Condensation in zero-range processes on inhomogeneous networks

2007/03/09 by Bartłomiej Waclaw, B. Waclaw, L. Bogacz +3 · 1 citation
Computer Science · Physics and Astronomy · #Complex Network Analysis Techniques #Composite material #Condensation #Materials science #Nonlinear Dynamics and Pattern Formation #Opinion Dynamics and Social Influence #Philosophy #Physics #Range (aeronautics) #Statistical physics #Thermodynamics #Zero (linguistics) #cond-mat.other #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.76.046114

published as Phys. Rev. E 76, 046114 (2007) · 10 pages, 5 figures

arxiv created 2007/03/09 · openalex publication_date 2007/10/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 k₁ much higher than a typical degree k , and find that the condensation is triggered by the inhomogeneity and that it depends on the ratio k₁k . 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.

Citations

• Causal and homogeneous networks
• Condensation transitions in a model for a directed network with weighted links
• Modelling one-dimensional driven diffusive systems by the Zero-Range Process
• Statistical mechanics of complex networks
• Evolution of networks
• Factorized steady states in mass transport models on an arbitrary graph
• The Structure and Function of Complex Networks

Cited by

• Power laws in zero-range processes on random networks