  Through large-scale numerical simulations, we study the phase ordering
kinetics of the $2d$ Ising Model after a zero-temperature quench from a
high-temperature homogeneous initial condition. Analysing the behaviour of two
important quantities -- the winding angle and the pair-connectedness -- we
reveal the presence of a percolating structure in the pattern of domains. We
focus on the pure case and on the random field and random bond Ising Model.

Statistical Mechanics