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A stochastic process is a collection of random variables usually indexed by a totally ordered set.

2
votes
1answer
I place two spherical particles, $P_1$ and $P_2$ (with radii $r_1$ & $r_2$), into a cylindrical container of radius $r_c$ ($r_1$ & $r_2$ $\leq \frac{1}{2}r_c$) and height $h$. While $P_1$ is immobili …
asked Jul 8 '11 by Rob Grey
2
votes
3answers
Imagine I have a point-like Brownian particle, with diffusion constant $D$, and I place it at some initial coordinate in a cage of known geometry. Assuming the volume $V$ of the cage is "everywhere" …
asked Aug 10 '11 by Rob Grey
2
votes
1answer
Let's say I have a Brownian particle of some radius $r_b$ and coefficient of diffusion $D$, freely moving about in a toroidal/doughnut-shaped chamber with inner and outer radius $R_{inner}$ and $R_{ou …
asked Aug 9 '11 by Rob Grey
13
votes
1answer
Let's say I have a point-like Brownian particle undergoing two-dimensional diffusion on an infinite plane with the caveat is that the particle can never return to a coordinate that it previously visit …
asked Jul 28 '11 by Rob Grey