Simulation of a multicomponent lipid bilayer having a fixed percentage of
cholesterol is done to study phase transition leading to domain formation. The
concept of random lattice has been used in simulation to account for the
coupling between the internal and translational degrees of freedom of lipid
molecules. Considering a canonical ensemble, dissimilar lipid molecules are
allowed to exchange their positions in the lattice subject to standard
metropolis algorithm. The steps involved in the process effectively takes into
account for the movement of sphingolipids and cholesterol molecules helping
formation of cholesterol rich domains of saturated lipids as found in natural
membranes