Instability of Electron Plasma Waves in an Electron-Hole Bounded Quantum Dusty Plasma

Authors: Basudev Ghosh, Sailendranath Paul, Sreyasi Banerjee

Abstract:

Using quantum hydrodynamical (QHD) model the linear dispersion relation for the electron plasma waves propagating in a cylindrical waveguide filled with a dense plasma containing streaming electron, hole and stationary charged dust particles has been derived. It is shown that the effect of finite boundary and stream velocity of electrons and holes make some of the possible modes of propagation linearly unstable. The growth rate of this instability is shown to depend significantly on different plasma parameters.

Keywords: Electron Plasma wave, Quantum plasma, Quantum Hydrodynamical model.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1337387

References:

[1]Y.I.Salamin, S.X.Hu, K.Z.Hatsagortsyan and C.H.Kittel, Phys. Rep. 427 41(2006).
[2] G.Chabir, E.Douchin and Y.Potekhin, J.Phys. Condens Matter, 14 9133(2002).
[3] Y.D.Jung, Phys. Plasmas 8 3842(2001).
[4] K.H.Becker, K.H.Schoenbach ang J.Edens, J.Phys.D:Appl. Phys 39 R55(2006).
[5] F.Calvayrac, P.G.Reinhard, E.Suraud and C.Ullrich, Phys. Rep. 337 493(2000).
[6] P.A.Markovich, C.A.Ringhofer and C.Schmeister, Semiconductor Equations, Berlin:Springer (1990).
[7] C.K.Goertz, , Rev.Geophys. 27 271 (1989).
[8] M.Marklund and P.K.Shukla, Rev.Modern Phys., 78, 591(2006)
[9] S.H.Glezner et.al., Phys.Rev.Lett 98 065002 (2007).
[10] V.K.Sayal and S.R.Sharma, Phys.Scripta 42 475 (1990).
[11] B.Ghosh and K.Das, J.Plasma Phys. 40 545 (1988).
[12] K.K.Mondal, A.Roychowdhury and S.N.Paul, Phys.Scripta, 57 657 (1998).
[13] K.K.Mondal, S.N.Paul and A.Roychowdhury, Aust.J.Phys. 51 113 (1997).
[14] S.K.Bhattacharya, S.N.Paul and K.K.Mondal, Phys.Plasmas, 9 4439 (2002).
[15] S.K.Bhattacharya, S.N.Paul and B.Chakraborty, Indian J.Phys. 77B 327 (2003).
[16] P.K.Shukla,J.Plasma Phys. 74 107 (2008).
[17] A.P.Misra, Phys.Plasmas, 14 064501 (2007).
[18] A.P.Misra and P.K.Shukla, Phys. Plasmas, 14 082312 (2007).
[19] B Ghosh, S.Chandra, S N Paul, Phys. Plasmas 18 012106 (2011).
[20] B Ghosh, S Chandra and S N Paul, PRAMANA-J. of Physics 78 779 (2012).
[21] S Chandra and B Ghosh, Astrophys & Space Science 342 417 (2012).
[22] S Chandra , S N Paul and B Ghosh Astrophys & Space Science 343 213 (2013).
[23] G.Manfredi and F.Haas, Phys. Rev.B 64 075316 (2001).