Gravitational Instability of Cylindrical Viscoelastic Medium Permeated with Non Uniform Magnetic Field and Rotation

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• 作者：Joginder Singh Dhiman ; Rajni Sharma
• 关键词：Jeans criterion ; viscoelastic medium ; non uniform magnetic field ; non uniform rotation ; strongly coupled plasma (SCP) ; weakly coupled plasma (WCP)
• 刊名：Journal of Astrophysics and Astronomy
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：37
• 期：1
• 全文大小：197 KB
• 参考文献：Anand, S. P. S, Kushwaha, R. S. 1962, Proc. Phys. Soc., 79, 1089.ADS CrossRef
  Argal, S., Tiwari, A., Sharma, P. K. 2014, A Letters Journal Exploring The Frontiers of Physics, EPL, 108, 35003.
  Bel, N., Schatzman, E. 1958, Rev. Mod. Phys., 30, 1015.ADS CrossRef
  Chandrasekhar, S. 1961, Hydrodynamic and hydromagnetic stability, Oxford University Press, Oxford.MATH
  Devanathan, C. 1962, Annales d’Astrophysique, 25, 400.ADS MathSciNet
  Dhiman, J. S., Dadwal, R. 2010, Astrophys. Space Sci., 325 (2), 195.ADS CrossRef
  Dhiman, J. S., Dadwal, R. 2011, Astrophys. Space Sci., 332, 373.ADS CrossRef
  Dhiman, J. S., Sharma, R. 2014a, Int. J. Tech., 4 (1), 7.
  Dhiman, J. S., Sharma, R. 2014b, Phys. Scr., 89, 125001.ADS CrossRef
  Dibai, E. A. 1958, SvA, 2, 226.ADS
  Hasan, A. A., Abdelkhalek, R.A. 2013, Boundary Value Problems, 2013, 48.MathSciNet CrossRef
  Hayward, S. A. 2000, Class. Quantum Grav., 17, 1749.ADS MathSciNet CrossRef
  Hunter, J. H. Jr., Whitaker, R. W., Lovelace, R. V. E. 1997, The Astrophysical Journal, 482, 852.ADS CrossRef
  Hunter, J. H. Jr., Whitaker, R. W., Lovelace, R. V. E. 1998, The Astrophysical Journal, 508, 680.ADS CrossRef
  Ikeji, H. 1986, Phys. Fluids, 29 (6), 1764.ADS CrossRef
  Janaki, M. S., Chakrabarti, N. 2010, Phys. Plasmas, 17, 053704.ADS CrossRef
  Janaki, M. S., Chakrabarti, N., Benerjee, D. 2011, J. Phys. Plasmas, 18, 012901.ADS CrossRef
  Jeans, J. H. 1902, Philos. Trans. R. Soc. Lond., 199, 1.ADS CrossRef
  Kaw, P. K., Sen, A. 1998, Phys. Plasmas, 5, 3552.ADS CrossRef
  Kaw, K. K., Nishikawa, K., Sato, N. 2002, Phys. Plasmas, 9 (2), 387.ADS CrossRef
  Konopka, U., Samsonov, D., Iviev, A. V., Goree, V., Steinberg, V., Morfill, G. E. 2000, Phys. Rev. E., 61, 1890.ADS CrossRef
  Nagasawa, M. 1987, Prog. Theor. Phys., 77 (3), 635.ADS CrossRef
  Nakao, K., Harada, T., Kurita, Y. Morisawa, Y. 2009, Prog.Theor. Phys., 122, 52.CrossRef
  Prajapati, R. P., Chhajlani, R. K., 2013, Astrophys. Space Sci., 344, 371.ADS CrossRef
  Prajapati, R. P., Sharma, P. K., Sanghvi, R. K. Chhajlani, R. K. 2012, Physics. J. Conference Series, 365.
  Radwan, A. E. Hasan, A. A. 2009, Appl. Math. Model., 33 (4), 2121.MathSciNet CrossRef
  Rosenberg, M. Shukla, P. K. 2011, Phys. Scr., 83, 015503.ADS CrossRef
  Sato, N., Uchida, G., Kamimura, T. Lizuka, S. 1998, Physics of Dusty plasmas, edited by M. Horanyi et al. (American Institute of Physics, New York), 239.
  Sato, N., Uchida, G., Kamimura, T., Uchida, G. Lizuka, S. 2000, Frontiers in Dusty Plasmas, edited by Y. Nakamura et al. (Elsevier Science, New York), 329.
  Sato, N., Uchida, G., Kaneko, T., Shimizu, S. Lizuka, S. 2001, Phys. Plasmas, 8, 1786.ADS CrossRef
  Sharif, M. Abbas, G. 2011, J. Phys. Soc. Jpn., 80, 104002.ADS CrossRef
  Sharif, M. Ahmad, Z. 2007, Gen. Relativ. Gravit., 39, 1331.ADS MathSciNet CrossRef
  Shore, S. N. 1992, An Introduction to Astrophysical Hydrodynamics, Academic Press , New York.
  Simon, R. 1962, Annales d’Astrophysique, 25, 405.ADS
  
• 作者单位：Joginder Singh Dhiman (1)
  Rajni Sharma (1)
  
  1. Department of Mathematics, Himachal Pradesh University, Summerhill, Shimla, 171 005, India
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer India
• ISSN：0973-7758

文摘

The self-gravitating instability of an infinitely extending axisymmetric cylinder of viscoelastic medium permeated with non uniform magnetic field and rotation is studied for both the strongly coupled plasma (SCP) and weakly coupled plasma (WCP). The non uniform magnetic field and rotation are considered to act along the axial direction of the cylinder. The normal mode method of perturbations is applied to obtain the dispersion relation. The condition for the onset of gravitational instability has been derived from the dispersion relation under both strongly and weakly coupling limits. It is found that the Jeans criterion for gravitational collapse gets modified due to the presence of shear and bulk viscosities for the SCP, however, the magnetic field and rotation whether uniform or non uniform has no effect on the Jeans criterion of an infinitely extending axisymmetric cylinder of a self-gravitating viscoelastic medium.