The spatially one-dimensional relativistic Ornstein-Uhlenbeck process in an arbitrary inertial frame
The spatially one-dimensional relativistic Ornstein-Uhlenbeck process in an arbitrary inertial frame
复制标题
任意惯性系中的空间一维相对论奥恩斯坦-乌伦贝克过程
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
J. Rivet
中科院分区：
文献类型：
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作者：
C. Barbachoux;F. Debbasch;J. Rivet
翻译后摘要：在任意惯性参考系的空间一维相对论性Ornstein-Uhlenbeck过程进行了研究。特别地，我们直接从任意惯性系中的随机运动方程导出相空间中扩散粒子分布函数的输运方程。我们解释了为什么这个结果不是微不足道的，至少，方法论的兴趣。我们还表明，这一结果提供了一个众所周知的事实，即相对论性的单粒子分布函数在相空间是一个洛伦兹标量概念上的新的证明。
Abstract:The spatially one-dimensional relativistic Ornstein-Uhlenbeck process is studied in an arbitrary inertial reference frame. In particular, we derive directly from the stochastic equations of motion in an arbitrary inertial frame the transport equation for the distribution function of the diffusing particles in phase-space. We explain why this result is not trivial and has, at the very least, methodological interest. We also show that this result offers a conceptually new proof of the well-known fact that the relativistic one-particle distribution function in phase-space is a Lorentz scalar.