Condensation in zero-range processes on inhomogeneous networks.
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 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.
Waclaw
B
B
Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany. bwaclaw@th.if.uj.edu.pl
Bogacz
L
L
Burda
Z
Z
Janke
W
W