Exercises 13.2: Ising simulation

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A . . . . B .

13.2.1 The figures show a 10x10 Ising spin array. One is the system as initialized at high temperature; the other is taken after one Monte Carlo sweep at low temperature. Which figure is which?

A .

13.2.2 The figure shows a 3x3 Ising array with periodic boundary conditions. With nearest-neighbor interaction-energy -J for parallel spins, what is the exchange energy per spin of this array?