Nonlinear Magnetization Dynamics in Nanosystems - 1st Edition - ISBN: 9780080443164, 9780080913797

Nonlinear Magnetization Dynamics in Nanosystems

1st Edition

Authors: Isaak Mayergoyz Giorgio Bertotti Claudio Serpico
Hardcover ISBN: 9780080443164
eBook ISBN: 9780080913797
Imprint: Elsevier Science
Published Date: 12th December 2008
Page Count: 480
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Table of 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 Poincaré-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


Description

  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 Poincaré-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

Readership

Graduate students, applied engineers and researchers in electromagnetism, magnetic materials, magnetic recording and microwave materials


Details

No. of pages:
480
Language:
English
Copyright:
© Elsevier Science 2009
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080913797
Hardcover ISBN:
9780080443164

About the Authors

Isaak Mayergoyz Author

Prof. Mayergoyz received his Master and Ph.D. degrees in the former Soviet Union where he worked as a senior research scientist in the Institute of Cybernetics of Ukranian Academy of Sciences before his emigration to the United States. On his arrival to the United States in 1980, he became a full professor of Electrical and Computer Engineering Department of University of Maryland, College Park. He served as a consultant for many years for the Research and Development Center of General Electric Company and has been selected as a visiting research fellow of this center. He has published more than 300 scientific papers and patents as well as eight scientific books. He has been recognized by many awards at the University of Maryland and at the Magnetics Society of IEEE. He is a recognized authority in magnetics which is the area of this book.

Affiliations and Expertise

University of Maryland, ECE Department, College Park, USA

Giorgio Bertotti Author

Giorgio Bertotti is a senior scientist at INRIM, Istituto Nazionale di Ricerca Metrologica (previously known as IEN Galileo Ferraris), in Torino, Italy, where he has been a researcher since 1979. His research interests are in the field of magnetism and magnetic materials, hysteresis modeling, thermodynamics, noise phenomena. He is author of more than 200 scientific articles and of the book "Hysteresis in Magnetism".

Affiliations and Expertise

INRIM - Istituto Nazionale di Ricerca Metrologica, Italy

Claudio Serpico Author

Affiliations and Expertise

Electrical Engineering, University of Naples 'Federico II', Italy