@article{oai:jaxa.repo.nii.ac.jp:00034494,
 author = {TSUGE, Shunichi and SAGARA, Kenshi},
 issue = {13},
 journal = {ISAS report/Institute of Space and Aeronautical Science,University of Tokyo},
 month = {Nov},
 note = {It is shown that Boltzmann's equation written in terms of microscopic density (viz., unaveraged Boltzmann function) has wider range of validity as well as finer resolvability for fluctuations than the conventional Boltzmann equation governing Boltzmann's function. In fact the new Boltzmann equation for ideal gases has implication as microscopically exact continuity equation like Klimontovich's equation for plasmas, and can be derived without invoking any statistical concepts, e.g., distribution functions, or molecular chaos. The Boltzmann equation in older formalism is obtained by averaging this equation only under a restricted condition of the molecular chaos. The new Boltzmann equation is seen to contain informations comparable with Liouville's equation, and serves as a master kinetic equation. A new hierarchy system is formulated in a certain parallelism to the BBGKY hierarchy. They are shown to yield an identical one-particle equation. Difference, however, between the two hierarchy systems makes first appearance in the two-particle equation. The difference is two-fold. First, the present formalism includes thermal fluctuations which are missing in the BBGKY formalism. Second, the former allows to formulate multi-time correlations as well, whereas the latter is restricted to simultaneous correlation. These two features are favorably utilized in deriving Landau-Lifshitz fluctuation law in a most straightforward manner. Also equations describing nonequilibrium interaction between thermal and fluid-dynamical fluctuations are derived., 資料番号: SA2400984000},
 pages = {235--254},
 title = {On 'Master' Boltzmann Equation},
 volume = {39},
 year = {1974}
}