2015/09/16 by Arvind Kumar Gupta · 24 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Antisymmetric relation #Combinatorics #Coupling (piping) #Kuramoto model #Langevin dynamics #Mathematical physics #Mathematics #Microtubule and mitosis dynamics #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Topology (electrical circuits) #cond-mat.stat-mech
paper · pdf · doi:10.1007/s10955-016-1463-6
published in Journal of Statistical Physics 162(6), 1571-1586 (Springer Science+Business Media) · 9 pages, 9 figures
arxiv created 2015/09/16 · openalex publication_date 2016/02/13 · arxiv updated 2016/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by the recent experimental observations on clustering of motor proteins on microtubule filament, we study an open system of two parallel totally asymmetric simple exclusion processes under asymmetric coupling conditions, which incorporates the mutual interaction with the surrounding environment through Langmuir Kinetics in both the lanes. In the modified Langmuir Kinetics, the attachment and detachment rates depends on the configuration of nearest neighboring sites. We analyse the model within the framework of continuum mean-field theory and the phase diagrams along with density profiles are obtained using boundary layer analysis. The effect of mutual interactions on the phase diagram for two different situations of attachment and detachment (LK) rates is discussed. Under the symmetric LK dynamics, the topological structure of the phase diagram remains similar to the one in without mutual interaction; while for the antisymmetric case, after a certain critical value of attractive/repulsive mutual attraction, significant changes are found in the qualitative nature of phase diagram. Moreover, it is shown that the type of mutual interaction affects the dynamic properties of motor proteins. The theoretical findings are examined by extensive Monte-Carlo simulations.