Accession Number : AD0464742


Title :   A KINETIC THEORETICAL INVESTIGATION OF A FULLY IONIZED GAS. PART II. SOME ASPECTS OF MULTIPLE COLLISIONS


Descriptive Note : Interim rept.,


Corporate Author : POLYTECHNIC INST OF BROOKLYN FARMINGDALE NY DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS


Personal Author(s) : Koga, Toyoki


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/464742.pdf


Report Date : Jan 1965


Pagination or Media Count : 86


Abstract : The Brownian motion of a test body due to multiple interactions with field particles is investigated within or almost within the framework of Markoff's processes. First, Markoff's processes are studied as presenting such multiple interactions. Based on the study and by means of Markoff's method of random flights, the Brownian motion is investigated of an elastic test body submerged in a rarefied gas constituted of elastic molecules, under the condition that mutual interactions among field particles are negligible. It is shown that there is no difference in effect between temporal repetitions of random binary collisions and multiple collisions (random binary collisions superposed at one moment of time), so far as the friction and diffusion of the test body in momentum space are concerned.


Descriptors :   *PLASMAS(PHYSICS) , IONS , INTEGRALS , GASES , FEASIBILITY STUDIES , MATHEMATICAL ANALYSIS , NAVAL RESEARCH , STATISTICAL PROCESSES , STATISTICAL MECHANICS , INTERCEPT TRAJECTORIES , MARKOV PROCESSES , N BODY PROBLEM , PARTICLE TRAJECTORIES , KINETIC THEORY


Subject Categories : Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE