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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

  3. 1 Landau-Lifshitz equation

  4. 2 Landau-Lifshitz-Gilbert equation

  5. 3 Other equations for the description of magnetization dynamics

  6. 4 Landau-Lifshitz-Gilbert equation in normalized form

  7. Spatially uniform magnetization dynamics

  8. 1 Spatially uniform solutions of LLG-Maxwell equations

  9. 2 Structural aspects of spatially uniform magnetization dynamics

  10. 3 Generalized magnetization dynamics

  11. 4 Analysis of equilibrium points of magnetization dynamics

  12. Precessional magnetization dynamics

  13. 1 Geometric aspects of precessional dynamics

  14. 2 Analytical study of precessional dynamics

  15. 3 Precessional dynamics under transverse magnetic field

  16. 4 Precessional dynamics under longitudinal magnetic field

  17. 5 Hamiltonian structure of precessional dynamics

  18. Dissipative magnetization dynamics

  19. 1 Damping switching in uniaxial media

  20. 2 Two-time-scale formulation of LLG dynamics and averaging technique

  21. 3 Magnetization relaxation under zero applied magnetic field

  22. 4 Magnetization relaxation under applied magnetic fields

  23. 5 Self-oscillations and Poincaré-Melnikov theory

  24. Magnetization switching

  25. 1 Physical mechanisms of precessional switching

  26. 2 Critical fields for precessional switching

  27. 3 Field-pulse duration for precessional switching

  28. 4 Switching under non-rectangular field pulses (inverse-problem approach)

  29. Magnetization dynamics under time-harmonic excitation

  30. 1 LLG dynamics in the presence of rotational invariance

  31. 2 Periodic magnetization modes

  32. 3 Quasi-periodic magnetization modes

  33. 4 Bifurcation diagrams

  34. 5 Nonlinear ferromagnetic resonance, foldover, and switching phenomena

  35. 6 Magnetization dynamics under deviations from rotational symmetry

  36. Spin-waves and parametric instabilities

  37. 1 Linearized LLG equation

  38. 2 Spin-wave perturbations

  39. 3 Stability analysis

  40. 4 Spin-wave instabilities and instability diagrams

  41. 5 Spin-wave perturbations for ultra-thin films

  42. Spin-transfer-driven magnetization dynamics

  43. 1 Spin-transfer modification of LLG equation

  44. 2 Stationary states

  45. 3 Self-oscillations

  46. 4 Phase portraits and bifurcations

  47. 5 Stability diagrams

  48. 6 Systems with uniaxial symmetry

  49. Stochastic magnetization dynamics

  50. 1 Stochastic Landau-Lifshitz and Landau-Lifshitz-Gilbert equations

  51. 2 Fokker-Planck equation for stochastic magnetization dynamics

  52. 3 Analysis of magnetization dynamics by using stochastic processes on graphs

  53. 4 Stationary distributions and thermal transitions

  54. 5 Stochastic magnetization dynamics in uniaxial systems

  55. 6 Autocorrelation function and power spectral density

  56. 7 Stochastic magnetization dynamics in nonuniformly magnetized ferromagnets

  57. Numerical techniques for magnetization dynamics analysis

  58. 1 Mid-point finite-difference schemes

  59. 2 Mid-point finite-difference schemes for stochastic magnetization dynamics

  60. 3 Numerical techniques for nonuniformly magnetized particles

  61. 4 Micromagnetic simulations of magnetization reversal and spin-wave excitation

  62. 5 Micromagnetic simulations of chaotic dynamics


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.


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


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© Elsevier Science 2009
12th December 2008
Elsevier Science
Hardcover ISBN:
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About the Authors

Isaak Mayergoyz

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

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

Affiliations and Expertise

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