Instability of condensation in the zero-range process with random interaction

Abstract

The zero-range process is a stochastic interacting particle system that is known to exhibit a condensation transition. We present a detailed analysis of this transition in the presence of quenched disorder in the particle interactions. Using rigorous probabilistic arguments we show that disorder changes the critical exponent in the interaction strength below which a condensation transition may occur. The local critical densities may exhibit large fluctuations and their distribution shows an interesting crossover from exponential to algebraic behaviour.

4 pages, 4 figures; included new simulation data (Fig. 4), small changes in introduction and conclusion

References in corpus (4)

• Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process
• Condensation for a fixed number of independent random variables
• Zero-Range Processes with Multiple Condensates: Statics and Dynamics
• Structure of the stationary state of the asymmetric target process