Anzeige
Erschienen in:
2016 | OriginalPaper | Buchkapitel
Two-Channel Partially Coupled Exclusion Process with Mutually Interactive Langmuir Kinetics
verfasst von : Arvind Kumar Gupta
Erschienen in: Traffic and Granular Flow '15
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
In this work, we investigate an open system comprised of two-parallel TASEP under partially asymmetric coupling conditions incorporating the mutual interaction with the surrounding environment through Langmuir Kinetics in both the channels. Motivated by the recent finding on clustering of motor proteins on microtubules, the attachment and detachment rates are assumed to be dependent on the state of the neighbouring sites. Under the mean-field assumption, the hydrodynamic equations representing the evolution of particle density is studied and steady-state phase diagrams are obtained. The effect of mutually interactive Langmuir Kinetics (MILK) on the phase diagram is discussed for two different situations. For symmetric MILK, the topological structure of the phase diagram remains preserved; while for the antisymmetric MILK, significant changes are observed in the qualitative nature of phase diagram. Monte Carlo simulations are performed to validate the theoretical findings.