We derived a Master equation for Ising system in contact with heat reservoir using the generalized Master equation theory. Weak coupling between the two system was assumed and Markoffian approximation was used for introducing the irreversibility of the Master equation. We compared the result with the Glauber's model.
We also studied the macroscopic behavior of two dimensional kinetic Ising model system. Nearest-neighbor interaction and periodic boundary condition were introduced. The time was considered as a continuous variable. The relaxation times for the order parameter correlation and nearest-neighbor correlation (energy) for the system was computed, and corresponding critical exponent were estimated.
