Study of Electrostatic Modes in Self-Gravitating Dusty Plasma

Abstract

In this dissertation, a review of some electrostatic modes in self-gravitating dusty plasma is carried out. First of all the basic normal modes (dust-acoustic wave (DAW) and dust-ionacoustic wave (DIAW)), in unmagnetized and collisionless dusty plasma are discussed. The electrostatic waves with fluctuating dust charge and self-gravitational effects are considered in a dense dusty plasma. The self-gravitational attraction arises due to massive dust particles and leads to Jeans type instability. This Jeans instability is discussed for tenuous (low density dust), dilute (medium density dust) and dense (high density) regimes that corresponds to dust-acoustic wave (DAW), dust charge density wave (DCDW) and dust coulomb wave (DCW), respectively. A review of general dispersion relation for electrostatic dust waves for multi-ion system is carried out. The linear instability of dusty plasma is discussed for electrostatic case with limit / ≈ 0 . The dispersion relation of selfgravitating, collisional (dust-ion collision only) dusty plasma is also reviewed. A new dispersion relation is re-derived considering the attractive forces among the dust particles and concluded that the attraction among the charge particles could be the cause of collapse of astrophysical bodies and hence leads to the formation of stars and planets in dusty plasma.