Accession Number : AD0434730


Title :   THE KINETIC EQUATION OF CLASSICAL BOLTZMANN GASES


Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE FLUID MECHANICS LAB


Personal Author(s) : Su, C H


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/434730.pdf


Report Date : Mar 1964


Pagination or Media Count : 33


Abstract : By use of the multiple-time-scale method, the low density expansion is carried to the order of the triple collision integral. The validity of Bogoliubov's assumption that the multiple distribution depends functionally on a single particle distribution is carefully examined. It is found that such an assumption is valid except locally for those particles which have a large separation at a time t and which have their relative velocity so oriented that they were in collision at t = 0. Since this local breakdown is very selective, the triple collision integral which is found in the literature is still correct. As a by-product of the multiple-time-scale method, the rate at which a system approaches the kinetic state is obtained; it is also found that up to the order we have considered the Maxwellian distribution is the only solution at thermal equilibrium.


Descriptors :   *GASES , PARTICLES , DISTRIBUTION THEORY , STATISTICAL MECHANICS , FUNCTIONS(MATHEMATICS) , KINETIC THEORY , INTEGRALS , OPERATORS(MATHEMATICS)


Subject Categories : Physical Chemistry


Distribution Statement : APPROVED FOR PUBLIC RELEASE