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Equal a priori probablities

  1. Nov 23, 2014 #1
    Hey guys a simple question about the postulate about equal a priori probabilites in thermal equilibrium in statistical mechanics.

    I was thinking about the case of N non-interacting simple harmonic oscillators in thermal equilibrium. Shouldn't those phase space states that have single particle states with p near zero be more probable than those states with p near pmax? SInce particles near p = 0 spend more time in that neighborhood. I guess more generally wouldn't those phase states for which the total kinetic energy is minimized being more likely? I assume I'm not thinking about this properly but I can't
  2. jcsd
  3. Nov 24, 2014 #2


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    2017 Award

    Staff: Mentor

    The number of available states wins against probabilities to find some specific state - up to the average energy of the particles.
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