18This does not show for very small temperatures in the simulation with the Metropolis algorithm. As we decrease the temperature β ≫ βc , it takes many improbable steps to move from a state with ∑ isi = M1 to a state with ∑ isi = − M1 . The Monte Carlo simulation consists of a finite number of steps, therefore we may obtain a non zero ∑ ⟨ isi⟩ , an incorrect result.