Exercise 13.3: Equilibration of the 2D Ising model

1. Run your simulation with $L=8$ and $T=2$ and choose the initial spins to be all up. Plot the variation of the energy and the magnetization with time. How much time is necessary for the system to reach equilibrium?

2. Visually inspect several ``equilibrium'' configurations. Is the system ordered or disordered?

3. Run the program with $T=1.5$ and chose the same initial configuration with all the spins up. How long does it take for the system to reach equilibrium?

4. Visually inspect several equilibrium configurations with $T=1.5$. Are they more or less ordered than those in part 2?