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• W2137185554 endingPage "095001" @default.
• W2137185554 startingPage "095001" @default.
• W2137185554 abstract "We consider an extension of the zero-range process to the case where the hop rate depends on the state of both departure and arrival sites. We recover the misanthrope and the target process as special cases for which the probability of the steady state factorizes over sites. We discuss conditions which lead to the condensation of particles and show that although two different hop rates can lead to the same steady state, they do so with sharply contrasting dynamics. The first case resembles the dynamics of the zero-range process, whereas the second case, in which the hop rate increases with the occupation number of both sites, is similar to instantaneous gelation models. This new explosive condensation reveals surprisingly rich behaviour, in which the process of condensate's formation goes through a series of collisions between clusters of particles moving through the system at increasing speed. We perform a detailed numerical and analytical study of the dynamics of condensation: we find the speed of the moving clusters, their scattering amplitude, and their growth time. We finally show that the time to reach steady state decreases with the size of the system." @default.
• W2137185554 created "2016-06-24" @default.
• W2137185554 creator A5029182034 @default.
• W2137185554 creator A5062292279 @default.
• W2137185554 date "2014-02-17" @default.
• W2137185554 modified "2023-10-18" @default.
• W2137185554 title "Condensation in stochastic mass transport models: beyond the zero-range process" @default.
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• W2137185554 doi "https://doi.org/10.1088/1751-8113/47/9/095001" @default.
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