Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-05-03
Physics
Condensed Matter
Statistical Mechanics
5 pages
Scientific paper
10.1088/1751-8113/40/36/002
We consider a Brownian particle, with diffusion constant D, moving inside an expanding d-dimensional sphere whose surface is an absorbing boundary for the particle. The sphere has initial radius L_0 and expands at a constant rate c. We calculate the joint probability density, p(r,t|r_0), that the particle survives until time t, and is at a distance r from the centre of the sphere, given that it started at a distance r_0 from the centre.
Bray Alan J.
Smith Richard
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