Phase transition of binary-component DLA (diffusion-limited aggregation)-SQL (square lattice) system contacted with thermal bath in the perimeter

To make the DLA model associate with more realistic processes of crystal growth, the authors construct and study a new model including the experimental variables required. Diffusion particles of multicomponents diffuse on the square lattice as in the DLA model; the aggregation perimeter contacts with a thermal bath of temperature T and the sticking probability P consists of a constant probability P_c and the thermal one P_t at a neighbouring site of the perimeter, as P=(1- alpha )P_c+ alpha P_t ( alpha is a parameter which includes the non-equilibrium-equilibrium tendency of the system). P_t is evaluated by the thermodynamic distribution of the Ising system including up to next-nearest-neighbour interactions and chemical potentials. The system has the possibility of phase transitions. They show the phase transitions, aggregation patterns, correlation functions, fractal dimensions, and so on.