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  • Title
  • CERTIFICATE
  • DECLARATION
  • ACKNOWLEDGEMENT
  • CONTENTS
  • Preface
  • 1. Introduction
  • 1.1 Dusty plasmas
  • 1.2 Characteristics and Properties of Dusty Plasmas
  • 1.2.1 Charge of dust particles in a plasma
  • 1.2.2 The motion of charged dust charged
  • Dynamics of charged grains in planetary magnetospheres
  • 1.3 Waves and Instabilities in Dusty plasmas
  • 1.4 Waves in Dusty plasmas.
  • 1.4.1 Instabilities in a plasma plasma
  • Longitudinal and Transverse Instabilities
  • 1.4.2 Instabilities in a Dusty plasma plasma
  • 1.5 Review of work on instabilities in dusty plasmas
  • 1.6 References
  • 2. The influence of dust particles on electromagnetic ion cyclotron waves in a bi-Lorentzian plasma
  • 2.1 Introduction
  • 2.2 The general dispersion relation.
  • 2.3 Low- β case
  • 2.3.1 Dispersion relation
  • 2.3.2 Discussion
  • 2.4 High β case
  • 2.4.1 Dispersion relation
  • 2.4.2 Discussion
  • 2.5 Results
  • 2.6 Conclusions
  • 2.7 References:
  • 3. A dust influenced zero frequency instability in a bi Lorentzian
  • 3.1 Introduction
  • 3.2 Tile general dispersion relation
  • 3.3 Purely growing mode in high β plasmas
  • 3.3.1 Discussion
  • 3.4 Extention to low β plasma
  • 3.5 Results
  • 3.6 Conclusions
  • 3.7 References
  • 4. Influence of dust on ion cyclotron waves in a two ion plasma
  • 4.1 Introduction
  • 4.2 The Dispersion relation
  • 4.3 Low - β case
  • 4.3.1 Dispersion relation
  • 4.4 High β case
  • 4.4.1 The Dispersion relation
  • 4.5 Results
  • 4.6 Conclusions
  • 4.7 References
  • 5. Convective instability of ion cyclotron waves in a dusty plasma
  • 5.1 Introduction
  • 5.2 The distribution function and dispersion function
  • 5.3 Low-β plasmas
  • 5.4 High -β plasmas
  • 5.5 Results
  • 5.6 Conclusions
  • 5.7 References.
  • 6. A temperature anisotropic instability in a two component bi-Lorentzian plasma
  • 6.1 Introduction
  • 6.2 The dispersion relation
  • 6.3 High-β plasmas
  • 6.3.1 Kappa distribution function
  • 6.3.2 Anisotropic Maxwellian distribution
  • 6.4 Low-β plasmas
  • 6.5 Results
  • 6.6 Conclusions
  • 6.7 References