Answer Happy

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 0 and EHoH 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 N; particles contributing an energy Ho, N, contributing an energy 0 and Nz contributing an energy - Ho. Write this expression just as a function of U and N = N; + 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.
g total no. of particles (N) Total energy (u) = Mo (N, -H3) EN + N2 + N3. So; no. of Passible ways (W) HCHI H- Hàn X (N-ND! N! (N-N)! ! (N-N-N)! Me! N.-M. to & Ni+H3 = Ni+H3 = (N-N2) Mischuhe cho + - Ma) & N3 =[CM - Me) - ] N- • M28 = CH How; E live + M-Mix)]! [CH-Me) - Res! (Mu)? ) ]Me U 24