Abstract
The effects of dust temperature and radiative heat-loss functions on the instability of selfgravitating homogeneous viscoelastic dusty plasma have been studied using the modified GH model. A general dispersion relation representing the dust temperature, radiative heat-loss functions, magnetic field, thermal conductivity and relaxation time parameters are obtained using the normal mode analysis method in the linearized perturbation equations system. Jeans criteria that represent the onset of instability of selfgravitating medium are obtained under the limits; when the medium behaves like a viscous liquid (strongly coupled limit) and a Newtonian liquid (weakly coupled limit) for some limiting cases. The effects of various parameters on the Jeans instability criteria and on the growth rate of selfgravitating viscoelastic dusty plasma have been discussed. It is found that the dust temperature and radiative heat-loss functions modify the instability criterion by reducing the critical wave number.
Similar content being viewed by others
References
Avinash, K., Shukla, P.K.: A purely growing instability in a gravitating dusty plasma. Phys. Lett. A 189, 470 (1994)
Banerjee, D.: Waves and Instabilities in Inhomogeneous Strongly Coupled Dusty Plasma. Thesis, Saha Institute of Nuclear Physics, Kolkata (2013)
Batchelor, G.K.: An Introduction to Fluid Dynamics. Cambridge University Press, Cambridge (2000)
Bhakta, S., Chhajlani, R.K., Prajapati, R.P.: Effects of radiation pressure and polarization force on Jeans instability in magnetized strongly coupled dusty plasma. Phys. Scr. 94, 4 (2019)
Chandrasekhar, S.: Hydrodynamics and Hydromagnetic Stability. Clarendon, Oxford (1961)
Chu, J.H., Lin, I.: Direct observation of Coulomb crystals and liquids in strongly coupled rf dusty plasmas. Phys. Rev. Lett. 72, 4009 (1994)
Dhiman, J.S., Sharma, R.: Effect of rotation on the growth rate of magnetogravitational instability of a viscoelastic medium. Phys. Scr. 89, 125001 (2014)
Dolai, B., Prajapati, R.P.: Effects of dust-charge gradient and polarization forces on the waves and Jeans instability in strongly coupled dusty plasma. Phys. Lett. A 126462 (2020). https://doi.org/10.1016/j.physleta.2020.126462
Dwivedi, C.B., Singh, R., Avinash, K.: Effect of radiative condensation on Jeans instability. Phys. Scr. 53, 760 (1996)
Hayashi, Y., Tachibana, K.: Observation of Coulomb-crystal formation from carbon particles grown in a methane plasma. Jpn. J. Appl. Phys. 33, L804 (1994)
Ikezi, H.: Coulomb solid of small particles in plasmas. Phys. Fluids 29(6), 1764 (1986)
Janaki, M.S., Chakrabarti, N.: Shear wave vortex solution in a strongly coupled dusty plasma. Phys. Plasmas 17, 053704 (2010)
Janaki, M.S., Chakrabarti, N., Benerjee, D.: Jeans instability in a viscoelastic fluid. Phys. Plasmas 18, 012901 (2011)
Jeans, J.H.: The stability of a spherical nebula. Philos. Trans. R. Soc. 199, 1 (1902)
Kaw, P.K., Sen, A.: Low frequency modes in strongly coupled dusty plasmas. Phys. Plasmas 5, 3552 (1998)
Kaw, K.K., Nishikawa, K., Sato, N.: Rotation in collisional strongly coupled dusty plasmas in a magnetic field. Phys. Plasmas 9(2), 387 (2002)
Konopka, U., Samsonov, D., Ivlev, A.V., Goree, J., Steinberg, V., Morfill, G.: Rigid and differential plasma crystal rotation induced by magnetic fields. Phys. Rev. E 61, 1890 (2000)
Mace, R.L., Verheest, F., Hellberg, M.A.: Jeans stability of dusty space plasmas. Phys. Lett. A 237, 146 (1998)
Mahanta, L., Saikia, B.J., Pandey, B.P., Bujarbarua, S.: Dynamics of a magnetized gravitating dusty plasma. J. Plasma Phys. 55(3), 401 (1996)
Mamun, A.A.: Effects of dust temperature and fast ions on gravitational instability in a self-gravitating magnetized dusty plasma. Phys. Plasmas 5(10), 3542 (1998)
Mamun, A.A., Shukla, P.K.: Shear Alfvén-like waves in a weakly ionized self-gravitating nonuniform dusty magnetoplasma. Phys. Plasmas 8, 3513 (2001)
Menou, K., Balbus, A.S., Spruit, C.H.: Local axisymmetric diffusive stability of weakly magnetized, differentially rotating, stratified fluids. Astrophys. J. 607, 564 (2004)
Pandey, B.P., Krishan, V.: Effect of radiative cooling on molecular cloud collapse. IEEE Trans. Plasma Sci. 29, 307 (2001)
Pandey, B.P., Avinash, K., Dwivedi, C.B.: Jeans instability of a dusty plasma. Phys. Rev. E 49, 5599 (1994)
Prajapati, R.P., Bhakta, S.: Radiative-condensation instability in gravitating strongly coupled dusty plasma with polarization force. Astrophys. Space Sci. 357, 101 (2015a)
Prajapati, R.P., Bhakta, S.: Influence of dust charge fluctuation and polarization force on radiative condensation instability of magnetized gravitating dusty plasma. Phys. Lett. A 379, 2723 (2015b)
Prajapati, R.P., Chhajlani, R.K.: Effect of dust temperature on radiative condensation instability of self-gravitating magnetized dusty plasma. Phys. Scr. 81, 045501 (2010)
Prajapati, R.P., Chhajlani, R.K.: Self-gravitational instability in magnetized finitely conducting viscoelastic fluid. Astrophys. Space Sci. 344, 371 (2013)
Prajapati, R.P., Chhajlani, R.K.: Effect of quantum corrections on the Jeans instability of self-gravitating viscoelastic dusty fluid. Astrophys. Space Sci. 350, 637 (2014)
Rosenberg, M., Shukla, P.K.: Instabilities in strongly coupled ultracold neutral plasmas. Phys. Scr. 83, 015503 (2011)
Sato, N., Uchida, G., Kamimura, T., Lizuka, S.: In: Horanyi, M., et al. (eds.) Physics of Dusty Plasmas, p. 239. American Institute of Physics, New York (1998)
Sato, N., Uchida, G., Kamimura, T., Uchida, G., Lizuka, S.: In: Nakamura, Y., et al. (eds.): Frontiers in Dusty Plasmas, p. 329. Elsevier, New York (2000)
Sato, N., Uchida, G., Kaneko, T., Shimizu, S., Lizuka, S.: Dynamics of fine particles in magnetized plasmas. Phys. Plasmas 8, 1786 (2001)
Sharma, P.: Modified Jeans instability of strongly coupled inhomogeneous magneto dusty plasma in the presence of polarization force. Lett. J. Explor. Front. Phys. EPL 107, 15001 (2014)
Shukla, P.K., Sandberg, I.: Radiation-condensation instability in a self-gravitating dusty astrophysical plasma. Phys. Rev. E 67, 036401 (2003)
Shukla, P.K., Stenflo, L.: Jeans instability in a self-gravitating dusty plasma. Proc. R. Soc. Lond. 462, 403 (2006)
Shukla, P.K., Verheest, F.: Jeans instability in collisional dusty plasmas. Astrophys. Space Sci. 262, 157 (1999)
Thomas, H., Morfill, G.E., Demmel, V., Goree, J., Feuerbacher, B., Möhlmann, D.M.: Plasma crystal: Coulomb crystallization in a dusty plasma. Phys. Rev. Lett. 73, 652 (1994)
Tsintsadze, N.L., Chaudhary, R., Shah, H.A., Murtaza, G.: Jeans instability in a magneto-radiative dusty plasma. J. Plasma Phys. 74, 847 (2008)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Sharma, R., Bhardwaj, S. & Dhiman, J.S. Effects of dust temperature and radiative heat-loss functions on the magnetogravitational instability of viscoelastic dusty plasma. Astrophys Space Sci 365, 106 (2020). https://doi.org/10.1007/s10509-020-03822-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-020-03822-5