Finite Tsallis gravitational partition function for a system of galaxies

被引：6

作者：

Hameeda, Mir ^{[1
,2
]}

Pourhassan, B. ^{[3
,4
]}

Rocca, M. C. ^{[5
,6
,7
]}

Faizal, Mir ^{[8
,9
]}

机构：

[1] SP Coll, Dept Phys, Srinagar 190001, Kashmir, India

[2] Inter Univ, Ctr Astron & Astrophys, Pune, Maharashtra, India

[3] Damghan Univ, Sch Phys, Box 3671641167, Damghan, Iran

[4] Canadian Quantum Res Ctr, 204-3002 32 Ave, Vernon, BC V1T 2L7, Canada

[5] Univ Nacl La Plata, Dept Fis, La Plata, Argentina

[6] Univ Nacl La Plata, Dept Matemat, La Plata, Argentina

[7] Consejo Nacl Invest Cient & Tecn, IFLP, CCT, CC 727, RA-1900 La Plata, Argentina

[8] Univ British Columbia, Irving K Barber Sch Arts & Sci, Kelowna, BC V1V 1V7, Canada

[9] Univ Lethbridge, Dept Phys & Astron, Lethbridge, AB T1K 3M4, Canada

来源：

GENERAL RELATIVITY AND GRAVITATION | 2021年 / 53卷 / 04期

关键词：

Galaxies; Tsallis statistics; Partition function; State equations;

D O I：

10.1007/s10714-021-02813-3

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper, we will study the large scale structure formation using the gravitational partition function. We will assertively argue that the system of gravitating galaxies can be analyzed using the Tsallis statistical mechanics. The divergences in the Tsallis gravitational partition function can be removed using the mathematical riches of the generalization of the dimensional regularization (GDR). The finite gravitational partition function thus obtained will be used to evaluate the thermodynamics of the system of galaxies and thus, to understand the clustering of galaxies in the universe. The correlation function which is beleived to contain the information of clustering of galaxies will also be discussed in this formalism.

引用

页数：13

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