Cooperative dynamics in bidirectional transport on flexible lattice
arXiv:2002.09305 · doi:10.1007/s10955-020-02691-0
Abstract
Several theoretical models based on totally asymmetric simple exclusion process (TASEP) have been extensively utilized to study various non-equilibrium transport phenomena. Inspired by the the role of microtubule-transported vesicles in intracellular transport, we propose a generalized TASEP model where two distinct particles are directed to hop stochastically in opposite directions on a flexible lattice immersed in a three dimensional pool of diffusing particles. We investigate the interplay between lattice conformation and bidirectional transport by obtaining the stationary phase diagrams and density profiles within the framework of mean field theory. For the case when recycling strength is independent of density of particles, the topology of phase diagram alters quantitatively. However, if the lattice occupancy governs the global conformation of lattice, in addition to the pre-existing phases for bidirectional transport a new asymmetric shock-low density phase originates in the system. We identified that this phase is sensitive to finite size effect and vanishes in the thermodynamic limit.
References in corpus (14)
- Statistical Physics of Vehicular Traffic and Some Related Systems
- Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
- Particle hopping models and traffic flow theory
- The totally asymmetric exclusion process with extended objects, a model for protein synthesis
- Clustered bottlenecks in mRNA translation and protein synthesis
- Traffic of molecular motors through tube-like compartments
- Modeling Translation in Protein Synthesis with TASEP: A Tutorial and Recent Developments
- Shock formation in an exclusion process with creation and annihilation
- Spontaneous Symmetry Breaking in Two-Channel Asymmetric Exclusion Processes with Narrow Entrances
- Gene length as a regulator for ribosome recruitment and protein synthesis: theoretical insights
- Asymmetric coupling in two-lane simple exclusion process with Langmuir kinetics: phase diagrams and boundary layers
- Spontaneous symmetry breaking in a bridge model fed by junctions
- Driven transport on a flexible polymer with particle recycling: a model inspired by transcription and translation
- Phase segregation and transport in a two species multi-lane system