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Oscillations of Disks

  • Book
  • © 2016

Overview

Authors:
  1. Shoji Kato

    1. Emeritus professor, Department of Astronomy, Kyoto University , Kyoto, Japan

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  • Explains the current state of disk-oscillation theory, providing a potentially important tool to accurately determine spins of black hole sources in the universe
  • Clarifies our current understanding of discoseismology as it becomes more important in future in elucidating the structure and evolution of astrophysical disks
  • Describes quasi-periodic oscillations in X-ray binaries, superhumps in dwarf novae, and long-term variations in Be stars and Be/X-ray binaries

Part of the book series: Astrophysics and Space Science Library (ASSL, volume 437)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xv
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  2. Basic Properties and Disk Oscillations

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Shoji Kato
      Pages 3-25

    3. Basic Quantities Related to Disk Oscillations

      • Shoji Kato
      Pages 27-44

    4. Derivation of Linear Wave Equations and Wave Energy

      • Shoji Kato
      Pages 45-58

    5. Vertical Oscillations

      • Shoji Kato
      Pages 59-69

    6. Disk Oscillations in Radial Direction

      • Shoji Kato
      Pages 71-81

    7. Classification of Oscillations and Their Characteristics

      • Shoji Kato
      Pages 83-95

    8. Frequencies of Trapped Oscillations and Application

      • Shoji Kato
      Pages 97-116

    9. Two Examples of Further Studies on Trapped Oscillations and Application

      • Shoji Kato
      Pages 117-146

  3. Excitation Processes of Disk Oscillations

    1. Front Matter

      Pages 147-147
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    2. Overstability of Oscillations by Viscosity

      • Shoji Kato
      Pages 149-164

    3. Corotation Instability

      • Shoji Kato
      Pages 165-180

    4. Wave-Wave Resonant Instability in Deformed Disks

      • Shoji Kato
      Pages 181-199

    5. Wave-Wave Resonant Instability in Deformed Disks: Applications

      • Shoji Kato
      Pages 201-224

    6. Sonic Point Instability and Stochastic Excitation of Oscillations by Turbulence

      • Shoji Kato
      Pages 225-239

  4. Back Matter

    Pages 241-261
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Keywords

About this book

This book presents the current state of research on disk oscillation theory, focusing on relativistic disks and tidally deformed disks. Since the launch of the Rossi X-ray Timing Explorer (RXTE) in 1996, many high-frequency quasiperiodic oscillations (HFQPOs) have been observed in X-ray binaries. Subsequently, similar quasi-periodic oscillations have been found in such relativistic objects as microquasars, ultra-luminous X-ray sources, and galactic nuclei. One of the most promising explanations of their origin is based on oscillations in relativistic disks, and a new field called discoseismology is currently developing. After reviewing observational aspects, the book presents the basic characteristics of disk oscillations, especially focusing on those in relativistic disks. Relativistic disks are essentially different from Newtonian disks in terms of several basic characteristics of their disk oscillations, including the radial distributions of epicyclic frequencies.

In orderto understand the basic processes of disk oscillations, studies on binary systems are of importance, as they offer valuable information on wave–wave coupling processes in disk oscillations. Accordingly, some characteristics of oscillations in deformed disks are also presented in this book.

The book consists of two parts. Points covered in Part I include, for instance, the basic characteristics of disk oscillations, classification of oscillation modes, and trapping of oscillations. In Part II, the focus is mainly on excitation processes of oscillations, while applications to observations are also discussed.

Reviews

“This book provides a detailed account of the types of oscillations that can occur in accretion discs. ... The level is appropriate for advanced undergraduates and above. ... Written by Kato, one of the leading figures of this topic, this constitutes an excellent resource for the mathematical machinery and physics involved in dynamical disc variability.” (Chris Nixon, The Observatory, Vol. 137 (1260), October, 2017)

Authors and Affiliations

  • Emeritus professor, Department of Astronomy, Kyoto University , Kyoto, Japan

    Shoji Kato

About the author

Prof. Shoji Kato
Emeritus professor, Department of Astronomy, Kyoto University
 

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