Lagrangian formulation of the linear autonomous magnetization dynamics in spin-torque auto-oscillators

DOI10.1016/j.amc.2011.02.043zbMath1219.78017OpenAlexW2092965759WikidataQ61624170 ScholiaQ61624170MaRDI QIDQ545962

L. Giovannini, Roberto Zivieri, Giorgio Gubbiotti, Giancarlo Consolo

Publication date: 24 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.043

zbMATH Keywords

Landau-Lifshitz-Gilbert equationmicromagneticsLagrange equationsauto-oscillatorsautonomous dynamicscomplex generalized non-Hermitian eigenproblemRayleigh dissipation functionspin-transfer torque

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25)

Related Items (4)

Onset of linear instability driven by electric currents in magnetic systems: a Lagrangian approach ⋮ Tensor representation of magnetostriction for all crystal classes ⋮ Curved domain walls dynamics driven by magnetic field and electric current in hard ferromagnets ⋮ Mathematical modeling and numerical simulation of domain wall motion in magnetic nanostrips with crystallographic defects

Uses Software

• OOMMF

Cites Work

• Unnamed Item
• A novel formulation for the numerical computation of magnetization modes in complex micromagnetic systems
• The nonlinear stability of a heavy rigid plate supported by flexible columns
• A numerical scheme for a Maxwell--Landau--Lifshitz--Gilbert system
• The excitations of the symplectic integrable models and their applications

This page was built for publication: Lagrangian formulation of the linear autonomous magnetization dynamics in spin-torque auto-oscillators