Imagine a system of N spins on lattice sites, but this time the spins can have three possible states. The three states c

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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 ±µ0H when a magnetic field H is applied. We are
first going to treat this problem in the microcanonical ensemble.
Write down the number of ways there are to distribute the total
energy U between a system of N1 particles contributing an energy
µ0, N2 contributing an energy 0 and N3 contributing an energy -µ0.
Write this expression just as a function of U and N = N1 + N2 + N3.
You will quickly see why the microcanonical ensemble is not such a
clever device.
Please solve and EXPLAIN.