Abstract
Linear and nonlinear analysis of low frequency magnetoacoustic waves propagating at an angle θ with the ambient magnetic field are investigated in dense electron-positron-ion (e-p-i) plasmas using the quantum magnetohydrodynamic (QMHD) model. In this regard, a quantum Kadomtsev-Petviashvili-Burgers (KPB) equation is derived in the small amplitude limit. The stability of KPB equation is also presented. The variation of the nonlinear fast and slow magnetoacoustic shock waves with the positron concentration, kinematic viscosity, obliqueness parameter θ, and the magnetic field, are also investigated. It is observed that the aforementioned plasma parameters significantly modify the propagation characteristics of two dimensional nonlinear magnetoacoustic shock waves in dissipative quantum magnetoplasmas. The relevance of the present investigation with regard to dense astrophysical environments is also pointed out.
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References
Adlam, J.H., Allen, J.E.: Philos. Mag. 3, 448 (1958)
Agrawal, G.: Nonlinear Fibre Optics. Academic, San Diego (1995)
Berezhiani, V.I., Mahajan, S.M.: Phys. Rev. Lett. 73, 1110 (1994)
Berezin, Y.A., Karpman, V.I.: Sov. Phys. JETP 46, 1880 (1964)
Brodin, G., Marklund, M.: Phys. Plasmas 14, 112107 (2007)
Brodin, G., Marklund, M., Manfredi, G.: Phys. Rev. Lett. 100, 175001 (2008)
Burlaga, L.F.: Rev. Geophys. 21, 363 (1983)
Burns, M.L.: In: Burns, M.L., Harding, A.K., Ramaty, R. (eds.) Positron-Electron Pairs in Astrophysics. American Institute of Physics, Melville (1983)
Davis, L., Lüst, R., Schulüter, A.: Z. Naturforsch. 13a, 916 (1958)
De Vito, M., Pantano, P.: Lett. Nuovo Cimento Soc. Ital. Fis. 40, 58 (1984)
Gardner, C.S., Morikawa, G.K.: Commun. Pure Appl. Math. 18, 35 (1965)
Gedalin, M.: Phys. Plasmas 1, 1159 (1994)
Haas, F.: Phys. Plasmas 12, 062117 (2005)
Hasegawa, H., Irie, S., Usami, S., Oshawa, Y.: Phys. Plasmas 9, 2549 (2002)
Holberg, J.B., Barstow, M.A., Bruhweiler, F.C., Cruise, A.M., Penny, A.J.: Astrophys. J. 497, 935 (1998)
Horn, V., Hugh, M.: Phys. Today 32, 23 (1979)
Kakutani, T., Ono, H.: J. Phys. Soc. Jpn. 26, 1305 (1969)
Karpman, V.I.: Nonlinear Waves in Dispersive Media. Oxford, Pergamon (1975)
Khan, S.A., Masood, W., Siddiq, M.: Phys. Plasmas 16, 013701 (2009)
Koester, D., Chanmugam, G.: Rep. Prog. Phys. 53, 837 (1990)
Landau, L., Lifshitz, E.M.: Statistical Physics. Oxford University Press, Oxford (1980), Part 1, p. 167
Leontovich, M.: Akad. Izv. Nauk SSR Ser. Fiz. Mat. Nauk 8, 16 (1994)
Mahajan, S.M., Berezhiani, V.I., Miklaszewski, R.: Phys. Plasmas 5, 3264 (1998)
Malfliet, W.: Am. J. Phys. 60, 650 (1992)
Malfliet, W.: J. Comput. Appl. Math. 164, 529 (2004)
Mamun, A.A., Shukla, P.K.: Phys. Plasmas 9, 1568 (2002)
Marklund, M., Shukla, P.K.: Rev. Mod. Phys. 78, 591 (2006)
Marklund, M., Eliasson, B., Shukla, P.K.: Phys. Rev. E 76, 067401 (2007)
Markowich, A., Ringhofer, C., Schmeiser, C.: Semiconductor Equations. Springer, Vienna (1990)
Masood, W.: Phys. Plasmas 16, 042314 (2009)
Masood, W., Mushtaq, A.: Phys. Lett. A 372, 4283 (2008)
Masood, W., Salimullah, M., Shah, H.A.: Phys. Lett. A 372, 6757 (2008)
Masood, W., Eliasson, B., Shukla, P.K.: Phys. Rev. E 81, 066401 (2010)
Misner, W., Thorne, K., Wheeler, J.A.: Gravitation, p. 763. Freeman, San Francisco (1973)
Nejoh, Y.N.: Phys. Plasmas 3, 1447 (1996)
Opher, M., Silva, L.O., Dauger, D.E., Decyk, V.K., Dawson, J.M.: Phys. Plasmas 8, 2454 (2001)
Padmanabhan, T.: Theoretical Astrophysics, Vol. II: Stars and Stellar Systems. Cambridge University Press, Cambridge (2001)
Popel, S.I., Vladimirov, S.V., Shukla, P.K.: Phys. Plasmas 2, 716 (1995)
Rizatto, F.B.: J. Plasma Phys. 40, 289 (1988)
Sabry, R., Moslem, W.M., Shukla, P.K., Saleem, H.: Phys. Rev. E 79, 056402 (2009)
Sahu, B., Roychoudhury, R.: Phys. Plasmas 14, 072310 (2007)
Shah, H.A., Bruno, R.: J. Plasma Phys. 37, 143 (1987)
Shapiro, S.L., Teukolsky, A.A.: Black Holes, White Dwarfs, and Neutron Stars. Wiley-Interscience, New York (1983)
Shukla, P.K., Ali, S.: Phys. Plasmas 12, 114502 (2005)
Shukla, P.K., Mamun, A.A.: New J. Phys. 5, 17 (2003)
Shukla, P.K., Mamun, A.A.: New J. Phys. 5, 17 (2003)
Spitzer, L.Jr.: Physics of Fully Ionized Gases. Wiley, New York (1962)
Sturrock, P.A.: Astrophys. J. 164, 529 (1971)
Sui, I.-S., Mathews, G.J.: APJ 530, 949 (2000)
Tsintsadze, N.L., Tsintsadze, L.N.: Europhys. Lett. 88, 35001 (2009)
Tsurutani, B.T., Smith, E.J., Jones, D.E.: J. Geophys. Res. 88, 5645 (1983)
Vladimirov, S.V., Yu, M.Y.: Phys. Rev. E 48, 2136 (1993)
Vladimirov, S.V., Yu, M.Y.: Phys. Rev. E 49, 1569 (1994)
Washimi, H., Tanuiti, T.: Phys. Rev. Lett. 17, 996 (1966)
Xue, J.-K.: Phys. Plasmas 10, 4893 (2003a)
Xue, J.-K.: Phys. Plasmas 10, 3430 (2003b)
Xue, J.-K.: Phys. Lett. A 314, 479 (2003c)
Yu, M.Y.: Astrophys. Space Sci. 177, 303 (1985)
Zheleznyakov, V.V., Koryagin, S.A., Serber, A.V.: Astron. Lett. 25, 513 (1999)
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Masood, W., Rizvi, H. & Hussain, S. Two dimensional electromagnetic shock structures in dense electron-positron-ion magnetoplasmas. Astrophys Space Sci 332, 287–299 (2011). https://doi.org/10.1007/s10509-010-0555-z
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DOI: https://doi.org/10.1007/s10509-010-0555-z