Phase transitions in systems with two species of molecular motors
arXiv:cond-mat/0402195 · doi:10.1209/epl/i2003-10155-6
Abstract
Systems with two species of active molecular motors moving on (cytoskeletal) filaments into opposite directions are studied theoretically using driven lattice gas models. The motors can unbind from and rebind to the filaments. Two motors are more likely to bind on adjacent filament sites if they belong to the same species. These systems exhibit (i) Continuous phase transitions towards states with spontaneously broken symmetry, where one motor species is largely excluded from the filament, (ii) Hysteresis of the total current upon varying the relative concentrations of the two motor species, and (iii) Coexistence of traffic lanes with opposite directionality in multi-filament systems. These theoretical predictions should be experimentally accessible.
arXiv comment7 pages, 4 figures, epl style (.cls-file included), to appear in Europhys. Lett. (http://www.edpsciences.org/epl)
References in corpus (5)
- Phase Coexistence in Driven One Dimensional Transport
- Traffic of molecular motors through tube-like compartments
- Shock formation in an exclusion process with creation and annihilation
- Localization of shocks in driven diffusive systems without particle number conservation
- Long-Range Order in a Quasi One-Dimensional Non-Equilibrium Three-State Lattice Gas
Cited by in corpus (42)
- Physics of Transport and Traffic Phenomena in Biology: from molecular motors and cells to organisms
- Stochastic mechano-chemical kinetics of molecular motors: a multidisciplinary enterprise from a physicist's perspective
- Experimental study of pedestrian counterflow in a corridor
- Intracellular transport driven by cytoskeletal motors: General mechanisms and defects
- Self-organized density patterns of molecular motors in arrays of cytoskeletal filaments
- Filament depolymerization by motor molecules
- Theoretical Analysis of Dynamic Processes for Interacting Molecular Motors
- Effects of the chemomechanical stepping cycle on the traffic of molecular motors
- Weakly coupled, antiparallel, totally asymmetric simple exclusion processes
- Correlations and Symmetry of Interactions Influence Collective Dynamics of Molecular Motors
- Theoretical investigation of synchronous totally asymmetric exclusion processes on lattices with multiple-input-single-output junctions
- Movements of molecular motors: Ratchets, random walks and traffic phenomena
- A model for bidirectional traffic of cytoskeletal motors
- Nonequilibrium Criticality at Shock Formation in Steady States
- Molecular motor traffic in a half-open tube
- Bulk and surface transitions in asymmetric simple exclusion process: Impact on boundary layers
- Lattice-gas model for active vesicle transport by molecular motors with opposite polarities
- Traffic by multiple species of molecular motors
- Bidirectional transport on a dynamic lattice
- Signal optimization in urban transport: A totally asymmetric simple exclusion process with traffic lights
- Robustness of spontaneous symmetry breaking in a bridge model
- Transport by molecular motors in the presence of static defects
- Dynamical phase transition of a 1D transport process including death
- Spontaneous symmetry breaking in a two-lane model for bidirectional overtaking traffic
- Phase segregation and transport in a two species multi-lane system
- Unusual shock wave in two-species driven systems with an umbilic point
- Self-organized lane-formation in bidirectional transport of molecular motors
- Bidirectional transport and pulsing states in a multi-lane ASEP model
- Particle interactions and lattice dynamics: Scenarios for efficient bidirectional stochastic transport?
- Role of interactions and correlations on collective dynamics of molecular motors along parallel filaments
- Two-lane totally asymmetric simple exclusion process with extended Langmuir kinetics
- Jamming transition in a driven lattice gas
- Two-species active transport along cylindrical biofilaments is limited by emergent topological hindrance
- Shocks in asymmetric simple exclusion processes of interacting particles
- Cytoskeleton and Cell Motility
- Dynamics of relaxation to a stationary state for interacting molecular motors
- Bidirectional Non-Markovian Exclusion Processes
- Traffic of Molecular Motors
- Walks of molecular motors interacting with immobilized filaments
- Exclusion process on an open lattice with fluctuating boundaries
- Boundary-driven phase transitions in open two-species driven systems with an umbilic point
- Existence and uniqueness of solution of the differential equation describing the TASEP-LK coupled transport process