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!

Ising model phase transition

  1. Mar 10, 2008 #1
    1. The problem statement, all variables and given/known data
    Can someone please explain to me why there can never be a phase transition in the 1D Ising model?

    2. Relevant equations

    3. The attempt at a solution
    I have read the argument that if we start at T=0, all spins along the 1D chain are aligned (say up).
    Then if we slightly increase T, we can get a so-called "grain boundary" with changes the energy by 2J, which remains finite in the thermodynamic limit (as the size of the chain becomes infinite). This is unlike the 2D case where the energy change associated with a grain boundary blows up as the system size becomes infinite. That all makes sense, but what does all this have to do with phase transitions?
    Last edited: Mar 10, 2008
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?

Similar Discussions: Ising model phase transition
  1. SHO in phase space (Replies: 0)

  2. Phase Space Graph (Replies: 0)