Abstract
We consider the effects of trapping in a relativistic degenerate plasma with quantizing magnetic field. The linear dispersion relation for such an ion acoustic wave is derived and the propagation characteristics of these waves are discussed. The Sagdeev potential for the formation of arbitrary amplitude solitary structures is obtained and it is seen that only compressive solitary structures are formed for the relativistic degenerate quantized magnetoplasma. The dependence of the linear and nonlinear propagation characteristics of ion acoustic waves on different plasma parameters is explored. A comparison is also made with the previous studies. The useful applications of the present investigation in dense astrophysical environments like white dwarf stars and neutron stars, in semiconductor physics, in high-energy density physics, in inertial confinement fusion and in next generation laser–plasma interaction experiments are pointed out.
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V.V. Demchenko, I.A. El-Naggar, Physica 58, 144 (1972)
S.L. Shapiro, S.A. Teukolsky,Black holes, white dwarfs and neutron stars: the physics of compact objects (John Wiley & Sons, Inc., New York, 1983)
M.E. Dieckmann, Nonlinear. Process. Geophys. 15, 831 (2008)
F.C. Michel, Rev. Mod. Phys. 54, 1 (1982)
A.A. Mamun, P.K. Shukla, Phys. Lett. A 374, 4238 (2010)
E. Garcia-Berro, S. Torres, L.G. Althaus, I. Renedo, P. Loren-Aguilar, A.H. Corsico, R.D. Rohrmann, M. Salaris, J. Isern, Nature 465, 194 (2010)
N.L. Tsintsadze, L.N. Tsintsadze, Europhys. Lett. 88, 35001 (2009)
N.L. Tsintsadze, L.N. Tsintsadze, AIP Conf. Proc. 1177, 18 (2009)
L.N. Tsintsadze, N.L. Tsintsadze, J. Plasma Phys. 76, 403 (2010)
B. Eliasson, P.K. Shukla, J. Plasma Phys. 76, 7 (2010)
L.N. Tsintsadze, https://doi.org/arXiv:0911.0133v1
L.D. Landau, E.M. Lifshitz,Statistical physics, part 1 (Butterworth-, Oxford, 1998)
L.N. Tsintsadze, AIP Conf. Proc. 1306, 89 (2010)
S. Eliezer, P. Norreys, J.T. Mendonca, K. Lancaster, Phys. Plasmas 12, 052115 (2005)
A. Markowich, C.A. Ringhofer, C. Schmeiser,Semiconductor equations (Springer, Vienna, 1990)
L.K. Ang, T.J. Kwan, Y.Y. Lau, Phys. Rev. Lett. 91, 208303 (2003)
T.C. Killian, Nature 441, 297 (2006)
Y.D. Jung, Phys. Plasmas 8, 3842 (2001)
M. Opher, L.O. Silva, D.E. Dauger, V.K. Decyk, J.M. Dawson, Phys. Plasmas 8, 2454 (2001)
W. Masood, S. Karim, H.A. Shah, M. Siddiq, Phys. Plasmas 16, 112302 (2009)
V.I. Berezhiani, N.L. Shatashvili, N.L. Tsintsadze, Phys. Scr. 90, 068005 (2015)
W. Masood, H. Rizvi, H. Hasnain, Phys. Plasmas 19, 032314 (2012)
D. Melrose,Quantum plasmadynamics: unmagnetized plasmas (Springer, New York, 2011)
F. Haas,Quantum plasmas: an hydrodynamic approach (Springer, New York, 2011)
N.L. Tsintsadze, L.N. Tsintsadze, Europhys. Lett. 88, 35001 (2009)
A.M. Abrahams, S.L. Shapiro, Astrophys. J. 374, 652 (1991)
D. Lai, Rev. Mod. Phys. 73, 629 (2001)
I.B. Bernstein, J.M. Green, M.D. Kruskal, Phys. Rev. 108, 546 (1957)
A.V. Gurevich, J. Exp. Theor. Phys. 53, 953 (1967)
V.L. Krasovskii, Zh. Eksp. Teor. Fiz. 107, 741 (1995)
H. Abbasi, M.R. Rouhani, D.D. Tskhakaya, Phys. Scr. 56 619 (1997)
E. Heidari, M. Aslaninejad, H. Eshraghi, Plasma Phys. Control. Fusion 52, 075010 (2010)
J.-M. Deux, MS thesis, Massachusetts Institute of Technology, Cambridge, MA, 2004
R.Z. Sagdeev, inReview of plasma physics (Consultants Bureau, New York, 1996), Vol. 4
V. Malka, J. Faure, Y.A. Gauduel, E. Lefebvre, A. Rousse, K.T. Phuoc, Nat. Phys. 4, 447 (2008).
R.K. Kirkwood, J.D. Moody, J. Kline, E. Dewald, S. Glenzer, L. Divol, P. Michel, D. Hinkel, R. Berger, E. Williams, Plasma Phys. Control. Fusion. 55, 103001 (2013)
M. Mobaraki, S. Jafari, Commun. Theor. Phys. 66, 237 (2016)
T. Fulop, F. Pegoraro, V. Tikhonchuk, Eur. Phys. J. D 71, 306 (2017)
F. Belloni, D. Margarone, A. Picciotto, F. Schillaci, L. Giuffrida, Phys. Plasma. 25, 020701 (2018)
T. Tajima, J.M. Dawson, Phys. Rev. Lett. 43, 267 (1979)
A. Pukhov, J. Meyer-ter-Vehn, Appl. Phys. B, Lasers Opt. 74, 355 (2002)
S.P.D. Mangles, C.D. Murphy, Z. Najmudin, A.G.R. Thomas, J.L. Collier, A.E. Dangor, E.J. Divall, P.S. Foster, J.G. Gallacher, C.J. Hooker, D.A. Jaroszynski, A.J. Langley, W.B. Mori, P.A. Norreys, F.S. Tsung, R. Viskup, B.R. Walton, K. Krushelnick, Nature 431, 535 (2004)
C.G.R. Geddes, C. Toth, J. Van Tilborg, E. Esarey, C.B. Schroeder, D. Bruhwiler, C. Nieter, J. Cary, W.P. Leemans, Nature 431, 538 (2004)
J. Faure, Y. Glinec, A. Pukhov, S. Kiselev, S. Gordienko, E. Lefebvre, J.P. Rousseau, F. Burgy, V. Malka, Nature 431, 542 (2004)
D.D. Ryutov, R.P. Drake, J.O. Kane, E. Liang, B.A. Remington, W.M. Wood-Vasey, Astrophys. J. 518, 821 (1999)
D.D. Ryutov, B.A. Remington, H.F. Robey, R.P. Drake, Phys. Plasmas 8, 1804 (2001)
D.D. Ryutov, B.A. Remington, Phys. Plasmas 10, 2629 (2003)
M. Tabak, J. Hammer, M.E. Glinsky, W.L. Kruer, S.C. Wilks, J. Wood-Worth, E.M. Campbell, M.D. Perry, R.J. Mason, Phys. Plasmas 1, 1626 (1994)
R. Kodama, P.A. Norreys, K. Mima, A.E. Dangor, R.G. Evans, H. Fujita, Y. Kitagawa, K. Krushelnick, T. Miyakoshi, N. Miyanaga, T. Norimastsu, S.J. Rose, T. Shozaki, K. Shigemori, A. Sunahara, M. Tampo, K.A. Tanaka, Y. Toyama, T. Yamanaka, M. Zepf, Nature 412, 798 (2001)
A.J. Willes, K. Wu, Mon. Not. R. Astron. Soc. 348, 285 (2004)
H.A. Shah, M.N.S. Qureshi, N.L. Tsintsadze, Phys. Plasmas 17, 032312 (2010)
H.A. Shah, W. Masood, M.N.S. Qureshi, N.L. Tsintsadze, Phys. Plasmas 18, 102306 (2011)
H.A. Shah, M.J. Iqbal, N.L. Tsintsadze, W. Masood, M.N.S. Qureshi, Phys. Plasmas 19, 092304 (2012)
M.J. Iqbal, W. Masood, H.A. Shah, N.L. Tsintsadze, Phys. Plasmas 24, 014503 (2017)
V.B. Berestetskii, E.M. Lifshitz, L.P. Pitaevskii, inRelativistic quantum theory, part I, 1st edn. (Pergamon Press Ltd., Pergamon, Oxford, 1971), Vol. 4.
D. Koester, G. Chanmugam, Rep. Prog. Phys. 53, 837 (1990)
J. Landstreet, Phys. Rev. 153, 1372 (1967)
V.M. Lipunov,Neutron star astrophysics (Nauka, Moscow, 1987)
S.S. Ghosh, G.S. Lakhina, Nonlinear Process Geophys. 11, 219 (2004)
G.S. Bisnovati-Kogan, Astron. Zh. 47, 813 (1970)
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Iqbal, M.J., Shah, H.A., Masood, W. et al. Nonlinear ion acoustic waves in a relativistic degenerate plasma with Landau diamagnetism and electron trapping. Eur. Phys. J. D 72, 192 (2018). https://doi.org/10.1140/epjd/e2018-90309-2
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DOI: https://doi.org/10.1140/epjd/e2018-90309-2