论文标题
相对论鲍尔茨曼分布的推导
Derivation of a Relativistic Boltzmann Distribution
论文作者
论文摘要
相对论热力学和统计物理学的框架是通过首先利用Boltzmann分布推导的能量和动量之间的对称性来构建的,然后使用Einstein的能量弹药关系来为分区功能推导PDE。结果表明,扩展的玻尔兹曼分布意味着存在逆四个温度的存在,而分区函数的形式pde的形式则意味着存在经典统计的可定量场理论,并带有相关的重力(如仪表理论)的提示。然后,使用框架的适应来得出热力学确定性关系。
A framework for relativistic thermodynamics and statistical physics is built by first exploiting the symmetries between energy and momentum in the derivation of the Boltzmann distribution, then using Einstein's energy-momentum relationship to derive a PDE for the partition function. It is shown that the extended Boltzmann distribution implies the existence of an inverse four-temperature, while the form of the partition function PDE implies the existence of a quantizable field theory of classical statistics, with hints of an associated gravity like gauge theory. An adaptation of the framework is then used to derive a thermodynamic certainty relationship.