Instability of condensation in the zero-range process with random interaction.
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 behavior.
Mathematics and Complexity Science, University of Warwick, Coventry CV4 7AL, United Kingdom.
Stefan
S
Grosskinsky
Paul
P
Chleboun
Gunter M
GM
Schütz