不可因式分解背景几何对星系团热力学的影响
Effect of nonfactorizable background geometry on thermodynamics of clustering of galaxies
摘要：
研究了不可因式分解背景几何对星系团热力学的影响。本文导出了引力星系系统的正则配分函数，该引力星系系统被视为包含在适当尺度的胞元中的点粒子。各种热力学状态方程，如亥姆霍兹自由能和熵等，也得到。我们还估计了修正后的牛顿定律对星系分布函数的影响。值得注意的是，修改后的牛顿定律的效果是只看到在聚类参数，而标准结构的方程被保留。将修正后的聚类参数与原聚类参数进行比较，直观地反映了修正对聚类时间尺度的影响。通过研究比热随系统温度的变化，分析了系统对称性破缺的可能性。
英文摘要：
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.
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