Abstract
In this paper we have theoretically investigated the quantum and relativistic effects on ion plasma wave in an unmagnetised dust-ion plasma. By using the method of normal mode analysis, we have obtained a linear dispersion relation. It has been analysed numerically for quantum and relativistic effects on the propagation of ion plasma wave. By using the standard reductive perturbation technique, we have derived a Korteweg–de Vries (KdV) equation which describes the nonlinear propagation of the wave. Numerically, it is shown that only compressive type of soliton can exist in the plasma under consideration. It is found that the solitary wave profile depends significantly on the quantum and relativistic parameters. The dust size, dust charge and the dust number density are also shown to have significant influences on these solitary waves. The results of this present investigation have some relevance to the nonlinear propagation of ion plasma wave in some astrophysical, space and laboratory plasma environments.
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References
G Manfredi, Fields Inst. Commun. 46, 263 (2005)
C Grabbe, J. Geophys. Res. 94, 17299 (1989)
M Opher, L O Silva, D E Dauger, V K Decyk and J M Dawson, Phys. Plasmas 8, 2454 (2001)
H Ikezi, Phys. Fluids 16, 1668 (1973)
M Marklund and P K Shukla, Rev. Mod. Phys. 78, 591 (2006)
S H Glenzer and R Redmer, Rev. Mod. Phys. 81, 1625 (2009)
P A Markowich, C A Ringhofer and C Schmeiser, Semiconductor equations (Springer, Vienna, New York, 1990)
P K Shukla and B Eliasson, Phys. Rev. Lett. 96, 245001 (2006)
P K Shukla and B Eliasson, Phys. Rev. Lett. 99, 096401 (2007)
H Sahoo, B Ghosh and K K Mondal, The African Rev. Phys. 11, 0035 (2016)
B Ghosh and K P Das, J. Plasma Phys. 40(3), 545 (1988)
Shalini and N S Saini, J. Plasma Phys. 81, 905810316 (2015)
N N Rao, P K Shukla and M Y Yu, Planet. Space Sci. 38, 543 (1990)
R Z Sagdeev, Reviews of plasma physics edited by M A Leontovich (Consultants Bureau, New York, 1966) Vol. 4, pp. 23–91
N Y Kotsarenko et al, Planet Space Sci. 46, 429 (1998)
A Barkan, R L Merlino and N D Angelo, Phys. Plasmas 2, 3563 (1995)
G C Das and S N Paul, Phys. Fluids 28, 823 (1985)
Y Nejoh, J. Plasma Phys. 38, 439 (1987)
H H Kuehl and G Y Zhang, Phys. Fluids B 3, 26 (1991)
A Roychowdhury, G Pakira and S N Paul, IEEE Trans. Plasma Sci. 26, 987 (1998)
T S Gill, A S Bains and N S Saini, Can. J. Phys. 87, 861 (2009)
B C Kalita, R Das and H K Sarmah, Phys. Plasmas 18, 012304 (2011)
H Pakzad, Astrophys. Space Sci. 332, 269 (2011).
T S Gill, A Singh, H Kaur, N S Saini and P Bala, Phys. Lett. A 361, 364 (2007)
M Opher, L O Silva, D E Dauger, V K Decyk and J M Dawson, Phys. Plasmas 8, 2544 (2001)
Y D Jung, Phys. Plasmas 8, 3842 (2001)
S Ali and P K Shukla, Phys. Plasmas 13, 022313 (2006)
B Sahu, Pramana – J. Phys. 76, 933 (2011)
T S Gill, A S Bains and C Bedi, J. Phys. Conf. Ser. 208, 012040 (2010)
B Ghosh, S Chandra and S N Paul, Pramana – J. Phys. 78(5), 779 (2012)
T Esirkepov, M Borghesi, S V Bulanov, G Mourou and T Tajima, Phys. Rev. Lett. 92, 175003-1 (2004)
F Melia and H Falcke, Ann. Rev. Astron. Astrophys. 39, 309 (2001)
M E Dieckmann, Nonlinear Process. Geophys. 15, 831 (2008)
S L Shapiro and S.A Teukolsky, Black holes, white dwarfs and neutron stars: The physics of compact objects (Wiley-VCH, Verlag, Weinhelm, 2004)
N S Saini and K Singh, Phys. Plasmas 23, 103701 (2016)
J E Gunn and J P Ostriker, Astrophys. J. 165, 523 (1971)
L Stenflo and N L Tsintsadze, Astrophys. Space Sci. 64, 513 (1979)
L Stenflo and P K Shukla, IEEE Trans. Plasma Sci. 29, 208 (2001)
F Haas, L G Garcia, J Goedert and G Manfredi, Phys. Plasmas 10, 3858 (2003)
G Manfredi and F Haas, Phys. Rev. B 64, 075316 (2001)
C L Gardner and C Ringhofer, Phys. Rev. E 53, 157 (1996)
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The authors thank the anonymous reviewer for some useful suggestions which have helped to improve the presentation of the paper.
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Sahoo, H., Mondal, K.K. & Ghosh, B. Nonlinear propagation of ion plasma waves in dust-ion plasma including quantum-relativistic effect. Pramana - J Phys 91, 88 (2018). https://doi.org/10.1007/s12043-018-1658-2
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DOI: https://doi.org/10.1007/s12043-018-1658-2