Abstract
We investigate the existence and propagation of low-frequency (in comparison to ion cyclotron frequency) electrostatic ion waves in highly dense inhomogeneous astrophysical magnetoplasma comprising relativistic degenerate electrons and non-degenerate ions. The dispersion equation is obtained by Fourier analysis under mean-field quantum hydrodynamics approximation for various limits of the ratio of rest mass energy to Fermi energy of electrons, relevant to ultra-relativistic, weakly-relativistic and non-relativistic regimes. It is found that the system admits an oscillatory instability under certain condition in the presence of velocity shear parallel to ambient magnetic field. The dispersive role of plasma density and magnetic field is also discussed parametrically in the scenario of dense and degenerate astrophysical plasmas.
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References
S L Shapiro and S A Teukolsky, in: Black holes, white dwarfs and neutron stars – The physics of compact object (Wiley-VCH Verlag GmbH and Co. KGaA, Weinheim, 2004)
D Lai, Rev. Mod. Phys. 73, 629 (2001)
V E Fortov, I T Lakubov and A G Khrapak, Physics of strongly coupled plasma (Clarendon, Oxford, 2006)
G Manfredi, Fields Inst. Commun. 46, 263 (2005)
M Marklund et al, Euro. Phys. Lett. 84, 17006 (2008)
S A Khan and M Bonitz, Quantum hydrodynamics, in: Complex plasmas: Scientific challenges and technological opportunities edited by M Bonitz, K Becker, J Lopez and H Thomsen (Springer, Berlin, 2013)
S H Glenzer, O L Landen, P Neumayer, R W Lee, K Widmann, S W Pollaine, R J Wallace, G Gregori, A Höll, T Bornath, R Thiele, V Schwarz, W-D Kraeft and R Redmer, Phys. Rev. Lett. 98, 065002 (2007)
S H Glenzer and R Redmer, Rev. Mod. Phys. 81, 1625 (2009)
C P Ridgers, C S Brady, R Duclous, J G Kirk, K Bennett, T D Arber, A P L Robinson and A R Bell, Phys. Rev. Lett. 108, 165006 (2012)
D Koester and G Chanmugam, Rep. Prog. Phys. 53, 837 (1990)
P A Bradley, P E Winget and M A Wood, Astrophys. J. 406, 661 (1993)
P K Shukla, A A Mamun and D A Mendis, Phys. Rev. E 84, 026405 (2011)
P K Shukla, D A Mendis and I Krasheninnikov, J. Plasma Phys. 77, 571 (2011)
A P Misra and P K Shukla, Phys. Plasmas 18, 042308
M Akbari Moghanjoughi, Astrophys. Space Sci. 333, 491 (2011)
S A Khan, Astrophys. Space Sci. 340, 71 (2013)
S A Khan, Astrophys. Space Sci. 343, 683 (2013)
A A Mamun and P K Shukla, Europhys. Lett. 94, 65002 (2011)
A A Mamun and P K Shukla, Phys. Plasmas 17, 104504 (2010)
L Nahar, M S Zobaer, N Roy, and A A Mamun, Phys. Plasmas 20, 022304 (2013)
A -u Rahman, S A Khan, and A Qamar, Astrophys. Space Sci. 347, 119 (2013)
S Chandrasekhar, Philos. Mag. (Suppl.) 11, 592 (1931)
S Chandrasekhar, Mon. Not. R. Astron. Soc. 95, 676 (1935)
H Ren, Z Wu, J Cao, and P K Chu, J. Phys. A: Math. Theor. 41, 115501 (2008)
P K Shukla and L Stenflo, Phys. Lett. A 357, 229 (2006)
P K Shukla and L Stenflo, New J. Phys. 8, 111 (2006)
N D Angelo, Phys. Fluids 8, 1748 (1965)
M Bonitz, C Henning, and D Block, Rep. Prog. Phys. 73, 066501 (2010)
M Bonitz, P Ludwig, H Baumgartner, C Henning, A Filinov, D Block, O Arp, A Piel , S Käding, Y Ivanov, A Melzer, H Fehske, and V Filinov, Phys. Plasmas 15, 055704 (2008)
E Liang et al, in: Report of the workshop on research opportunities in plasma astrophysics edited by P Wieser (Princeton Plasma Physics Laboratory, Princeton, 2010) p. 97
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KHAN, S.A., BAKHTIAR-UD-DIN, ILYAS, M. et al. Ion waves driven by shear flow in a relativistic degenerate astrophysical plasma. Pramana - J Phys 86, 1143–1151 (2016). https://doi.org/10.1007/s12043-015-1134-1
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DOI: https://doi.org/10.1007/s12043-015-1134-1