Abstract
The flow of an infinitely extending homogenous thermally conducting plasma permeated by a variable magnetic field is considered. The combined effect of several physical parameters, namely Hall currents, finite conductivity, ion viscosity and thermal conductivity on plasma instability is studied in the framework of Tsallis statistics. A new Jeans Criterion is derived, which depends explicitly on the nonextensive parameter q. The standard values are obtained in the limiting case q=1.
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Abe, S.: Phys. Lett. A 263, 424 (1999)
Ali, A., Bhatia, P.K.: Astrophys. Space Sci. 201, 15 (1993)
Ariel, P.D.: J. Plasma Phys. 4, 523 (1970)
Bhowmick, G.: J. Plasma Phys. 7, 117 (1972)
Chandrasekhar, S.: Hydrodynamics & Hydromagnetic Stability. Clarendon, Oxford (1961)
Chhajlani, R.H., Vaghela, D.S.: Astrophys. Space Sci. 134, 301 (1987). (Historical Archive)
Chhonkar, R.P.S., Bhatia, P.K.: Astrophys. Space Sci. 115, 327 (1985)
Cohen, E.G.D.: Physica A 305, 19 (2002)
Du, J.: Phys. Lett. A 320, 347 (2004a)
Du, J.: Phys. Lett. A 329, 262 (2004b)
Jeans, J.H.: Philos. Trans. R. Soc. Ser. A 199, 1 (1902)
Khan, A., Bhatia, P.K.: Indian J. Pure Appl. Math. 32(1), 99 (2001)
Kumar, S.S.: Publ. Astron. Soc. Jpn. 13, 121 (1961)
Lima, J.A.S., Silva, R., Santos, J.: Phys. Rev. E 61, 3260 (2000)
Lima, J.A.S., Silva, R., Plastino, A.R.: Phys. Rev. Lett. 86, 2938 (2001)
Lima, J.A.S., Silva, R., Santos, J.: Astron. Astrophys. 396, 309 (2002)
Liu, J.M., Groot, J.S.D., Matte, J.P., Johnston, T.W., Drake, R.P.: Phys. Rev. Lett. 72, 2717 (1994)
Padmanabhan, T.: Phys. Rep. 188, 285 (1990)
Plastino, A., Plastino, A.R.: Phys. Lett. A 174, 384 (1993)
Sharma, R.C., Chand, T.: Astrophys. Space Sci. 183(2), 215 (1990)
Silva, R., Alcaniz, J.S.: Phys. Lett. A 313, 393 (2003)
Silva, R., Plastino, A.R., Lima, J.A.S.: Phys. Lett. A 249, 401 (1998)
Taruya, A., Sakagami, M.: Physica A 318, 387 (2003)
Tsallis, C.: J. Stat. Phys. 52, 479 (1988)
Vyas, M.K., Chhajlani, R.K.: Astrophys. Space Sci. 149, 323 (1988)
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Shaikh, S., Khan, A. & Bhatia, P.K. Stability of thermally conducting plasma in a variable magnetic field. Astrophys Space Sci 312, 35–40 (2007). https://doi.org/10.1007/s10509-007-9609-2
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DOI: https://doi.org/10.1007/s10509-007-9609-2