1. Not finding help here? Sign up for a free 30min 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!

Magnetic system, partition function

  1. Mar 24, 2008 #1

    nicksauce

    User Avatar
    Science Advisor
    Homework Helper

    1. The problem statement, all variables and given/known data
    A certain magnetic system has N independent molecules per unit volume, each of which as 4 distinct energy levels: [tex]0, \Delta - \mu_BB, \Delta, \Delta + \mu_BB[/tex].
    i) Write down the partition function, and hence find an expression for the Hemholtz function
    ii) Use this expression to find the internal energy, U, and the magnetization M.


    2. Relevant equations
    [tex]F = -\frac{\ln{Z}}{\beta}[/tex]
    [tex]U = F - T\frac{\partial F}{\partial T}[/tex]


    3. The attempt at a solution
    So I think I found the correct equations for the partition function, the hemholtz function and the energy, but I am not quite sure on how to calculate the magnetization. Any ideas?
     
  2. jcsd
  3. Mar 25, 2008 #2
    There are other ways of writing the internal energy of a system that include magnetic energy.
     
  4. Mar 25, 2008 #3
    The magnetization is given by (Schroeder. "Thermal Physics")
    [tex]M=N\bar{\mu_{z}} [/tex]
    where
    [tex]\bar{\mu_{z}}=\sum_{s}{\mu_{z}(s)P(s)}[/tex]
    where P(s) is the probability for state s.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Magnetic system, partition function
Loading...