| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Jeans Gravitational Instability with $\kappa $-Deformed Kaniadakis Distribution |
| Hui Chen1**, Shi-Xuan Zhang1,2, San-Qiu Liu1 |
1Department of Physics, Nanchang University, Nanchang 330047
2School of Science, East China University of Technology, Nanchang 330013
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| Cite this article: |
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Hui Chen, Shi-Xuan Zhang, San-Qiu Liu 2017 Chin. Phys. Lett. 34 075101 |
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Abstract The Jeans instabilities in an unmagnetized, collisionless, isotropic self-gravitating matter system are investigated in the context of $\kappa$-deformed Kaniadakis distribution based on kinetic theory. The result shows that both the growth rates and critical wave numbers of Jeans instability are lower in the $\kappa$-deformed Kaniadakis distributed self-gravitating matter systems than the Maxwellian case. The standard Jeans instability for a Maxwellian case is recovered under the limitation $\kappa=0$.
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Received: 27 December 2016
Published: 23 June 2017
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| PACS: |
51.10.+y
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(Kinetic and transport theory of gases)
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05.20.-y
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(Classical statistical mechanics)
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| Fund: Supported by the National Natural Science Foundation of China under Grant No 11665012, the International Science and Technology Cooperation Program of China under Grant No 2015DFA61800, and the Natural Science Foundation of Jiangxi Province under Grant Nos 20151BAB212010 and 2015ZBAB202006. |
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| [1] | Jeans J H 1929 Astronomy and Cosmogony (Cambridge: Cambridge University Press) | | [2] | Binney J and Tremaine S 1987 Galactic Dynamics (Princeton: Princeton Univeristy Press) | | [3] | Trigger S A, Ershkovich A I, van Heijst G J F and Schram P P J M 2004 Phys. Rev. E 69 066403 | | [4] | Shan S A and Mushtaq A 2011 Chin. Phys. Lett. 28 075204 | | [5] | Pandey B P, Avinash K and Dwivedi C B 1994 Phys. Rev. E 49 5599 | | [6] | Guo Z R, Yang Z Q, Yin B X and Sun M Z 2010 Chin. Phys. B 19 115203 | | [7] | Mace R L, Verheest F and Hellberg M A 1998 Phys. Lett. A 237 146 | | [8] | Lima J A S, Siliva R and Santos J 2002 Astron. Astrophys. 396 309 | | [9] | Du J L 2004 Phys. Lett. A 320 347 | | [10] | Qian Y Z, Chen H and Liu S Q 2014 Phys. Plasmas 21 113703 | | [11] | Abreu E M C, Neto J A, Barboza E M and Nunes R C 2016 Europhys. Lett. 114 55001 | | [12] | Kaniadakis G 2001 Physica A 296 405 | | [13] | Beck C and Cohen E G D 2003 Physica A 322 267 | | [14] | Ourabah K, Gougam L A and Tribeche M 2015 Phys. Rev. E 91 012133 | | [15] | Ourabah K and Tribeche M 2014 Phys. Rev. E 89 062130 | | [16] | Ourabah K, Hamici-Bendimerad A H and Tribeche M 2015 Phys. Scr. 90 045101 | | [17] | Kaniadakis G 2002 Phys. Rev. E 66 056125 | | [18] | Teweldeberhan A M, Miller H G and Tegen G 2003 Int. J. Mod. Phys. E 12 669 | | [19] | Rossani A and Scarfone A M 2004 J. Phys. A 37 4955 | | [20] | Biro T S and Kaniadakis G 2006 Eur. Phys. J. B 50 3 | | [21] | Casas G A, Nobre F D and Curado E M F 2012 Phys. Rev. E 86 061136 | | [22] | Clementi F, Gallegati M, Kaniadakis G and Landini S 2016 Eur. Phys. J. Spec. Top. 225 1959 | | [23] | Gougam L A and Tribeche M 2016 Phys. Plasmas 23 014501 | | [24] | Li X Q 2003 Collpse dynamics of Plasmons (Beijing: China Science and Technology Publishing) (in Chinese) | | [25] | Tsytovich V N, Ivlev A V, Burkert A and Morfill G E 2013 Astrophys. J. 780 131 |
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