- Problem 3 Imagine A System Of N Spins On Lattice Sites But This Time The Spins Can Have Three Possible States The Thr 1 (136.15 KiB) Viewed 40 times
Problem 3: Imagine a system of N spins on lattice sites, but this time the spins can have three possible states. The three states contribute an energies ( and EpoH when a magnetic field H is applied. We are first going to treat this problem in the microcanoni- cal ensemble. Write down the number of ways there are to distribute the total energy U between a system of N1 particles contributing an energy Mo, N2 contributing an energy O and Nz contributing an energy - Mo. Write this expression just as a function of U and N = Ni + N2 + N3. You will quickly see why the microcanonical ensemble is not such a clever device. = Problem 4: Redo the previous problem but now using the canonical ensemble cal- culate the thermodynamic properties of entropy, energy, heat capacity. See how these quantities vary in the high and low temperature limits.