Abstract
In this paper, we have investigated the nonlinear propagating coupled Kinetic Alfven-acoustic waves in a low beta degenerate quantum plasma in the presence of trapped Fermi electrons using the quantum hydrodynamic (QHD) model. By using the two potential theory and the Sagdeev potential approach, we have investigated the formation of solitary structures for coupled kinetic Alfven-acoustic waves in the presence of quantum mechanically trapped electrons. We have shown that there are regions of propagation and non-propagation for such solitary structures. We have also highlighted the differences between the classical and quantum mechanically trapped electrons. Interestingly, it has been found that the nature of the nonlinearity for the quantum mechanically trapped electrons is different from its classical counterpart. The results presented here may have applications in white dwarf asteroseismology as well as next generation laser-plasma experiments where low beta plasma condition is met.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abbasi, H., Tsintsadze, N.L., Tshakaya, D.D.: Phys. Plasmas 6, 2373 (1999)
Abrahams, E., Kravchenko, S.V., Sarachik, M.P.: Rev. Mod. Phys. 73, 251 (2001)
Ang, L.K., et al.: Phys. Plasmas 13, 056701 (2006)
Ayub, M., Shah, H.A., Qureshi, M.N.S.: Phys. Scr. 84, 045505 (2011)
Azechi, H., et al.: Laser Part. Beams 9, 193 (1991)
Azechi, H., et al.: Plasma Phys. Control. Fusion 48, B267 (2006)
Barnes, W.L., Dereux, A., Ebbesen, T.W.: Nature 424, 824 (2003)
Becker, K.H., Schoenbach, K.H., Eden, J.G.: J. Phys. D 39, R55 (2006)
Chabrier, G., Douchin, F., Potekhin, A.Y.J.: Phys. Condens. Matter 14, 9133 (2002)
Chang, D.E., et al.: Phys. Rev. Lett. 97, 053002 (2006)
Craighead, H.G.: Science 290, 1532 (2000)
Cramer, N.F.: The Physics of Alfven Waves. Wiley-VCH, Berlin (2001)
Crouseilles, N., Hervieux, P.A., Manfredi, G.: Phys. Rev. B 78, 155412 (2008)
Danson, C.N., Brummitt, P.A., Clarke, R.J., Collier, J.L., Fell, B., Frackiewicz, A., Hancock, S., Hawkes, S., Hernandez-Gomez, C., Holligan, P., Hutchinson, M.H.R., Kidd, A., Lester, W.J., Musgrave, I.O., Neely, D., Neville, D.R., Norreys, P.A., Pepler, D.A., Reason, C.J., Shaikh, W., Winstone, T.B., Wyatt, R.W.W., Wyborn, B.E.: Nucl. Fusion 44, S239 (2004)
Eliasson, B., Shukla, P.K.: Europhys. Lett. 97, 15001 (2012)
Erokhin, N.S., Zolnikova, N.N., Mikhailovskaya, L.A.: Fiz. Plazmy 22, 137 (1996)
Faure, J., Glinec, Y., Pukhov, A., Kiselev, S., Gordienko, S., Lefebvre, E., Rousseau, J.P., Burgy, F., Malka, V.: Nature (London) 431, 542 (2004)
Fortney, J.J., et al.: Phys. Plasmas 16, 041003 (2009)
Geddes, C.G.R., Toth, Cs., Van Tilborg, J., Esarey, E., Schroeder, C.B., Bruhwiler, D., Nieter, C., Cary, J., Leemans, W.P.: Nature (London) 431, 538 (2004)
Gerstner, E.: Nature (London) 446, 16 (2007)
Ghosh, S.S., Lakhina, G.S.: Nonlinear Process. Geophys. 11, 219 (2004)
Guillot, T.: Science 286, 72 (1999)
Gurevich, A.V.: Zh. Eksp. Teor. Fiz. 53, 953 (1967)
Haas, F.: Phys. Plasmas 12, 062117 (2005)
Haas, F., Garcia, L.G., Goedert, J., Manfredi, G.: Phys. Plasmas 10, 3858 (2003)
Hansen, C., Reimann, A.B., Fajans, J.: Phys. Plasmas 3, 1820 (1996)
Hasegawa, A., Chen, L.: Phys. Rev. Lett. 35, 370 (1975)
Hasegawa, A., Mima, K.: Phys. Rev. Lett. 37, 690 (1976)
Hooker, C.J., Collier, J.L., Chekhlov, O., Clarke, R., Divall, E., Ertel, K., Fell, B., Foster, P., Hancock, S., Langley, A., Neely, D., Smith, J., Wyborn, B.: J. Phys. IV 133, 673 (2006)
Hu, S.X., Keitel, C.H.: Phys. Rev. Lett. 83, 4709 (1999)
Kadomtsev, B.B.: Plasma Turbulence. Academic Press, New York (1965)
Kakati, H., Goswami, K.S.: Phys. Plasmas 5, 4229 (1998)
Kodama, R., Norreys, P.A., Mima, K., Dangor, A.E., Evans, R.G., Fujita, H., Kitagawa, Y., Krushelnick, K., Miyakoshi, T., Miyanaga, N., Norimastsu, T., Rose, S.J., Shozaki, T., Shigemori, K., Sunahara, A., Tampo, M., Tanaka, K.A., Toyama, Y., Yamanaka, T., Zepf, M.: Nature (London) 412, 798 (2001)
Koester, D., Chanmugam, G.: Rep. Prog. Phys. 53, 837 (1990)
Landau, L.D., Lifshitz, E.M.: Physical Kinetics. Pergamon, New York (1981)
Lau, Y.Y., et al.: Phys. Rev. Lett. 66, 1446 (1991)
Lee, H.J., et al.: Phys. Rev. Lett. 102, 115001 (2009)
Lindl, J.: Phys. Plasmas 2, 3933 (1995)
Magnus, W.C.J., Schoenmaker, W.J.: Quantum Transport in Submicron Devices. Springer, Berlin (2002)
Malkin, V.M., Fisch, N.J., Wurtele, J.S.: Phys. Rev. E 75, 026404 (2007)
Manfredi, G.: Fields Inst. Commun. 46, 263 (2005)
Mangles, S.P.D., Murphy, C.D., Najmudin, Z., Thomas, A.G.R., Collier, J.L., Dangor, A.E., Divall, E.J., Foster, P.S., Gallacher, J.G., Hooker, C.J., Jaroszynski, D.A., Langley, A.J., Mori, W.B., Norreys, P.A., Tsung, F.S., Viskup, R., Walton, B.R., Krushelnick, K.: Nature (London) 431, 535 (2004)
Marklund, M., Shukla, P.K.: Rev. Mod. Phys. 78, 591 (2006)
Marklund, M., Stenflo, L., Shukla, P.K., Brodin, B.: Phys. Plasmas 12, 072111 (2005)
Marklund, M., et al.: Europhys. Lett. 84, 17006 (2008)
Markovich, P.A., et al.: Semiconductor Equation. Springer, Wien (1990)
Masood, W., Mushtaq, A.: Phys. Plasmas 15, 022306 (2008)
Mushtaq, A., Shah, H.A.: Phys. Plasmas 13, 012303 (2006)
Norreys, P.A., et al.: Phys. Plasmas 16, 041002 (2009)
Perry, M.D., Pennington, D., Stuart, B.C., Tietbohl, G., Britten, J.A., Brown, C., Herman, S., Golick, B., Kartz, M., Miller, J., Powell, H.T., Vergino, M., Yanovsky, V.: Opt. Lett. 24, 160 (1999)
Piovella, N., et al.: Phys. Rev. Lett. 100, 044801 (2008)
Pukhov, A., Meyer-ter-Vehn, J.: Appl. Phys. B, Lasers Opt. 74, 355 (2002)
Ryutov, D.D., Remington, B.A.: Phys. Plasmas 10, 2629 (2003)
Ryutov, D.D., Drake, R.P., Kane, J.O., Liang, E., Remington, B.A., Wood-Vasey, W.M.: Astrophys. J. 518, 821 (1999)
Ryutov, D.D., Remington, B.A., Robey, H.F., Drake, R.P.: Phys. Plasmas 8, 1804 (2001)
Sagdeev, R.Z.: Review of Plasma Physics, vol. 4. Consultants Bureau, New York (1996)
Serbeto, A., et al.: Phys. Plasmas 15, 013110 (2008)
Shah, H.A., Qureshi, M.N.S., Tsintsadze, N.L.: Phys. Plasmas 17, 032312 (2010)
Shah, H.A., Iqbal, M.J., Tsintsadze, N.L., Masood, W., Qureshi, M.N.S.: Phys. Plasmas 19, 092304 (2012)
Shah, H.A., Masood, W., Ali, Z.: Phys. Plasmas 20, 032301 (2013)
Shapiro, S.L., Teukolsky, S.: A Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (2004)
Shpatakovskaya, G.V.: Zh. Eksp. Teor. Fiz. 129, 533 (2006)
Shukla, P.K., Eliasson, B.: Phys. Rev. Lett. 100, 036801 (2008)
Siddiqui, H., Shah, H.A., Tsintsadze, N.L.: J. Fusion Energy 27, 216 (2008)
Smith, R.A.: Bull. Am. Phys. Soc. 53, 221 (2008)
Stasiewicz, K., Bellan, P., Chaston, C., Kletzing, C., Lysak, R., Maggs, J., Pokhotelov, O., Seyler, C., Shukla, P., Stenflo, L., Streltsov, A., Wahlund, J.E.: Space Sci. Rev. 92, 423 (2000)
Strickland, D., Mourou, G.: Opt. Commun. 56, 219 (1985)
Tabak, M., Hammer, J., Glinsky, M.E., Kruer, W.L., Wilks, S.C., Wood-worth, J., Campbell, E.M., Perry, M.D., Mason, R.J.: Phys. Plasmas 1, 1626 (1994)
Tabak, M., et al.: Phys. Plasmas 12, 057305 (2005)
Tajima, T., Dawson, J.M.: Phys. Rev. Lett. 43, 267 (1979)
Wu, D.J.: Prog. Phys. 30, 101 (2010)
Yanovsky, V., Chvykov, V., Kalinchenko, G., Rousseau, P., Planchon, T., Matsuoka, T., Maksimchuk, A., Nees, J., Cheriaux, G., Mourou, G., Krushelnick, K.: Opt. Express 16, 2109 (2008)
Yinhua, C., Wei, L., Yu, M.Y.: Phys. Rev. E 61, 809 (2000)
Yu, M.Y., Shukla, P.K.: Phys. Fluids 21, 1457 (1978)
Acknowledgement
This research was supported by the Higher Education Commission (HEC) grant No. 20-2595/NRPU/R&D/HEC/13.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sabeen, A., Shah, H.A., Masood, W. et al. Finite amplitude solitary structures of coupled kinetic Alfven-acoustic waves in dense plasmas. Astrophys Space Sci 355, 225–232 (2015). https://doi.org/10.1007/s10509-014-2169-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-014-2169-3