Condensation in zero-range processes on inhomogeneous networks

B. Waclaw, L. Bogacz, Z. Burda, W. Janke

Research output: Contribution to journalArticlepeer-review

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 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.

Original languageEnglish
Article number046114
Pages (from-to)-
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Volume76
Issue number4
DOIs
Publication statusPublished - Oct 2007

Keywords

  • FACTORIZED STEADY-STATES
  • COMPLEX NETWORKS
  • STATISTICAL-MECHANICS
  • ENERGY BARRIERS
  • DYNAMICS
  • MODEL
  • SYSTEMS

Cite this