The multiresolution analysis (MRA) strategy for the reduction of a diierential equation is a procedure for extracting the eeective equation for the average or for the coarse scale behavior of the solution. We brieey review the MRA reduction procedure for nonlinear diierential equations of Beylkin, Brewster, and Gilbert. We apply the MRA reduction methods to a reaction-diiusion model of composit...

We propose a mechanism to pin skyrmions in chiral magnetic thin films by introducing local maxima of magnetic exchange strength as pinning centers. The local maxima can be realized by engineering the local density of itinerant electrons. The stationary properties and the dynamical pinning and depinning processes of an isolated skyrmion around a pinning center are studied. We carry out numerical...

We predict two physical effects in arrays of single-domain nanomagnets by performing simulations using a realistic model Hamiltonian and physical parameters. First, we find hysteretic multicycles for such nanomagnets. The simulation uses continuous spin dynamics through the Landau-Lifshitz-Gilbert (LLG) equation. In some regions of parameter space, the probability of finding a multicycle is as ...

A quantum mechanical model is used to derive a generalized LandauLifshitz equation for a magnetic moment, including fluctuations and dissipation. The model reproduces the Gilbert-Brown form of the equation in the classical limit. The magnetic moment is linearly coupled to a reservoir of bosonic degrees of freedom. Use of generalized coherent states makes the semiclassical limit more transparent...

Background—Patients with Gilbert syndrome have mild unconjugated hyperbilirubinemia. It has been shown that bilirubin is an endogenous antioxidant. We evaluated the role of oxidative stress in endothelial function in patients with Gilbert syndrome under normal conditions without cardiovascular risk factors. Methods and Results—A total of 108 young men with Gilbert syndrome without cardiovascula...

The Landau–Lifshitz–Baryakhtar (LLBar) equation is a generalisation of the Landau–Lifshitz–Gilbert and Landau–Lifshitz–Bloch equations which takes into account contributions from nonlocal damping valid at moderate temperature below Curie temperature. Therefore, it used to explain some discrepancies between experimental observations known theories in various problems on magnonics magnetic domain...

In magnetic films driven by spin-polarized currents, the perpendicular-to-plane anisotropy is equivalent to breaking time translation symmetry, i.e., a parametric pumping. this work, we numerically study those current-driven magnets via Landau–Lifshitz–Gilbert–Slonczewski equation in one spatial dimension. We consider space-dependent field parametric-like regime. The profile antisymmetric middl...