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!

Homework Help: Statistical physics question

  1. Nov 14, 2004 #1
    Consider 2 systems of spin 1/2 paramagnets, which may point either up or down wrt a magnetic field. The first system contains 8 paramagnets and the second contains 6 paramagnets.

    Suppose the energy of the combined system is constrained such that the total number of spins pointing up in the 2 systems is forced to be 6. Make a table of the possible values of n (no. of paramagnets pointing up, in 1st system) and m (no. of paramagnets pointing up, in 2nd system) and the number of microstates of the combined system for each case. By summing the entries of your table, obtain the total number of accessible microstates subject to the energy constraints.

    This is what I've done so far:

    m | n | accessible microstates
    6 | 0 | (6C6) x (8C0) = 1
    5 | 1 | (6C5) x (8C1) = 48
    4 | 2 | (6C4) x (8C2) = 420
    3 | 3 | (6C3) x (8C3) = 1120
    2 | 4 | (6C2) x (8C4) = 1050
    1 | 5 | (6C1) x (8C5) = 336
    0 | 6 | (6C0) x (8C6) = 28

    Total no. of accessible microstates = 3003.

    I'm not sure whether or not my method for working out the no. of accessible microstates is right.
    Last edited: Nov 14, 2004
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted