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Condensation in zero-range processes on inhomogeneous networks

B. Waclaw·L. Bogacz·Z. Burda·W. Janke
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Abstract

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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B. Waclaw, L. Bogacz, Z. Burda, W. Janke. 2007-03-09. Condensation in zero-range processes on inhomogeneous networks. https://doi.org/10.1103/physreve.76.046114

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