Spontaneous Symmetry Breaking in Two-Channel Asymmetric Exclusion Processes with Narrow Entrances
arXiv:cond-mat/0611472 · doi:10.1088/1751-8113/40/10/004
Abstract
Multi-particle non-equilibrium dynamics in two-channel asymmetric exclusion processes with narrow entrances is investigated theoretically. Particles move on two parallel lattices in opposite directions without changing them, while the channels are coupled only at the boundaries. A particle cannot enter the corresponding lane if the exit site of the other lane is occupied. Stationary phase diagrams, particle currents and densities are calculated in a mean-field approximation. It is shown that there are four stationary phases in the system, with two of them exhibiting spontaneous symmetry breaking phenomena. Extensive Monte Carlo computer simulations confirm qualitatively our predictions, although the phase boundaries and stationary properties deviate from the mean-field results. Computer simulations indicate that several dynamic and phase properties of the system have a strong size dependency, and one of the stationary phases predicted by the mean-field theory disappears in the thermodynamic limit.
13 pages
References in corpus (5)
Cited by in corpus (22)
- Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
- Weakly coupled, antiparallel, totally asymmetric simple exclusion processes
- Spontaneous symmetry breaking in a bridge model fed by junctions
- Theoretical investigation of synchronous totally asymmetric exclusion processes on lattices with multiple-input-single-output junctions
- A model for bidirectional traffic of cytoskeletal motors
- Parallel Coupling of Symmetric and Asymmetric Exclusion Processes
- Generic transport mechanisms for molecular traffic in cellular protrusions
- Rigorous results on spontaneous symmetry breaking in a one-dimensional driven particle system
- Driven Transport on Parallel Lanes with Particle Exclusion and Obstruction
- Robustness of spontaneous symmetry breaking in a bridge model
- Spontaneous symmetry breaking in a two-lane model for bidirectional overtaking traffic
- Inhomogeneous Coupling in Two-Channel Asymmetric Simple Exclusion Processes
- Phase segregation and transport in a two species multi-lane system
- Unusual shock wave in two-species driven systems with an umbilic point
- Exclusion Process on two intersected lanes with constrained resources: Symmetry breaking and shock dynamics
- Jamming transition in a driven lattice gas
- Multiline queues with spectral parameters
- Cooperative dynamics in bidirectional transport on flexible lattice
- Driven Transport on open filaments with inter-filament switching processes
- Boundary-driven phase transitions in open two-species driven systems with an umbilic point
- Mean-field critical behaviour and ergodicity break in a nonequilibrium one-dimensional RSOS growth model
- Fluctuations in meta-population exclusion processes