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The Exchange-Correlation Field Effect over the Magnetoacoustic-Gravitational Instability in Plasmas

  • A. Rasheed , M. Jamil EMAIL logo , Young-Dae Jung , A. Sahar and M. Asif
Published/Copyright: September 11, 2017
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 72 Issue 10

Abstract

Jeans instability with magnetosonic perturbations is discussed in quantum dusty magnetoplasmas. The quantum and smaller thermal effects are associated only with electrons. The quantum characteristics include exchange-correlation potential, recoil effect, and Fermi degenerate pressure. The multifluid model of plasmas is used for the analytical study of this problem. The significant contribution of electron exchange is noticed on the threshold value of wave vector and Jeans instability. The presence of electron exchange and correlation effects reduce the time to stabilise the phenomenon of self-gravitational collapse of massive species. The results of Jeans instability by magnetosonic perturbations at quantum scale help to disclose the details of the self-gravitating dusty magnetoplasma systems.

Keywords: Fluid Model; Magnetoacoustic Wave; Quantum Plasmas; Self-Gravitational Instability

References

[1] A. K. Harding and D. Lai, Rep. Prog. Phys. 69, 2631 (2006).10.1088/0034-4885/69/9/R03Search in Google Scholar

[2] S. Chandrashekhar, J. Astrophys. 74, 81 (1931).10.1086/143324Search in Google Scholar

[3] S. Chandrashekhar, Philos. Mag. 11, 592 (1931).10.1080/14786443109461710Search in Google Scholar

[4] R. L. Merlino, Plasma Physics Applied, Transworld Research Network, Kerala, India 2006, p. 73, ISBN: 81-7895-230-0.Search in Google Scholar

[5] F. Verheest, Waves in Dusty Space Plasmas, Kluwer Academic Publishers, The Netherlands 2000.10.1007/978-94-010-9945-5Search in Google Scholar

[6] H. Ikezi, Phys. Fluids 29, 1764 (1986).10.1063/1.865653Search in Google Scholar

[7] Th. Trottenberg, A. Melzer, and A. Piel, Plasma Sources Sci. 4, 450 (1995).10.1088/0963-0252/4/3/015Search in Google Scholar

[8] E. Garcia-Berro, S. Torres, L. G. Althaus, I. Renedo, P. Lorén-Aguilar, et al., Nature 465, 194 (2010).10.1038/nature09045Search in Google Scholar PubMed

[9] H. N. van Horn, Astrophys. J. 151, 277 (1968).10.1086/149432Search in Google Scholar

[10] U. M. Abdelsalam, S. Ali, and I. Kourakis, Phys. Plasmas 19, 062107 (2012).10.1063/1.4729661Search in Google Scholar

[11] S. Ali and P. K. Shukla, Phys. Plasmas 13, 022313 (2006).10.1063/1.2173518Search in Google Scholar

[12] R. X. Luo, H. Chen, and S. Q. Liu, IEEE Trans. Plasma Sci. 43, 1845 (2015).10.1109/TPS.2015.2427842Search in Google Scholar

[13] P. K. Shukla and S. Ali, Phys. Plasmas 12, 114502 (2005).10.1063/1.2136376Search in Google Scholar

[14] Y. Xiu-Feng, W. Shan-Jin, C. Jian-Min, S. Yu-Ren, L. Mai-Mai, et al., Chin. Phys. B 21, 055202 (2012).10.1088/1674-1056/21/5/055202Search in Google Scholar

[15] H. Ren, Z. Wu, J. Cao, and P. K. Chu, Phys. Plasmas 16, 103705 (2009).10.1063/1.3257170Search in Google Scholar

[16] M. Harwit, Astrophysical Concepts, Springer, USA 2006.Search in Google Scholar

[17] D. A. Mendis and M. Rosenberg, Annu. Rev. Astron. Astrophys. 32, 419 (1994).10.1146/annurev.aa.32.090194.002223Search in Google Scholar

[18] M. Horanyi, Annu. Rev. Astron. Astrophys. 34, 383 (1996).10.1146/annurev.astro.34.1.383Search in Google Scholar

[19] F. Verheest, Space Sci. Rev. 77, 267 (1996).10.1007/BF00226225Search in Google Scholar

[20] V. V. Yaroshenko, Y. Voitenko, and M. Goossens, Phys. Plasmas 9, 1520 (2002).10.1063/1.1465417Search in Google Scholar

[21] L. Davis, R. Lust, and A. Schluter, Z. Naturforsch, 13, 916 (1958).10.1515/zna-1958-1102Search in Google Scholar

[22] C. S. Gardner, H. Goertzel, H. Grad, C. S. Morawetz, M. H. Rose, et al., Proc. 2nd U.N. Intern. Conf. of Peaceful Uses of Atomic Energy, vol. 31, United Nations Publication, UK 1958, p. 230.Search in Google Scholar

[23] R. Z. Sagdeev, in: Plasma Physics and the Problem of Controlled Thermonuclear Research, vol. 5, (Ed. L. A. Artsimovich), Pergamon Press, London 1958, p. 454.Search in Google Scholar

[24] R. P. Prajapati and R. K. Chhajlani, Acta Tech. 56, T414 (2011).Search in Google Scholar

[25] R. P. Prajapati, P. K. Sharma, R. K. Sanghvi, and R. K. Chhajlani, J. Phys. Conf. Ser. 365, 012040 (2012).10.1088/1742-6596/365/1/012040Search in Google Scholar

[26] H. Ren, Z. Wu, J. Cao, and P. K. Chu, Phys. Plasmas 16, 072101 (2009).10.1063/1.3168612Search in Google Scholar

[27] M. Salimullah, M. Jamil, H. A. Shah, and G. Murtaza, Phys. Plasmas 16, 014502 (2009).10.1063/1.3070664Search in Google Scholar

[28] W-P. Honga and Y-D. Jung, Phys. Lett. A, 379, 2740 (2015).10.1016/j.physleta.2015.08.018Search in Google Scholar

[29] P. Bliokh, V. Sinitsin, and V. Yaroshenko, Dusty and Self-Gravitational Plasmas in Space, Springer Science+Business Media, Dordrecht 1995, ISBN 978-94-015-8557-6 (eBook).10.1007/978-94-015-8557-6Search in Google Scholar

[30] A. Piel and A Melzer, Plasma Phys. Contr. F. 44, R1 (2002).10.1088/0741-3335/44/1/201Search in Google Scholar

[31] C. Hollenstein, Plasma Phys. Contr. F 42, R93 (2000).10.1088/0741-3335/42/10/201Search in Google Scholar

[32] L. Brey, J. Dempsey, N. F. Johnson, and B. I. Halperin, Phys. Rev. B 42, 1240 (1990).10.1103/PhysRevB.42.1240Search in Google Scholar PubMed

[33] W-P. Hong, M. Jamil, A. Rasheed, and Y-D. Jung, Z. Naturforsch. 70, 413 (2015).10.1515/zna-2015-0080Search in Google Scholar

[34] W-P. Hong, M. Jamil, A. Rasheed, and Y-D. Jung, Phys. Plasmas 22, 073302 (2015).10.1063/1.4927134Search in Google Scholar

[35] A. Abdikian and Z. Ehsan, Phys. Lett. A 381, 2939 (2017).10.1016/j.physleta.2017.07.020Search in Google Scholar

[36] F. Verheest, P. Meuris, R. L. Mace, and M. A. Hellberg, Astrophys. Space Sci. 254, 253 (1997).10.1023/A:1000818113015Search in Google Scholar

[37] S. Hussain and S. Mahmooda, Phys. Plasmas 24, 032122 (2017).10.1063/1.4979131Search in Google Scholar

[38] U. de Angelis, Phys. Scr. 45, 465 (1992).10.1088/0031-8949/45/5/010Search in Google Scholar

[39] P. Sharma, S. Jain, and R. P. Prajapati, IEEE Trans. Plasma Sci. 44, 1 (2016).10.1109/TPS.2016.2626427Search in Google Scholar

[40] M. Jamil, M. Shahid, I. Zeba, M. Salimullah, H. A. Shah, et al., Phys. Plasmas 19, 023705 (2012).10.1063/1.3684641Search in Google Scholar

[41] G. Chabrier, F. Douchin, and A. Y. Potekhin, J. Phys. Condens. Matter 14, 9133 (2002).10.1088/0953-8984/14/40/307Search in Google Scholar

Received: 2017-5-14
Accepted: 2017-8-4
Published Online: 2017-9-11
Published in Print: 2017-9-26

©2017 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Dyons and Certain Symmetries in Maxwell’s Equations
  3. Shear Alfvén Wave with Quantum Exchange-Correlation Effects in Plasmas
  4. Homotopy Perturbation Method for Creeping Flow of Non-Newtonian Power-Law Nanofluid in a Nonuniform Inclined Channel with Peristalsis
  5. Asymptotic Analysis of a Nonlinear Problem on Domain Boundaries in Convection Patterns by Homotopy Renormalization Method
  6. The Exchange-Correlation Field Effect over the Magnetoacoustic-Gravitational Instability in Plasmas
  7. Structural, Spectroscopic, and Energetic Parameters of Diatomic Molecules Having Astrophysical Importance
  8. The Homotopy Perturbation Method for Accurate Orbits of the Planets in the Solar System: The Elliptical Kepler Equation
  9. Electron-Nuclear Dynamics on Amplitude and Frequency Modulation of Molecular High-Order Harmonic Generation from H2+ and its Isotopes
  10. Interaction Solutions for Lump-line Solitons and Lump-kink Waves of the Dimensionally Reduced Generalised KP Equation
  11. Discrete Solitons and Bäcklund Transformation for the Coupled Ablowitz–Ladik Equations
  12. Rapid Communication
  13. Nonclassical t-Dependent Energy Integral of q″+aq′+b(t)q+c(t)qn=0
https://doi.org/10.1515/zna-2017-0164
Keywords for this article
Fluid Model; Magnetoacoustic Wave; Quantum Plasmas; Self-Gravitational Instability

Articles in the same Issue

  1. Frontmatter
  2. Dyons and Certain Symmetries in Maxwell’s Equations
  3. Shear Alfvén Wave with Quantum Exchange-Correlation Effects in Plasmas
  4. Homotopy Perturbation Method for Creeping Flow of Non-Newtonian Power-Law Nanofluid in a Nonuniform Inclined Channel with Peristalsis
  5. Asymptotic Analysis of a Nonlinear Problem on Domain Boundaries in Convection Patterns by Homotopy Renormalization Method
  6. The Exchange-Correlation Field Effect over the Magnetoacoustic-Gravitational Instability in Plasmas
  7. Structural, Spectroscopic, and Energetic Parameters of Diatomic Molecules Having Astrophysical Importance
  8. The Homotopy Perturbation Method for Accurate Orbits of the Planets in the Solar System: The Elliptical Kepler Equation
  9. Electron-Nuclear Dynamics on Amplitude and Frequency Modulation of Molecular High-Order Harmonic Generation from H2+ and its Isotopes
  10. Interaction Solutions for Lump-line Solitons and Lump-kink Waves of the Dimensionally Reduced Generalised KP Equation
  11. Discrete Solitons and Bäcklund Transformation for the Coupled Ablowitz–Ladik Equations
  12. Rapid Communication
  13. Nonclassical t-Dependent Energy Integral of q″+aq′+b(t)q+c(t)qn=0
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