A UNIFYING APPROACH TO RELATIVISTIC DIFFUSIONS AND H-THEOREMS
A UNIFYING APPROACH TO RELATIVISTIC DIFFUSIONS AND H-THEOREMS
复制标题
相对论扩散和 H 定理的统一方法
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
F. Debbasch
中科院分区：
文献类型：
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作者：
C. Chevalier;F. Debbasch
介绍了一类新的、宽的相对论性随机过程。到目前为止，文献中考虑的所有相对论过程（相对论奥恩斯坦-乌伦贝克过程以及弗朗基-勒扬过程和邓克尔-杭吉过程）都属于这一类。对于该类中的每个过程，得到了运动的随机方程和相应的前向Kolmogorov方程。得到了相应的显协变输运方程。特别是，明显的协变方程的Franchi-Le Jan和Dunkel-Hanggi过程在这里导出的第一次。最后，显协变方法被用来证明一个新的H-定理的类中的所有过程。
A new, wide class of relativistic stochastic processes is introduced. All relativistic processes considered so far in the literature (the Relativistic Ornstein–Uhlenbeck Process as well as the Franchi–Le Jan and the Dunkel–Hanggi processes) are members of this class. The stochastic equations of motion and the associated forward Kolmogorov equations are obtained for each process in the class. The corresponding manifestly covariant transport equation is also obtained. In particular, the manifestly covariant equations for the Franchi–Le Jan and the Dunkel–Hanggi processes are derived here for the first time. Finally, the manifestly covariant approach is used to prove a new H-theorem for all processes in the class.