Higher order nonlinear effects on wave structures in a four-component dusty plasma with nonisothermal electrons (original) (raw)

The increase of interest in plasmas containing charged, micrometer-sized dust particles has arisen not only from the increase of observations of such plasmas in astrophysical environments such as cometary tails, asteroid zones, planetary rings and magnetospheres, and the lower ionosphere of the earth (Grun et al. (1984); Goertz (1986); Hartquist et al. (1992); Tsytovich and Havnes (1993)), but also from their presence in laboratory devices (Selwyn et al. (1990); Bingham et al. (1991); Boufendi et al. (1992)). Such plasmas called dusty plasmas are omnipresent in the universe and also play a vital role in low temperature physics, radio frequency plasma discharge, plasma crystal, semiconductor materials processing and nanomaterials (Kokura et al. (1999); Boufendi and Bouchoule 193 194 Chapter 7. Higher order nonlinear effects on wave structures in a four-component dusty plasma with nonisothermal electrons (2002); Shukla and Mamun (2002)). The presence of charged dust in plasmas introduces a number of new novel eigen modes (e.g., Dust-acoustic wave (DAW), Dust-ion acoustic wave (DIAW) etc.). Rao et al. (1990) were the first to report theoretically the existence of extremely low phase velocity dust-acoustic waves in a weakly coupled dusty plasma whose constituents are inertial charged dust fluid and Maxwellian electrons and ions. Thus, in DAW, the dust particle mass provides the inertia, whereas the restoring force comes from the pressure of inertialess electrons and ions. Barkan et al. (1995) verified experimentally the existence of dustacoustic waves. Later on also reported the nonlinear features of the dust-acoustic (DA) waves. Shukla and Silin (1992) studied the characteristics of another mode called dust-ion acoustic wave. The linear and nonlinear features of both DAW and DIAW have also been reported in experimental and theoretical observations (Barkan et al. (1995); D ′ Angelo (1995); Barkan et al. (1996); Nakamura et al. (1999); Duan et al. (2001)). As witnessed by a large number of research publications during the past many years, the nonlinear wave structures, e.g., solitons, shocks, vortices etc. in dusty plasmas have been studied by several researchers. In the investigations reported so far, dust was treated as negatively charged and particle distribution considered as both Maxwellian and/or non-Maxwellian (Mamun (1998b); ; Chatterjee and Jana (2005); Anowar and Mamun (2008); Mamun et al. (2009a)). The DAWs/DIAWs in three component dusty plasma have gained considerable attention over the last many years. Recently, some attention has been paid to investigate electrostatic structures in four-component dusty plasmas (Sayed and Mamun (2007a)). The authors have considered both positively and negatively charged dust particles in such plasmas. The presence of positively charged dust