Complete Condensation in a Zero Range Process on Scale-Free Networks
نویسندگان
چکیده
منابع مشابه
Stationary and dynamical properties of a zero-range process on scale-free networks.
We study the condensation phenomenon in a zero-range process on scale-free networks. We show that the stationary state property depends only on the degree distribution of underlying networks. The model displays a stationary state phase transition between a condensed phase and an uncondensed phase, and the phase diagram is obtained analytically. As for the dynamical property, we find that the re...
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The Zero-Range Process, in which particles hop between sites on a lattice under conserving dynamics, is a prototypical model for studying real-space condensation. Within this model the system is critical only at the transition point. Here we consider a non-conserving Zero-Range Process which is shown to exhibit generic critical phases which exist in a range of creation and annihilation paramete...
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We investigate the role of inhomogeneities in zero-range processes in condensation dynamics. We consider the dynamics of balls hopping between nodes of a network with one node of degree k_{1} much higher than a typical degree k , and find that the condensation is triggered by the inhomogeneity and that it depends on the ratio k_{1}k . Although, on the average, the condensate takes an extensive ...
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The dynamics of zero-range processes on complex networks is expected to be influenced by the underlying topological structure of networks. A real space complete condensation transition in the stationary state may occur. We have studied the finite density effects of the condensation transition in both the static and dynamical zero-range process on scale-free network. By means of grand canonical ...
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The zero range process is of particular importance as a generic model for domain wall dynamics of one-dimensional systems far from equilibrium. We study this process in one dimension with rates which induce an effective attraction between particles. We rigorously prove that for the stationary probability measure there is a background phase at some critical density and for large system size esse...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2005
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.94.198701