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Escape probability of a particle in a sphere 
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#1
Apr512, 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 ??



#2
Apr1112, 08:15 PM

P: 276

Look up Brownian Motion.
Cheers. Roman. 


#3
Apr1112, 09:22 PM

P: 886

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.



#4
Apr1212, 01:46 AM

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P: 9,656

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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