Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
arXiv:cond-mat/0308450 · doi:10.1088/0305-4470/36/36/201
Abstract
Recent work on stochastic interacting particle systems with two particle species (or single-species systems with kinematic constraints) has demonstrated the existence of spontaneous symmetry breaking, long-range order and phase coexistence in nonequilibrium steady states, even if translational invariance is not broken by defects or open boundaries. If both particle species are conserved, the temporal behaviour is largely unexplored, but first results of current work on the transition from the microscopic to the macroscopic scale yield exact coupled nonlinear hydrodynamic equations and indicate the emergence of novel types of shock waves which are collective excitations stabilized by the flow of microscopic fluctuations. We review the basic stationary and dynamic properties of these systems, highlighting the role of conservation laws and kinetic constraints for the hydrodynamic behaviour, the microscopic origin of domain wall (shock) stability and the coarsening dynamics of domains during phase separation.
72 pages, 6 figures, 201 references (topical review for J. Phys. A: Math. Gen.)
References in corpus (3)
Cited by in corpus (75)
- Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
- Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
- Current fluctuations in the zero-range process with open boundaries
- Zero-range process with open boundaries
- Current Distribution and random matrix ensembles for an integrable asymmetric fragmentation process
- Spontaneous Symmetry Breaking in Two-Channel Asymmetric Exclusion Processes with Narrow Entrances
- A stochastic optimal velocity model and its long-lived metastability
- Zero range model of traffic flow
- Asymmetric Exclusion Model and Weighted Lattice Paths
- Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systems
- Effects of multiple occupancy and inter-particle interactions on selective transport through narrow channels: theory versus experiment
- Long range correlations and phase transition in non-equilibrium diffusive systems
- Spontaneous Symmetry Breaking in a Non-Conserving Two-Species Driven Model
- Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra I
- Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities
- Modelling one-dimensional driven diffusive systems by the Zero-Range Process
- Phase diagram of two-lane driven diffusive systems
- Analytic study of clustering in shaken granular material using zero-range processes
- Why spontaneous symmetry breaking disappears in a bridge system with PDE-friendly boundaries
- Dynamical origin of spontaneous symmetry breaking in a field-driven nonequilibrium system
- Long-range attraction between probe particles mediated by a driven fluid
- Infinite reflections of shock fronts in driven diffusive systems with two species
- Universality classes in two-component driven diffusive systems
- Exact solution of the zero-range process: fundamental diagram of the corresponding exclusion process
- Exact solution and asymptotic behaviour of the asymmetric simple exclusion process on a ring
- Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates
- Parallel Coupling of Symmetric and Asymmetric Exclusion Processes
- Disordered exclusion process revisited: some exact results in the low-current regime
- Traffic jams and ordering far from thermal equilibrium
- Rigorous results on spontaneous symmetry breaking in a one-dimensional driven particle system
- Large deviations in weakly interacting boundary driven lattice gases
- Application of thermodynamics to driven systems
- Robustness of spontaneous symmetry breaking in a bridge model
- Fermionic construction of tau functions and random processes
- Analytical study on the criticality of the Stochastic Optimal Velocity model
- Equivalence of ensembles for two-species zero-range invariant measures
- Hydrodynamics of the zero-range process in the condensation regime
- Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra II
- Exact matrix-product states for parallel dynamics: Open boundaries and excess mass on the ring
- Determinant representation for some transition probabilities in the TASEP with second class particles
- 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
- Construction of a matrix product stationary state from solutions of finite size system
- Condensation and coexistence in a two-species driven model
- Collective transport of weakly interacting molecular motors with Langmuir kinetics
- Dynamic Screening in a Two-Species Asymmetric Exclusion Process
- Coarsening dynamics in a two-species zero-range process
- Jamming transition in a driven lattice gas
- Condensation transition in zero-range processes with diffusion
- Two-species active transport along cylindrical biofilaments is limited by emergent topological hindrance
- Polymer Dynamics in Repton Model at Large Fields
- Interference of two co-directional exclusion processes in the presence of a static bottleneck: a biologically motivated model
- Transition probability and total crossing events in the multi-species asymmetric exclusion process
- Active quantum flocks
- Condensation induced by coupled transport processes
- KPZ modes in -dimensional directed polymers
- Hierarchy of boundary driven phase transitions in multi-species particle systems
- Asymmetric exclusion model with impurities
- A Multispecies Exclusion Process with Fusion and Fission of Rods: a model inspired by Intraflagellar Transport
- A Multispecies Exclusion Model Inspired By Transcriptional Interference
- Anomalous long-range correlations at a non-equilibrium phase transition
- Exclusion in Junction Geometries
- Priority diffusion model in lattices and complex networks
- Zero-range process with long-range interactions at a T-junction
- Random turn walk on a half line with creation of particles at the origin
- Asymmetric exclusion model with several kinds of impurities
- A biologically motivated three-species exclusion model: effects of leaky scanning and overlapping genes on initiation of protein synthesis
- Driven Transport on open filaments with inter-filament switching processes
- Boundary-driven phase transitions in open two-species driven systems with an umbilic point
- Factorised steady states for multi-species mass transfer models
- Translation with frameshifting of ribosome along mRNA transcript
- Random walk with priorities in communication-like networks
- Dynamical aspects of spontaneous symmetry breaking in driven flow with exclusion
- Universal scaling for second class particles in a one-dimensional misanthrope process