发表机构
Department of Mathematics and Statistics, Heramba Chandra College; Department of Mathematics, University of North Bengal; Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology（赫伦巴·昌德拉学院数学与统计系; 北孟加拉大学数学系; 阿卜杜勒·卡拉姆·阿扎德理工大学应用数学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究结合观测数据与不可逆热力学，分析 $f(Q)=Q+mQ^n$ 引力模型，确定最佳拟合参数，检验热力学定律，并探讨宇宙学参数演化，与 $\Lambda$CDM 对比。
AI 中文摘要
本研究从统计分析与不可逆热力学的角度，研究了 $f(Q)$ 引力的幂律形式（$f(Q)=Q+mQ^n$）。利用31点哈勃数据、Pantheon型超新星数据和1721点SH0ES数据，确定了模型特定参数的最佳拟合值，并与标准 $\Lambda$CDM 模型进行了比较研究。使用标准 Eckart 非平衡热力学理论，独立检验了 $f(Q)$ 引力一般形式的热力学结果，随后针对其幂律形式，利用统一热力学定律计算了视界熵。通过检验广义第二热力学定律和热力学平衡的有效性，探索了幂律模型特定参数的合适范围。最后，在与统计和热力学分析结果兼容的特定 $m,n$ 范围内，研究了宇宙学参数（cosmographic parameters）的演化性质。
英文摘要
In this study, the power law form of f(Q) gravity $(f(Q)=Q+mQ^n)$ has been studied in view of statistical analysis with current observed data and irreversible thermodynamics. The best fit values of model specific parameters are found with the use of of 31point Hubble data, Patntheon type Supernva and 1721 point SH0ES data and a comparative study has been performed between $f(Q)$ and standard $Λ$CDM model. The thermodynamic consequence using standard Eckart theory of non-equilibrium thermodynamics has been examined independently for general form of $f(Q)$ gravity followed by power law form of $f(Q)$ where the horizon entropy is calculated using unified law of thermodynamics. Suitable range of power law model specific parameters has been explored through investigating validity of generalized second law of thermodynamics and thermodynamic equilibrium. Finally evolution nature of cosmographic parameters are studied within the specific range of $m,n$ which is compatible with the results obtained from both statistical and thermodynamical analysis.
Comments25 pages, 9 figures
