玻尔兹曼动力学理论中的粒子
Paradoxes in the Boltzmann kinetic theory
摘要：
介绍了玻尔兹曼动力学理论中的一些参数。首先，指出通常关于分布函数的完全连续性的概念并不普遍有效;在许多重要情况下，使用某些类型的不连续分布函数是绝对必要的。其次，它揭示了没有时间可逆性方面的束-束碰撞，并与此相关，有内在的困难，制定的净变化的分子密度由于碰撞，无论是在三维速度空间或在六维相空间。借助简单的例子，这些悖论清晰地显现出来。
英文摘要：
Paradoxes in the Boltzmann kinetic theory are presented. Firstly, it is pointed out that the usual notion concerning the perfect continuity of distribution function is not generally valid; in many important situations using certain types of discontinuous distribution functions is an absolute must. Secondly, it is revealed that there is no time reversibility in terms of beam-to-beam collisions and, in connection with this, there are intrinsic difficulties in formulating the net change of molecular density due to collisions, either in the three-dimensional velocity space or in the six-dimensional phase space. With help of simple examples, the paradoxes manifest themselves clearly.
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