论文标题
不可分割的背景几何形状对星系聚类热力学的影响
Effect of nonfactorizable background geometry on thermodynamics of clustering of galaxies
论文作者
论文摘要
我们研究了不可分割的背景几何形状对星系聚类热力学的影响。对于适当尺寸的细胞中包含的点粒子的引力系统，得出了一个规范分区函数。还获得了各种状态热力学方程，例如Helmholtz自由能和熵等。我们还估计了校正的牛顿法对星系分布函数的影响。值得注意的是，在保留方程式的标准结构时，仅在聚类参数中可以看到修改后的牛顿定律的效果。对修改的聚类参数与原始聚类参数的比较是为了可视化校正对聚类时间尺度的效果。还通过研究系统温度升高来研究特定热量的行为，可以分析系统对称性破坏的可能性。
We study the effect of nonfactorizable background geometry on the thermodynamics of the clustering of galaxies. A canonical partition function is derived for the gravitating system of galaxies treated as point particles contained in cells of appropriate dimensions. Various thermodynamic equations of state, like Helmholtz free energy and entropy, among others, are also obtained. We also estimate the effect of the corrected Newton law on the distribution function of galaxies. Remarkably, the effect of the modified Newton law is seen only in the clustering parameter while the standard structure of the equations is preserved. A comparison of the modified clustering parameter with that of the original clustering parameter is made to visualize the effect of the correction on the time scale of clustering. The possibility of system symmetry breaking is also analyzed by investigating the behavior of the specific heat with increasing system temperature.
