Irreversible growth of binary mixtures on small-world networks

Details Irreversible growth of binary mixtures on small-world networks Irreversible growth of binary mixtures on small-world networks

2006-02-07

arxiv.org/abs/cond-mat/0602192v2

Phys. Rev. E 74, 031101 (2006)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 7 figures; added/removed references and modified presentation. To appear in PRE

Scientific paper

10.1103/PhysRevE.74.031101

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 remarkable phenomenon which is analogous to similar observations reported recently in the investigation of equilibrium systems.

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