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.
Author(s): Isaak D. Mayergoyz, Giorgio Bertotti, Claudio Serpico
Series: Elsevier series in electromagnetism
Publisher: Elsevier
Year: 2009
Language: English
Pages: 464
City: Amsterdam; Boston
Tags: Специальные дисциплины;Наноматериалы и нанотехнологии;Физика наноразмерных систем;Магнитные свойства наноструктур;
Cover Page
......Page 1
Copyright page......Page 2
Preface......Page 3
Introduction......Page 4
Landau--Lifshitz equation......Page 23
Landau--Lifshitz--Gilbert equation......Page 29
Other equations for the description of magnetization dynamics......Page 31
Landau--Lifshitz--Gilbert equation in normalized form......Page 33
Spatially Uniform Solutions of LLG--Maxwell Equations......Page 37
Structural Aspects of Spatially Uniform Magnetization Dynamics......Page 43
Generalized Magnetization Dynamics......Page 46
Analysis of Equilibrium Points of Magnetization Dynamics......Page 53
Geometric Aspects of Precessional Dynamics......Page 59
Analytical Study of Precessional Dynamics......Page 65
Precessional Dynamics under Transverse Magnetic Field......Page 73
Precessional Dynamics under Longitudinal Magnetic Field......Page 80
Hamiltonian Structure of Precessional Dynamics......Page 87
Damping Switching in Uniaxial Media......Page 92
Two-Time-Scale Formulation of LLG Dynamics and Averaging Technique......Page 101
Magnetization Relaxation under Zero Applied Magnetic Field......Page 106
Magnetization Relaxation under Applied Magnetic Fields......Page 109
Self-Oscillations and Poincaré--Melnikov Theory......Page 116
Physical Mechanisms of Precessional Switching......Page 128
Critical Fields for Precessional Switching......Page 132
Field-Pulse Duration for Precessional Switching......Page 139
Switching under Nonrectangular Field Pulses (Inverse-Problem Approach)......Page 145
LLG Dynamics in the Presence of Rotational Invariance......Page 154
Periodic Magnetization Modes......Page 158
Quasi-Periodic Magnetization Modes......Page 168
Bifurcation Diagrams......Page 172
Nonlinear Ferromagnetic Resonance, Foldover, and Switching Phenomena......Page 180
Magnetization Dynamics under Deviations from Rotational Symmetry......Page 187
Linearized LLG Equation......Page 194
Spin-Wave Perturbations......Page 203
Stability Analysis......Page 211
Spin-Wave Instabilities and Instability Diagrams......Page 218
Spin-Wave Perturbations for Ultra-Thin Films......Page 227
Spin-Transfer Modification of the LLG Equation......Page 233
Stationary States......Page 239
Self-Oscillations......Page 242
Phase Portraits and Bifurcations......Page 246
Stability Diagrams......Page 254
Systems with Uniaxial Symmetry......Page 261
Stochastic Landau--Lifshitz and Landau--Lifshitz--Gilbert Equations......Page 271
Fokker--Planck Equation for Stochastic Magnetization Dynamics......Page 283
Analysis of Magnetization Dynamics by using Stochastic Processes on Graphs......Page 300
Stationary Distributions and Thermal Transitions......Page 313
Stochastic Magnetization Dynamics in Uniaxial Systems......Page 327
Autocorrelation Function and Power Spectral Density......Page 334
Stochastic Magnetization Dynamics in Nonuniformly Magnetized Ferromagnets......Page 345
Mid-Point Finite-Difference Schemes......Page 358
Mid-Point Finite-Difference Schemes for Stochastic Magnetization Dynamics......Page 366
Numerical Techniques for Nonuniformly Magnetized Particles......Page 372
Micromagnetic Simulations of Magnetization Reversal and Spin-Wave Excitation......Page 384
Micromagnetic Simulations of Chaotic Dynamics......Page 394
References......Page 400
Index......Page 445
