Irreversible growth of binary mixtures on small-world networks

Binary mixtures growing on small-world networks under far-from-equilibrium conditions are studied by means of extensive Monte Carlo simulations. For any positive value of the shortcut fraction of the network (p>0), the system undergoes a continuous order-disorder phase transition, while it is noncritical in the regular lattice limit (p=0). Using finite-size scaling relations, the phase diagram is obtained in the thermodynamic limit and the critical exponents are evaluated. The small-world networks are thus shown to trigger criticality, a phenomenon analogous to similar observations reported recently in the investigation of equilibrium systems.