Convergence of Isotropic Scattering Transport Process to Brownian Motion
- 1 December 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 40, 161-171
- https://doi.org/10.1017/s0027763000013933
Abstract
Let us consider transporting particle in the n-dimensional Euclidian space Rn. It is assumed that a particle originating at a point x∈Rn moves in a straight line with constant speed c and continues to move until it suffers a collision. The probability that the particle has a collision between t and t + Δ is kΔ + o(Δ), where k is constant. When a particle has a collision, say at y in Rn, it moves afresh from y with an isotropic choice of direction independent of past history.Keywords
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