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Escape probability of a particle in a sphere

  1. Apr 5, 2012 #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. jcsd
  3. Apr 11, 2012 #2
    Look up Brownian Motion.


  4. Apr 11, 2012 #3


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    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.
  5. Apr 12, 2012 #4


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    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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