Question: Calculate the exact zero field partition function of the one-dimensional Ising model on a periodic chain of (n) spins using equation (13.2.5) and write (Q_{N}(0,

Calculate the exact zero field partition function of the one-dimensional Ising model on a periodic chain of $n$ spins using equation (13.2.5) and write $Q_{N}(0, T)$ in the form of equation (13.4.52). Show that for $x \rightarrow 1$, the partition function $\rightarrow 2^{n}$. Evaluate the microcanonical entropy $S(q) / k=\ln g_{q}$ and plot it for the case $n=16$.

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