论文标题
热力学诱导的自我磨化系统的几何形状
Thermodynamics induced geometry of self-gravitating systems
论文作者
论文摘要
提出了一种基于统计运算符的新方法，该方法可以考虑由重力相互作用引起的不均匀粒子分布。该方法使用鞍点程序来找到对统计总和的主要贡献，并允许获得自我散热系统的所有热力学关系。根据热力学关系，提出了热力学诱导的物质分布几何形状的描述。对应于统计总和极值的方程式完全重现了相对论一般理论的众所周知的方程。
A new approach based on a statistical operator is presented, which allows to take into account the inhomogeneous particle distribution induced by gravitational interaction. This method uses the saddle point procedure to find the dominant contribution to the statistical sum and allows to obtain all thermodynamic relations of self-gravitating systems. Based on thermodynamic relations, a description of thermodynamically induced geometry of matter distribution was proposed. Equations corresponding to the extremum of the statistical sum completely reproduce the well-known equations of the general theory of relativity.
