Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems

Abstract

We analyse biased ensembles of trajectories for diffusive systems. In trajectories biased either by the total activity or the total current, we use fluctuating hydrodynamics to show that these systems exhibit phase transtions into `hyperuniform' states, where large-wavelength density fluctuations are strongly suppressed. We illustrate this behaviour numerically for a system of hard particles in one dimension and we discuss how it appears in simple exclusion processes. We argue that these diffusive systems generically respond very strongly to any non-zero bias, so that homogeneous states with "normal" fluctuations (finite compressibility) exist only when the bias is very weak.

arXiv comment9 pages, 3 figures

References in corpus (33)

• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Dynamical ensembles in stationary states
• Local Density Fluctuations, Hyperuniformity, and Order Metrics
• Designer disordered materials with large complete photonic band gaps
• 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
• Macroscopic current fluctuations in stochastic lattice gases
• Avian photoreceptor patterns represent a disordered hyperuniform solution to a multiscale packing problem
• Distribution of current in non-equilibrium diffusive systems and phase transitions
• Nonequilibrium microcanonical and canonical ensembles and their equivalence
• Non equilibrium current fluctuations in stochastic lattice gases
• Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings
• Universal cumulants of the current in diffusive systems on a ring
• Large Deviations in Single File Diffusion
• Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast
• Mapping out of equilibrium into equilibrium in one-dimensional transport models
• Chaotic properties of systems with Markov dynamics
• Suppressed compressibility at large scale in jammed packings of size disperse spheres
• Towards a nonequilibrium thermodynamics: a self-contained macroscopic description of driven diffusive systems
• Symmetries in Fluctuations Far from Equilibrium
• Finite-temperature critical point of a glass transition
• Thermodynamics of currents in nonequilibrium diffusive systems: theory and simulation
• Transition probabilities and dynamic structure factor in the ASEP conditioned on strong flux
• Mapping Nonequilibrium onto Equilibrium: The Macroscopic Fluctuations of Simple Transport Models
• Inactive dynamical phase of a symmetric exclusion process on a ring
• Generation of Primordial Cosmological Perturbations from Statistical Mechanical Models
• Long range correlations and phase transition in non-equilibrium diffusive systems
• Metastable states and space-time phase transitions in a spin-glass model
• Current fluctuations in systems with diffusive dynamics, in and out of equilibrium
• Large deviations of the dynamical activity in the East model: analysing structure in biased trajectories

Cited by in corpus (94)

• Hyperuniform States of Matter
• Hyperuniformity and its Generalizations
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Ensemble Theory for Stealthy Hyperuniform Disordered Ground States
• Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions
• Ergodicity and large deviations in physical systems with stochastic dynamics
• Effective interactions and large deviations in stochastic processes
• The Physicist's Companion to Current Fluctuations: One-Dimensional Bulk-Driven Lattice Gases
• Optimizing active work: Dynamical phase transitions, collective motion, and jamming
• Transport, Geometrical and Topological Properties of Stealthy Disordered Hyperuniform Two-Phase Systems
• Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model
• Ground states of stealthy hyperuniform potentials: I. Entropically favored configurations
• Using matrix product states to study the dynamical large deviations of kinetically constrained models
• Stone-Wales Defects Preserve Hyperuniformity in Amorphous Two-Dimensional Materials
• Disordered Hyperuniform Heterogeneous Materials
• Phase separation and large deviations of lattice active matter
• The Perfect Glass Paradigm: Disordered Hyperuniform Glasses Down to Absolute Zero
• Large deviations and dynamical phase transitions in stochastic chemical networks
• Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
• Generic Dynamical Phase Transition in One-Dimensional Bulk-Driven Lattice Gases with Exclusion
• How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions
• Conformal invariance in driven diffusive systems at high currents
• Dissipation controls transport and phase transitions in active fluids: Mobility, diffusion and biased ensembles
• Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton
• Building continuous time crystals from rare events
• Collective motion in large deviations of active particles
• Current fluctuations of interacting active Brownian particles
• Classical stochastic dynamics and continuous matrix product states: gauge transformations, conditioned and driven processes, and equivalence of trajectory ensembles
• Order and symmetry-breaking in the fluctuations of driven systems
• Sampling rare events across dynamical phase transitions
• Variational control forces for enhanced sampling of nonequilibrium molecular dynamics simulations
• Exact fluctuating hydrodynamics of active lattice gases -- Typical fluctuations
• Hyperuniformity with no fine tuning in sheared sedimenting suspensions
• Hidden Multiscale Order in the Primes
• Dynamics and large deviation transitions of the XOR-Fredrickson-Andersen kinetically constrained model
• Large-scale structure of randomly jammed particles
• Current fluctuations in boundary-driven quantum spin chains
• Trajectory phase transitions in non-interacting spin systems
• Finite time large deviations via matrix product states
• Phases of quantum dimers from ensembles of classical stochastic trajectories
• Optimal sampling of dynamical large deviations via matrix product states
• Uncovering Multiscale Order in the Prime Numbers via Scattering
• Entropy production and its large deviations in an active lattice gas
• Disordered multihyperuniformity derived from binary plasmas
• Optimal sampling of dynamical large deviations in two dimensions via tensor networks
• Large deviations and optimal control forces for hard particles in one dimension
• A geometric-Structure Theory for maximally Random Jammed Packings
• Slow dynamics and large deviations in classical stochastic Fredkin chains
• Effect of Window Shape on the Detection of Hyperuniformity via the Local Number Variance
• Weak additivity principle for current statistics in d-dimensions
• Disordered Hyperuniform Quasi-1D Materials
• A large deviation theory perspective on nanoscale transport phenomena
• Extraordinary Optical and Transport Properties of Disordered Stealthy Hyperuniform Two-Phase Media
• Non-equilibrium dynamic hyperuniform states
• Catching and reversing quantum jumps and thermodynamics of quantum trajectories
• Inverse design of disordered stealthy hyperuniform spin chains
• Enhancing (quasi-)long-range order in a two-dimensional driven crystal
• The structure factor of primes
• A Deep Learning Functional Estimator of Optimal Dynamics for Sampling Large Deviations
• Rare-Event Properties of the Nagel-Schreckenberg Model
• Tricritical behavior in dynamical phase transitions
• Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids
• Coupled activity-current fluctuations in open quantum systems under strong symmetries
• The kinetic exclusion process: a tale of two fields
• Persistent homology and topological statistics of hyperuniform point clouds
• Dynamical criticality in open systems: non-perturbative physics, microscopic origin and direct observation
• Current large deviations for partially asymmetric particle systems on a ring
• Characterizing Pixel and Point Patterns with a Hyperuniformity Disorder Length
• Hyperuniform Density Distributions of Brownian Particles via Designer External Potentials
• Lower current large deviations for zero-range processes on a ring
• Absence of dissipation in trajectory ensembles biased by currents
• Dynamical phase transition to localized states in the two-dimensional random walk conditioned on partial currents
• Spectral signatures of symmetry-breaking dynamical phase transitions
• Symmetry-induced fluctuation relations in open quantum systems
• Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions
• Finding the effective dynamics to make rare events typical in chaotic maps
• KPZ fluctuations in finite volume
• Dynamical phase transitions in one-dimensional hard-particle systems
• Long-ranged correlations in large deviations of local clustering
• Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics
• Feynman-Kac theory of time-integrated functionals: Itô versus functional calculus
• Trajectory phase transitions in non-interacting systems: all-to-all dynamics and the random energy model
• Emergent universal long-range structure in random-organizing systems
• Infinite family of universal profiles for heat current statistics in Fourier's law
• Current fluctuations in a stochastic system of classical particles with next-nearest-neighbor interactions
• Spectral Leakage and Masking Effects in the Measurement of Hyperuniformity
• Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems
• Emergence of particle clusters in a one-dimensional model: connection to condensation processes
• Structure of the optimal path to a fluctuation
• Noise driven phase transitions in eco-evolutionary systems
• Topological Defects, Inherent Structures, and Hyperuniformity
• Mechanical analysis of a dynamical phase transition for particles in a channel
• Mapping current and activity fluctuations in exclusion processes: consequences and open questions
• Exact large deviations and emergent long-range correlations in sequential quantum East circuits