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arXiv · 1207.1006

Motion of condensates in non-Markovian zero-range dynamics

Ori Hirschberg·David Mukamel·Gunter M. Schütz
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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.

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Ori Hirschberg, David Mukamel, Gunter M. Schütz. 2012-07-04. Motion of condensates in non-Markovian zero-range dynamics. https://doi.org/10.1088/1742-5468%2F2012%2F08%2Fp08014

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