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Gibbsian Ensemble

  1. Oct 4, 2006 #1
    I'm taking a course in Stat Mach using Kerson and Huang's Statistical Mechanics book. I am quite confused with their treatment of a Gibbsian Ensemble. They say imagine an infinite copies of the same system whose state can be represented by a point in phase space. Then [tex] \rho (p,q,t) = d^{3N}p d^{3N}q [/tex] is the number of representative points contained in the infinitesimal volume. So if we integrate this over allowed p's and q's, we should get infinity because we started out w/ an infinite number of total systems. Can this be correct?
    Last edited: Oct 4, 2006
  2. jcsd
  3. Oct 4, 2006 #2
    Not if the volume of integration is finite or infinite but integrable.
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