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Archived Statistical physics Q: macrostates

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  1. Oct 30, 2013 #1
    1. The problem statement, all variables and given/known data

    There are 5 Bosonic particles N = 5 populating 2 degenerate energy levels E1 and E2 such that:

    E1 < E2, N2 ≤ N1

    and the respective statistical weights are

    g1 = 3 and g2 = 2.
    .

    What are the possible macrostates of this system?


    3. The attempt at a solution


    I'm not sure if the answer is: for E1 either 5 or 4 or 3 macrostates (as N1>N2)

    and for E2 either 2 or 1 macrostates.

    or

    13 macrostates:

    E1 , g = 3

    E1 N1 = 5 --> (5,0,0) (410) (320) (311)
    E1 N1 = 4 --> (400) (310) (220)
    E1 N1 = 3 --> (300) (210) (111)

    E2 , g = 2

    E2 N2 = 2 --> (2,0) (1,1)
    E2 N2 = 1 --> (1,0)

    so 13 macrostates overall.

    Any idea which is correct or are they both wrong!!
     
    Last edited: Oct 30, 2013
  2. jcsd
  3. Feb 5, 2016 #2

    DrClaude

    User Avatar

    Staff: Mentor

    In the attempt, I don't understand why you are considering separately E1 and E2.

    A macrostate is characterized by its total energy. Therefore, I count 3 macrostates:
    E = 5 E1
    E = 4 E1 + E2
    E = 3 E1 + 2 E2
     
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