Condensation in a zero range process on weighted scale-free networks

TL;DR

This paper investigates how weighted transport affects particle condensation in zero range processes on scale-free networks, revealing that weighting facilitates easier and even interaction-free condensation.

Contribution

It introduces a mean field approach to study particle transport dynamics, showing weighted transport promotes condensation more than weight-free scenarios.

Findings

Weighted transport makes condensation easier to occur.

Dynamical condensation can happen without particle interaction.

Weighted transport enables condensation in scenarios where it was previously impossible.

Abstract

We study the condensation phenomenon in a zero range process on weighted scale-free networks in order to show how the weighted transport influences the particle condensation. Instead of the approach of grand canonical ensemble which is generally used in a zero range process, we introduce an alternate approach of the mean field equations to study the dynamics of particle transport. We find that the condensation on scale-free network is easier to occur in the case of weighted transport than in the case of weight-free. In the weighted transport, especially, a dynamical condensation is even possible for the case of no interaction among particles, which is impossible in the case of weight-free.