Multi species asymmetric simple exclusion process with impurity activated flips
We obtain an exact matrix product steady state for a class of multi species asymmetric simple exclusion process with impurities, under periodic boundary condition. Alongside the usual hopping dynamics, an additional flip dynamics is activated only in the presence of impurities. Although the microsco...
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Veröffentlicht in: | SciPost physics 2023-02, Vol.14 (2), p.016, Article 016 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | We obtain an exact matrix product steady state for a class of multi
species asymmetric simple exclusion process with impurities, under
periodic boundary condition. Alongside the usual hopping dynamics, an
additional flip dynamics is activated only in the presence of
impurities. Although the microscopic dynamics renders the system to be
non-ergodic, exact analytical results for observables are obtained in
steady states for a specific class of initial configurations.
Interesting physical features including negative differential mobility
and transition of correlations from negative to positive with changing
vacancy density, have been observed. We discuss plausible connections of
this exactly solvable model with multi lane asymmetric simple exclusion
processes as well as enzymatic chemical reactions. |
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ISSN: | 2542-4653 2542-4653 |
DOI: | 10.21468/SciPostPhys.14.2.016 |