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One-Dimensional Ising Models: N Spins and Period Boundary

Consider One-dimensional Ising Model with N spins and periodic boundary condition, i.e., sN+1 = S1 (no external field).
a) Compute the partition exactly using the transfer matrix approach (justify steps).
b) Compute the free energy.
c) Compute the magnetization.
d) Compute the average energy.
e) Compute the specific heat.

Solution Summary

This solution calculates the partition, free energy, magnetization, energy, and heat for a one-dimensional ising model.