书目名称 | Kinetic Theory of Gases in Shear Flows |
副标题 | Nonlinear Transport |
编辑 | Vicente Garzó,Andrés Santos |
视频video | |
概述 | Intermediate between an extensive review article and a text.Exhaustive treatment of the subject.Results are offered in a pedagogical and self-contained way and make connection with a broader context.T |
丛书名称 | Fundamental Theories of Physics |
图书封面 |  |
描述 | The kinetic theory of gases as we know it dates to the paper of Boltzmann in 1872. The justification and context of this equation has been clarified over the past half century to the extent that it comprises one of the most complete examples of many-body analyses exhibiting the contraction from a microscopic to a mesoscopic description. The primary result is that the Boltzmann equation applies to dilute gases with short ranged interatomic forces, on space and time scales large compared to the corresponding atomic scales. Otherwise, there is no a priori limitation on the state of the system. This means it should be applicable even to systems driven very far from its eqUilibrium state. However, in spite of the physical simplicity of the Boltzmann equation, its mathematical complexity has masked its content except for states near eqUilibrium. While the latter are very important and the Boltzmann equation has been a resounding success in this case, the full potential of the Boltzmann equation to describe more general nonequilibrium states remains unfulfilled. An important exception was a study by Ikenberry and Truesdell in 1956 for a gas of Maxwell molecules undergoing shear flow. They |
出版日期 | Book 2003 |
关键词 | Phase Transition; applied mathematics; chemical engineering; chemistry; dynamics; entropy; fluid mechanics |
版次 | 1 |
doi | https://doi.org/10.1007/978-94-017-0291-1 |
isbn_softcover | 978-90-481-6347-2 |
isbn_ebook | 978-94-017-0291-1Series ISSN 0168-1222 Series E-ISSN 2365-6425 |
issn_series | 0168-1222 |
copyright | Springer Science+Business Media Dordrecht 2003 |