论文标题

Boltzmann和Tsallis统计方法在大距离内研究量子校正和星系聚类

Boltzmann and Tsallis statistical approaches to study Quantum corrections at large distances and clustering of galaxies

论文作者

Hameeda, M., Gani, Q., Pourhassan, B., Rocca, M. C.

论文摘要

重力与其他基本力是如此之不同,以至于它现在实际上被视为熵起源的非基本力量。已经朝这个方向进行了许多良好的研究。量子重力也通过将重力与量子物理良好结合在一起,从而显着改善了我们的理解。但是,我们的理解仍然存在许多障碍,尤其是在极端的局限性方面。量子重力的效果开始出现在普兰克长度上的场景上,这是迄今为止理想化的自然界最小的长度。尽管这项研究结合了一个模型,该模型适用于在较小距离处的势能校正,但我们也大胆地尝试将其自信地用于在很大距离的情况下进行校正。该模型使用两种技术,即Boltzmann和Tsallis统计方法来探索Brane World模型范围内的热力学,从而进一步修改了版本。我们通过使用Boltzmann和Tsallis统计方法来计算分区函数,然后使用它来研究Brane世界模型的热力学。我们在分析和图形上分析了热力学量(例如Helmholtz自由能和特定热量)。还根据星系数量讨论了模型的热力学稳定性。

Gravity is so different from other fundamental forces that it is now essentially treated as a non-fundamental force of entropic origin. A number of good studies have been carried out in this direction. Quantum gravity has also significantly improved our understanding by combining gravity well with quantum physics. However, there are still many impediments to our understanding especially in the limits of extreme. The effects of quantum gravity start appearing on the scene at Planck length which is the smallest length in nature idealized so far. While as this study incorporates a model which is valid for potential energy corrections at small distances but we have also given a bold try to use it confidently for the corrections at very large distances as well. The model uses two techniques namely Boltzmann and Tsallis statistical approaches to explore the thermodynamics within the ambit of brane world model giving its further modified version. We have computed partition function by using both Boltzmann and Tsallis statistical approaches and then used it to study thermodynamics of the brane world model. We have analyzed both analytically and graphically, the thermodynamic quantities like Helmholtz free energy and specific heat. The thermodynamic stability of the model is also discussed depending on the number of galaxies.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源