Irreversible growth of binary mixtures on small-world networks

Abstract

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.

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

References in corpus (24)

• Epidemic spreading in scale-free networks
• Evolution of networks
• Renormalization group analysis of the small-world network model
• Scaling and percolation in the small-world network model
• Small world effect in an epidemiological model
• Epidemic threshold in structured scale-free networks
• Nonequilibrium transitions in complex networks: a model of social interaction
• Kinetic Ising model in an oscillating field: Finite-size scaling at the dynamic phase transition
• Ferromagnetic Phase Transition in Barabasi-Albert Networks
• Diffusion, localization and dispersion relations on ``small-world'' lattices
• Filling transition for a wedge
• Dynamic Phase Transition, Universality, and Finite-size Scaling in the Two-dimensional Kinetic Ising Model in an Oscillating Field
• Ising model in small-world networks
• Inverted Berezinskii-Kosterlitz-Thouless Singularity and High-Temperature Algebraic Order in an Ising Model on a Scale-Free Hierarchical-Lattice Small-World Network
• Kinetic Ising model in an oscillating field: Avrami theory for the hysteretic response and finite-size scaling for the dynamic phase transition
• Nonequilibrium Phase Transitions in Directed Small-World Networks
• XY model in small-world networks
• Small-world networks and the conformation space of a lattice polymer chain
• Comment on "Ising model on a small world network"
• Dynamic critical behavior of the XY model in small-world networks
• Small-World Rouse Networks as models of cross-linked polymers
• Damage spreading in small world Ising models
• Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model
• A Novel Predictive Tool in Nanoengineering: Straightforward Estimation of Superconformal Filling Efficiency

Cited by in corpus (10)

• Uncovering individual and collective human dynamics from mobile phone records
• Mass Media Influence Spreading in Social Networks with Community Structure
• Antiferromagnetic Ising model in small-world networks
• Irreversible Opinion Spreading on Scale-Free Networks
• Antiferromagnetic Ising model in scale-free networks
• The Magnetic Eden Model
• Advertising and irreversible opinion spreading in complex social networks
• Zero-temperature Glauber dynamics on small-world networks
• Nonequilibrium Opinion Spreading on 2D Small-World Networks
• Random Walk Access Times on Partially-Disordered Complex Networks: an Effective Medium Theory