Jeans gravitational instability with κ-deformed Kaniadakis distribution in Eddington-inspired Born–Infield gravity

doi:10.1088/1674-1056/abb3f0

中国物理B ›› 2020, Vol. 29 ›› Issue (11): 110401-.doi: 10.1088/1674-1056/abb3f0

Wei-Heng Yang(杨伟恒)¹^,², Yu-Zhen Xiong(熊玉珍)¹^,², Hui Chen(陈辉)¹^,²^,†(), San-Qiu Liu(刘三秋)¹^,²

收稿日期:2020-07-11 修回日期:2020-08-16 接受日期:2020-09-01 出版日期:2020-11-05 发布日期:2020-11-03

Jeans gravitational instability with κ-deformed Kaniadakis distribution in Eddington-inspired Born–Infield gravity

Wei-Heng Yang(杨伟恒)^1,2, Yu-Zhen Xiong(熊玉珍)^1,2, Hui Chen(陈辉)^{1,2, †}, and San-Qiu Liu(刘三秋)^1,2$

1 Department of Physics, Nanchang University, Nanchang 330031, China
2 Jiangxi Provincial Key Laboratory of Fusion and Information Control, Nanchang 330031, China

Received:2020-07-11 Revised:2020-08-16 Accepted:2020-09-01 Online:2020-11-05 Published:2020-11-03
Contact: ^†Corresponding author. E-mail: hchen61@ncu.edu.cn
Supported by:
the National Natural Science Foundation of China (Grant Nos. 11763006 and 11863004) and the Fund from the Jiangxi Provincial Key Laboratory of Fusion and Information Control (Grant No. 20171BCD40005).

摘要/Abstract

Abstract:

Based on the framework of Kaniadakis’ statistics and its related kinetic theory, the Jeans instability for self-gravitational systems in the background of Eddington-inspired Born–Infield (EiBI) gravity is revisited. A dispersion relation generalizing the Jeans modes is derived by modifying the Maxwellian distribution to a family of power law distributions parameterized by the κ parameter. It is established that the κ-deformed Kaniadakis distribution has significant effects on the Jeans modes of the collisionless EiBI-gravitational systems. And as expected, in the limitation κ → 0, the corresponding results for Maxwellian case are recovered. The related result in the present work is valuable for the investigations involving the fields of astrophysics such as neutron stars, accretion disks, and relevant plasma physics, etc.

Key words: Jeans instability, EiBI gravity, κ-deformed Kaniadakis distribution

Wei-Heng Yang(杨伟恒), Yu-Zhen Xiong(熊玉珍), Hui Chen(陈辉), San-Qiu Liu(刘三秋). [J]. 中国物理B, 2020, 29(11): 110401-.

Wei-Heng Yang(杨伟恒), Yu-Zhen Xiong(熊玉珍), Hui Chen(陈辉), and San-Qiu Liu(刘三秋)$. Jeans gravitational instability with κ-deformed Kaniadakis distribution in Eddington-inspired Born–Infield gravity[J]. Chin. Phys. B, 2020, 29(11): 110401-.

图/表 4

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