Large Amplitude Solitons And Double Layers In Multicomponent Dusty Plasmas

Abstract

Supposing that the constituents of dusty plasmas are inertialess electrons, inertialess ions, and an admixture of negatively and positively charged inertial dust grains, and employing the nonlinear multi-fluid dusty plasma equations and Poisson's equation, we have derived dynamical equations for small amplitude nonlinear dust-acoustic waves, as well as the energy integral of a classical particle with a modified Sagdeev potential for large amplitude disturbances. The energy integral is analyzed both analytically and numerically to demonstrate the existence of rarefactive and compressive electrostatic potentials which travel faster than the effective dust-acoustic velocity. Compressive dust-acoustic potential exist only when there is a significant fraction of positively charged dust grains. Furthermore, the four-fluid dusty plasma system also admit double layers.84181183Rao, N.N., Shukla, P.K., Yu, M.Y., (1990) Planet. Space Sci., 38, p. 543Shukla, P.K., (1992) Physica Scripta, 45, p. 510Shukla, P.K., Rahman, H.U., (1996) Phys. Plasmas, 3, p. 430Shukla, P.K., (1999) Phys. Lett., A252, p. 340Barkan, A., Merlino, R.L., D'Angelo, N., (1995) Phys. Plasmas, 2, p. 3563Merlino, R.L., Barkan, A., Thompson, C., D'Angelo, N., (1998) Phys. Plasmas, 5, p. 1607Prabhakara, H.R., Tanna, V.L., (1996) Phys. Plasmas, 3, p. 3176Morfill, G., Thomas, H., Zuzic, M., (1997) Advances in Dusty Plasma, pp. 99-142. , (edited by P. K. Shukla, D. A. Mendis and T. Desa), World Scientific, SingaporeNakamura, Y., Odagiri, T., Tsukabayashi, I., (1997) Plasma Phys. Control Fusion, 39, p. 105Nakamura, Y., Tsukabayashi, I., (1984) Phys. Rev. Lett., 52, p. 2356Watanabe, S., (1984) J. Phys. Soc. Japan, 53, p. 950Tajiri, M., Tuda, M., (1985) J. Phys. Soc. Japan, 54, p. 19Sheridan, T.E., (1998) J. Plasma Phys., 60, p. 17Shukla, P.K., (1994) Phys. Plasmas, 1, p. 1362Sagdeev, R.Z., (1966) Reviews of Plasma Physic, pp. 23-91. , (edited by M. A. Leontovich), Consultants Bureau, New YorkSakanaka, P.H., Shukla, P.K., Theory of Solitons and Double Layers in Multicomponent Dusty Plasmas, , in preparatio