1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.

    Cheers.


    Roman.
     
  4. Apr 11, 2012 #3

    Khashishi

    User Avatar
    Science Advisor

    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

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    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.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook