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.
Irreversible growth of binary mixtures on small-world networks.
Published 2006 in Physical review. E, Statistical, nonlinear, and soft matter physics
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- Publication year
2006
- Venue
Physical review. E, Statistical, nonlinear, and soft matter physics
- Publication date
2006-02-07
- Fields of study
Mathematics, Physics, Medicine
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Semantic Scholar, PubMed
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