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Escape probability of a particle in a sphere

by anon_man
Tags: escape, particle, probability, sphere
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anon_man
#1
Apr5-12, 07:26 AM
P: 1
how can we use statistical mechanics to find the probability of a particle inside a sphere to escape through a hole on the surface (no potential energy) ? any ideas ??
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gomunkul51
#2
Apr11-12, 08:15 PM
P: 275
Look up Brownian Motion.

Cheers.


Roman.
Khashishi
#3
Apr11-12, 09:22 PM
P: 887
I don't think this is statistical mechanics. Just compare the area of the hole to the area of the sphere, and consider how fast the particle is moving.

haruspex
#4
Apr12-12, 01:46 AM
Homework
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P: 9,876
Escape probability of a particle in a sphere

Probability of particle traveling at speed U escaping from volume V through aperture area A in time period dT will be proportional to U.A.dT/V. Don't know what the multiplicative constant would be - perhaps depends on geometry.


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