dorsal/arxiv
View SchemaParadoxes in the Boltzmann kinetic theory
| Authors | C. Y. Chen |
|---|---|
| Categories | |
| ArXiv ID | physics/0312043 |
| URL | https://arxiv.org/abs/physics/0312043 |
Abstract
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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"abstract": "Paradoxes in the Boltzmann kinetic theory are presented. Firstly, it is\npointed out that the usual notion concerning the perfect continuity of\ndistribution function is not generally valid; in many important situations\nusing certain types of discontinuous distribution functions is an absolute\nmust. Secondly, it is revealed that there is no time reversibility in terms of\nbeam-to-beam collisions and, in connection with this, there are intrinsic\ndifficulties in formulating the net change of molecular density due to\ncollisions, either in the three-dimensional velocity space or in the\nsix-dimensional phase space. With help of simple examples, the paradoxes\nmanifest themselves clearly.",
"arxiv_id": "physics/0312043",
"authors": [
"C. Y. Chen"
],
"categories": [
"physics.class-ph",
"physics.flu-dyn"
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"title": "Paradoxes in the Boltzmann kinetic theory",
"url": "https://arxiv.org/abs/physics/0312043"
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