Issue |
EPL
Volume 139, Number 6, September 2022
|
|
---|---|---|
Article Number | 69003 | |
Number of page(s) | 4 | |
Section | Gravitation, cosmology and astrophysics | |
DOI | https://doi.org/10.1209/0295-5075/ac8f6a | |
Published online | 20 September 2022 |
Corrections to the thermodynamic quantities of Bose system by the generalized uncertainty principle
Centre for Astrophysics, Guangzhou University - Guangzhou 510006, China
(a) E-mail: jxli_2020@163.com
(b) E-mail: zhangjy@gzhu.edu.cn (corresponding author)
Received: 21 June 2022
Accepted: 5 September 2022
This paper investigated the Bose system in a spherical shell close to the black hole horizon. Several thermodynamic quantities of the Bose system are derived, which are different from those in the flat spacetime, by introducing the generalized uncertainty principle (GUP) into the grand partition function of statistical mechanics. The internal energy and the pressure of the Bose system appear to have a correction term of T6, while the entropy has a T5 correction term where both the coefficients are functions of the spacetime component g00 and the brick wall model parameter ϵ. Taking the Schwarzschild black hole as an example, the physical quantities of the shell such as temperature, pressure and entropy are calculated for the final stage of black hole radiation.
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