从加速系中的热平衡推导相对论经典标量辐射的Planck谱
Derivation of the Planck Spectrum for Relativistic Classical Scalar Radiation from Thermal Equilibrium in an Accelerating Frame
摘要：
在经典物理学中，利用加速坐标系推导了热标量辐射的普朗克谱。该推导类似于波尔兹曼通过考虑均匀引力场中非相互作用粒子的热平衡来推导热粒子速度的麦克斯韦速度分布。在辐射的情况下，引力场由穿过闵可夫斯基时空的林德勒坐标系的加速度提供。在推导过程中，经典的零点辐射和相对论物理以必不可少的方式进入，它是基于自由辐射场的行为和假设场的关联函数在热平衡中只包含一个关联时间。这项工作与相对论量子场论中发现的加速热效应有关。
英文摘要：
The Planck spectrum of thermal scalar radiation is derived suggestively within classical physics by the use of an accelerating coordinate frame. The derivation has an analogue in Boltzmann's derivation of the Maxwell velocity distribution for thermal particle velocities by considering the thermal equilibrium of noninteracting particles in a uniform gravitational field. For the case of radiation, the gravitational field is provided by the acceleration of a Rindler frame through Minkowski spacetime. Classical zero-point radiation and relativistic physics enter in an essential way in the derivation which is based upon the behavior of free radiation fields and the assumption that the field correlation functions contain but a single correlation time in thermal equilibrium. The work has connections with the thermal effects of acceleration found in relativistic quantum field theory.
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