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Critical phase in non-conserving zero-range processes and equilibrium networks | | A. G. Angel
; M. R. Evans
; E. Levine
; D. Mukamel
; | | Date: |
18 Mar 2005 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | 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. | | Source: | arXiv, cond-mat/0503487 | | Services: | Forum | Review | PDF | Favorites | |
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