论文标题
完美流体的相对论热力学
Relativistic thermodynamics of perfect fluids
论文作者
论文摘要
广泛的热力学量的相对论连续性方程是根据Stückelberg概述的Minkowski空间中的差异定理得出的。这种协变量的方法导致了热力学第一和第二定律的相对论表述。内部能量密度和相对论的完美流体的压力携带惯性，从而导致热与工作之间的相对论耦合。得出相对论惯性的相对论连续性方程。确定了Euler方程中的相对论校正和能量和动量的连续性方程。这个相对论的理论框架允许基于能量密度，熵密度，质量密度和数量密度的相对论转化定律的温度，压力和化学势的相对论转化定律的严格推导。
The relativistic continuity equations for the extensive thermodynamic quantities are derived based on the divergence theorem in Minkowski space outlined by Stückelberg. This covariant approach leads to a relativistic formulation of the first and second laws of thermodynamics. The internal energy density and the pressure of a relativistic perfect fluid carry inertia, which leads to a relativistic coupling between heat and work. The relativistic continuity equation for the relativistic inertia is derived. The relativistic corrections in the Euler equation and in the continuity equations for the energy and momentum are identified. This relativistic theoretical framework allows a rigorous derivation of the relativistic transformation laws for the temperature, the pressure and the chemical potential based on the relativistic transformation laws for the energy density, the entropy density, the mass density and the number density.
