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Volumn 80, Issue 4, 2009, Pages

Understanding totally asymmetric simple-exclusion-process transport on networks: Generic analysis via effective rates and explicit vertices

Author keywords

[No Author keywords available]

Indexed keywords

GENERIC ANALYSIS; MEAN-FIELD; PARTICLE DENSITIES; PARTICLE-HOLE SYMMETRY; PROCESS SEGMENT; SIMPLE NETWORKS; SIMPLE-EXCLUSION PROCESS; SIMULATION DATA; SINGLE SEGMENTS; TRANSPORT PROCESS;

EID: 70449125658     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.041128     Document Type: Article
Times cited : (59)

References (56)
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    • We use the term "mean field" throughout the paper, although there are various subtle points one should keep in mind that current and bulk density are proper mean-field quantities (for which, on the other hand, the mean-field expressions are known to be exact), but density profiles are not; in order to reconstruct density profiles one must invoke a domain wall theory on top of mean-field results, which retains collective fluctuations (shock fluctuations) in a phenomenological manner.
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    • This is formally closer to previous work except that introducing the extra junction site makes our approach entirely systematic and that inaccessible subcases may be discarded very easily based on effective-rate arguments. Note also that our approach (as well as our results) furthermore differs significantly from those for a V (1:m) with a synchronous update scheme.
    • This is formally closer to previous work except that introducing the extra junction site makes our approach entirely systematic and that inaccessible subcases may be discarded very easily based on effective-rate arguments. Note also that our approach (as well as our results) furthermore differs significantly from those for a V (1:m) with a synchronous update scheme.
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    • We do point out, however, that the analogous interpretation for a periodic-on-average but open system constructed from a V(2:2) requires further care: a full understanding of domain wall dynamics is required in this case, which cannot be achieved within the present framework since working with effective rates deduced from the average junction density necessarily neglects all correlation effects. For reasons of space and focus, we reserve this discussion for elsewhere.
    • We do point out, however, that the analogous interpretation for a periodic-on-average but open system constructed from a V(2:2) requires further care: a full understanding of domain wall dynamics is required in this case, which cannot be achieved within the present framework since working with effective rates deduced from the average junction density necessarily neglects all correlation effects. For reasons of space and focus, we reserve this discussion for elsewhere.
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    • For completeness, however, we note that a (MC □ LD) phase does arise for a system consisting of two parallel sections, but it is effectively ruled out here through the condition of periodicity on average.
    • For completeness, however, we note that a (MC □ LD) phase does arise for a system consisting of two parallel sections, but it is effectively ruled out here through the condition of periodicity on average.


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