Motion of condensates in non-Markovian zero-range dynamics

Abstract

Condensation transition in a non-Markovian zero-range process is studied in one and higher dimensions. In the mean-field approximation, corresponding to infinite range hopping, the model exhibits condensation with a stationary condensate, as in the Markovian case, but with a modified phase diagram. In the case of nearest-neighbor hopping, the condensate is found to drift by a "slinky" motion from one site to the next. The mechanism of the drift is explored numerically in detail. A modified model with nearest-neighbor hopping which allows exact calculation of the steady state is introduced. The steady state of this model is found to be a product measure, and the condensate is stationary.

31 pages, 9 figures

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• Dynamics of condensation in the totally asymmetric inclusion process
• Occupation Probabilities and Fluctuations in the Asymmetric Simple Inclusion Process
• Opinion Formation under Antagonistic Influences
• Blockage induced condensation controlled by a local reaction
• Temporally correlated zero-range process with open boundaries: Steady state and fluctuations
• Trapping in bottlenecks: interplay between microscopic dynamics and large scale effects
• Interacting elephant random walks
• Emergent motion of condensates in mass-transport models
• Dynamics of condensate formation in stochastic transport with pair-factorized steady states: Nucleation and coarsening time scales