Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2005-03-09
Regular and Chaotic Dynamics, 2004 Volume 9 Number 1
Nonlinear Sciences
Chaotic Dynamics
6 pages
Scientific paper
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.
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