2005/03/09 by V. V. Kozlov
Physics and Astronomy · #nlin.CD
published as Regular and Chaotic Dynamics, 2004 Volume 9 Number 1 · 6 pages
arxiv created 2005/03/09 · arxiv updated 2009/12/01
A collisionless continuous medium in Euclidean space is discussed, i.e. a continuum of free particles moving inertially, without interacting with each other. It is shown that the distribution density of such medium is weakly converging to zero as time increases indefinitely. In the case of Maxwell's velocity distribution of particles, this density satisfies the well-known diffusion equation, the diffusion coefficient increasing linearly with time.