charge, mass, and energy is called a magnetic geodesic. It is shown that if everything is real-analytic, the topology,…

Differential Geometry · Mathematics 2009-10-23 Pilar Herreros , James Vargo

We give a brief outline of possible neutrino electromagnetic characteristics, which can indicate new physics beyond the Standard Model. Special emphasis is put on recent theoretical development in searches for neutrino magnetic moments.

High Energy Physics - Phenomenology · Physics 2015-06-03 Konstantin A. Kouzakov , Alexander I. Studenikin , Mikhail B. Voloshin

We investigate spin transport in diffusive graphene nanoribbons with both clean and rough zigzag edges, and long-range potential fluctuations. The long-range fields along the ribbon edges cause the local doping to come close to the charge…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 Jan Bundesmann , Ming-Hao Liu , Inanc Adagideli , Klaus Richter

We present compatible finite element space discretizations for the ideal compressible magnetohydrodynamic equations. The magnetic field is considered both in div- and curl-conforming spaces, leading to a strongly or weakly preserved…

Numerical Analysis · Mathematics 2022-10-06 Golo A. Wimmer , Xianzhu Tang

Magnetization switching in highly anisotropic single-domain ferromagnets has been previously shown to be qualitatively described by the droplet theory of metastable decay and simulations of two-dimensional kinetic Ising systems with…

Condensed Matter · Physics 2009-10-28 Howard L. Richards , M. Kolesik , Per-Anker Lindgard , Per Arne Rikvold , M. A. Novotny

To give a general description of the influences of electric fields or currents on magnetization dynamics, we developed a semiclassical theory for the magnetization implicitly coupled to electronic degrees of freedom. In the absence of…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 Bangguo Xiong , Hua Chen , Xiao Li , Qian Niu

We study permalloy nanorings that are lithographically fabricated with narrow gaps that break the rotational symmetry of the ring while retaining the vortex ground state, using both micromagnetic simulations and magnetic force microscopy…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 Jie Li , Sheng Zhang , Chris Grigas , Rajiv Misra , Jason Bartell , Vincent H. Crespi , Peter Schiffer

We complete the analysis initiated in [5] on the micromagnetics of cubic ferromagnets in which the role of magnetostriction is significant. We prove ansatz-free lower bounds for the scaling of the total micromagnetic energy including…

Analysis of PDEs · Mathematics 2020-10-28 Raghavendra Venkatraman , Vivekanand Dabade , Richard D. James

The magnetization characteristic in a permalloy thin strip is investigated by electrically measuring the anisotropic magnetoresistance and ferromagnetic resonance in in-plane and out-of-plane configurations. Our results indicate that the…

Materials Science · Physics 2014-03-05 Ziqian Wang , Guolin Yu , Xinzhi Liu , Bo Zhang , Xiaoshuang Chen , Wei Lu

The coercive field and angular dependence of the coercive field of single-grain Nd$_{2}$Fe$_{14}$B permanent magnets are computed using finite element micromagnetics. It is shown that the thickness of surface defects plays a critical role…

In the following paper, we will study a charged scalar field under an electromagnetic external field taking into account the spatial confining of the system. We shall use the Coleman-Weinberg method in one-loop approximation to obtain the…

High Energy Physics - Theory · Physics 2025-08-25 Emerson B. S. Corrêa , Michelli S. R. Sarges

Exact expressions of the boundary state and the form factors of the Ising model are used to derive differential equations for the one-point functions of the energy and magnetization operators of the model in the presence of a boundary…

High Energy Physics - Theory · Physics 2009-10-28 R. Konik , A. LeClair , G. Mussardo

Transport characteristics of nano-sized superconducting strips and bridges are determined by an intricate interplay of surface and bulk pinning. In the limiting case of a very narrow bridge, the critical current is mostly defined by its…

Superconductivity · Physics 2019-02-08 Gregory J. Kimmel , Andreas Glatz , Valerii M. Vinokur , Ivan A. Sadovskyy