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Article overview
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Spatiotemporally complete condensation in a non-Poissonian exclusion process | | R. J. Concannon
; R. A. Blythe
; | | Date: |
29 Jul 2013 | | Abstract: | We investigate a non-Poissonian version of the asymmetric simple exclusion
process, motivated by the observation that motor proteins hop as a consequence
of some internal dynamics which yields a non-Markovian (history-dependent)
hopping process. We characterize a large family of processes using a
waiting-time distribution for individual particle hops. We find that when the
variance of this distribution is infinite, a real-space condensate forms that
is complete in space (involves all particles) and time (exists at almost any
given instant) in the thermodynamic limit. The mechanism for the onset and
stability of the condensate are both rather subtle, and depends on how the
microscopic dynamics subsequent to a failed particle hop attempt are defined. | | Source: | arXiv, 1307.7511 | | Services: | Forum | Review | PDF | Favorites | |
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