Condensation in zero-range processes on inhomogeneous networks

Details Condensation in zero-range processes on inhomogeneous networks Condensation in zero-range processes on inhomogeneous networks

2007-03-09

arxiv.org/abs/cond-mat/0703243v1

Phys. Rev. E 76, 046114 (2007)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 5 figures

Scientific paper

10.1103/PhysRevE.76.046114

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, and find that the condensation is triggered by the ratio k_1/k of the highest degree k_1 to the average degree k. Although the condensate takes on the average an extensive number of balls, its occupation can oscillate in a wide range. We show that in systems with strong inhomogeneity, the typical melting time of the condensate grows exponentially with the number of balls.

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