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| NONLINEAR MAGNETIZATION DYNAMICS IN NANOSYSTEMS
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By
Isaak Mayergoyz, University of Maryland, ECE Department, College Park, USA
Giorgio Bertotti, INRIM - Istituto Nazionale di Ricerca Metrologica, Italy
Claudio Serpico, Electrical Engineering, University of Naples 'Federico II', Italy
Included in series
Elsevier Series in Electromagnetism,
Description
As data transfer rates increase within the magnetic recording industry, improvements in device performance and reliability crucially depend
on the thorough understanding of nonlinear magnetization dynamics at a sub-nanoscale level.
This book offers a modern, stimulating
approach to the subject of nonlinear magnetization dynamics by discussing important aspects such as the Landau-Lifshitz-Gilbert (LLG)
equation, analytical solutions, and the connection between the general topological and structural aspects of dynamics.
An advanced
reference for the study and understanding of nonlinear magnetization dynamics, it addresses situations such as the understanding of spin
dynamics in short time scales and device performance and reliability in magnetic recording. Topics covered include nonlinear magnetization
dynamics and the Landau-Lifshitz-Gilbert equation, nonlinear dynamical systems, spin waves, ferromagnetic resonance and pulsed magnetization
switching.
The book explains how to derive exact analytical solutions for the complete nonlinear problem and emphasises the connection
between the general topological and structural aspects of nonlinear magnetization dynamics and the discretization schemes better suited
to its numerical study. It is an exceptional research tool providing an advanced understanding of the study of magnetization dynamics
in situations of fundamental and technological interest.
Audience
Graduate students, applied engineers and researchers in electromagnetism, magnetic materials, magnetic recording and microwave materials
Contents
1. Introduction
2. Basic equations for magnetization dynamics
2.1 Landau-Lifshitz equation
2.2 Landau-Lifshitz-Gilbert equation
2.3
Other equations for the description of magnetization dynamics
2.4 Landau-Lifshitz-Gilbert equation in normalized form
3. Spatially
uniform magnetization dynamics
3.1 Spatially uniform solutions of LLG-Maxwell equations
3.2 Structural aspects of spatially uniform
magnetization dynamics
3.3 Generalized magnetization dynamics
3.4 Analysis of equilibrium points of magnetization dynamics
4. Precessional
magnetization dynamics
4.1 Geometric aspects of precessional dynamics
4.2 Analytical study of precessional dynamics
4.3 Precessional
dynamics under transverse magnetic field
4.4 Precessional dynamics under longitudinal magnetic field
4.5 Hamiltonian structure of precessional
dynamics
5. Dissipative magnetization dynamics
5.1 Damping switching in uniaxial media
5.2 Two-time-scale formulation of LLG dynamics
and averaging technique
5.3 Magnetization relaxation under zero applied magnetic field
5.4 Magnetization relaxation under applied magnetic
fields
5.5 Self-oscillations and Poincar -Melnikov theory
6. Magnetization switching
6.1 Physical mechanisms of precessional switching
6.2 Critical fields for precessional switching
6.3 Field-pulse duration for precessional switching
6.4 Switching under non-rectangular
field pulses (inverse-problem approach)
7. Magnetization dynamics under time-harmonic excitation
7.1 LLG dynamics in the presence of
rotational invariance
7.2 Periodic magnetization modes
7.3 Quasi-periodic magnetization modes
7.4 Bifurcation diagrams
7.5 Nonlinear
ferromagnetic resonance, foldover, and switching phenomena
7.6 Magnetization dynamics under deviations from rotational symmetry
8.
Spin-waves and parametric instabilities
8.1 Linearized LLG equation
8.2 Spin-wave perturbations
8.3 Stability analysis
8.4 Spin-wave
instabilities and instability diagrams
8.5 Spin-wave perturbations for ultra-thin films
9. Spin-transfer-driven magnetization dynamics
9.1 Spin-transfer modification of LLG equation
9.2 Stationary states
9.3 Self-oscillations
9.4 Phase portraits and bifurcations
9.5
Stability diagrams
9.6 Systems with uniaxial symmetry
10. Stochastic magnetization dynamics
10.1 Stochastic Landau-Lifshitz and Landau-Lifshitz-Gilbert
equations
10.2 Fokker-Planck equation for stochastic magnetization dynamics
10.3 Analysis of magnetization dynamics by using stochastic
processes on graphs
10.4 Stationary distributions and thermal transitions
10.5 Stochastic magnetization dynamics in uniaxial systems
10.6 Autocorrelation function and power spectral density
10.7 Stochastic magnetization dynamics in nonuniformly magnetized ferromagnets
11. Numerical techniques for magnetization dynamics analysis
11.1 Mid-point finite-difference schemes
11.2 Mid-point finite-difference
schemes for stochastic magnetization dynamics
11.3 Numerical techniques for nonuniformly magnetized particles
11.4 Micromagnetic simulations
of magnetization reversal and spin-wave excitation
11.5 Micromagnetic simulations of chaotic dynamics
| Bibliographic details |
Hardbound, 480 pages, publication date: DEC-2008
ISBN-13: 978-0-08-044316-4
ISBN-10: 0-08-044316-8
Imprint: ELSEVIER
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| Price and Ordering |
Price:
EUR 93.95
USD 125
GBP 80
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Last update: 25 Nov 2009
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