Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-03-18
Phys. Rev. E, Vol. 72, 046132 (2005)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 4 figures
Scientific paper
10.1103/PhysRevE.72.046132
Zero-range processes, in which particles hop between sites on a lattice, are closely related to equilibrium networks, in which rewiring of links take place. Both systems exhibit a condensation transition for appropriate choices of the dynamical rules. The transition results in a macroscopically occupied site for zero-range processes and a macroscopically connected node for networks. Criticality, characterized by a scale-free distribution, is obtained only at the transition point. This is in contrast with the widespread scale-free real-life networks. Here we propose a generalization of these models whereby criticality is obtained throughout an entire phase, and the scale-free distribution does not depend on any fine-tuned parameter.
Angel A. G.
Evans Martin R.
Levine Erel
Mukamel David
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