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Thermodynamic assembly - Statistical Thermodynamics

  1. Jun 3, 2017 #1
    1. The problem statement, all variables and given/known data
    Consider a model thermodynamic assembly in which the allowed (nondegenerate) states have energies 0, ε, 2ε, 3ε.The assembly has four distinguishable (localized) particles and a total energy U = 6ε. Tabulate the nine possible distributions of the four particles among the energy levels nε where n = 0, 1...

    2. Relevant equations


    3. The attempt at a solution
    I have tried tabulating it but I can only find five possible distributions that add up to 6ε.

    3ε......2......1......1................
    2ε..............1..............2......3
    ε................1......3......2.......
    0........2......1......................1

    I'm stumped as to where to go form now and I cannot find the other four. Is there some part of the theory I'm getting wrong or I'm not understanding?
     
  2. jcsd
  3. Jun 6, 2017 #2

    Charles Link

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    Homework Helper

    It looks correct to me. The other possibility is if you consider the particles distinguishable, then you need to label the particle at a given energy level. If that is the case, and I counted correctly, I get 44 different states.
     
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