Inactive dynamical phase of a symmetric exclusion process on a ring

Abstract

We investigate the nature of the dynamically inactive phase of a simple symmetric exclusion process on a ring. We find that as the system's activity is tuned to a lower-than-average value the particles progressively lump into a single cluster, thereby forming a kink in the density profile. All dynamical regimes, and their finite size range of validity, are explicitly determined.

References in corpus (22)

• Dynamic first-order phase transition in kinetically constrained models of glasses
• Macroscopic fluctuation theory for stationary non equilibrium states
• First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
• Current fluctuations in non-equilibrium diffusive systems: an additivity principle
• Fluctuations in Stationary non Equilibrium States
• Thermodynamic formalism for systems with Markov dynamics
• Free-energy distribution of the directed polymer at high temperature
• Macroscopic current fluctuations in stochastic lattice gases
• Bethe anzats derivation of the Tracy-Widom distribution for one-dimensional directed polymers
• Distribution of current in non-equilibrium diffusive systems and phase transitions
• Space-time Thermodynamics of the Glass Transition
• Non equilibrium current fluctuations in stochastic lattice gases
• Universal cumulants of the current in diffusive systems on a ring
• Mapping out of equilibrium into equilibrium in one-dimensional transport models
• Cumulants and large deviations of the current through non-equilibrium steady states
• Large deviations for the boundary driven symmetric simple exclusion process
• Mapping Nonequilibrium onto Equilibrium: The Macroscopic Fluctuations of Simple Transport Models
• Dynamic transition in an atomic glass former: a molecular dynamics evidence
• Equilibrium-like fluctuations in some boundary-driven open diffusive systems
• Current fluctuations in systems with diffusive dynamics, in and out of equilibrium
• Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats
• $XXZ$ model as effective Hamiltonian for generalized Hubbard models with broken $\eta$-symmetry

Cited by in corpus (41)

• Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems
• Ergodicity and large deviations in physical systems with stochastic dynamics
• The Physicist's Companion to Current Fluctuations: One-Dimensional Bulk-Driven Lattice Gases
• Fluctuations of Current in Non-Stationary Diffusive Lattice Gases
• Optimizing active work: Dynamical phase transitions, collective motion, and jamming
• Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model
• Large deviations and dynamical phase transitions in stochastic chemical networks
• Microscopic structure of shocks and antishocks in the ASEP conditioned on low current
• Generic Dynamical Phase Transition in One-Dimensional Bulk-Driven Lattice Gases with Exclusion
• Conformal invariance in driven diffusive systems at high currents
• Dissipation controls transport and phase transitions in active fluids: Mobility, diffusion and biased ensembles
• Large deviation function for the entropy production: Optimal trajectory and role of fluctuations
• Survival of a static target in a gas of diffusing particles with exclusion
• Extreme Current Fluctuations in Lattice Gases: Beyond Nonequilibrium Steady States
• Exact fluctuating hydrodynamics of active lattice gases -- Typical fluctuations
• Dynamics and large deviation transitions of the XOR-Fredrickson-Andersen kinetically constrained model
• Geometrical optics of constrained Brownian excursion: from the KPZ scaling to dynamical phase transitions
• Void formation in diffusive lattice gases
• Optimal paths of non-equilibrium stochastic fields: the Kardar-Parisi-Zhang interface as a test case
• Phases of quantum dimers from ensembles of classical stochastic trajectories
• Optimal sampling of dynamical large deviations via matrix product states
• Giant leaps and long excursions: fluctuation mechanisms in systems with long-range memory
• Extreme Current Fluctuations in a Nonstationary Stochastic Heat Flow
• Entropy production and its large deviations in an active lattice gas
• Optimal sampling of dynamical large deviations in two dimensions via tensor networks
• Efficient characterisation of large deviations using population dynamics
• Finite size effects in a mean-field kinetically constrained model: dynamical glassiness and quantum criticality
• Tricritical behavior in dynamical phase transitions
• Emergence of fluctuating traveling front solutions in macroscopic theory of noisy invasion fronts
• Macroscopic fluctuation theory of local time in lattice gases
• Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions
• Dynamical phase transitions in one-dimensional hard-particle systems
• Short-time large deviations of the spatially averaged height of a KPZ interface on a ring
• Dynamical phase transitions for the activity biased Ising model in a magnetic field
• Long-ranged correlations in large deviations of local clustering
• Large deviations for correlated random variables described by a matrix product ansatz
• Rare-event trajectory ensemble approach to study dynamical phase transitions in the zero temperature Glauber model
• Emerging quasi-0D states at vanishing total entropy of the 1D hard sphere system: a coarse-grained similarity to the car parking problem
• Stochastic modeling of gene expression: application of ensembles of trajectories
• Mechanical analysis of a dynamical phase transition for particles in a channel
• Mapping current and activity fluctuations in exclusion processes: consequences and open questions