Non-equilibrium steady states: fluctuations and large deviations of the density and of the current

From MaRDI portal
Publication:5239382

DOI10.1088/1742-5468/2007/07/P07023zbMath1456.82551arXivcond-mat/0703762MaRDI QIDQ5239382

Bernard Derrida

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0703762



Related Items

Large deviations for metastable states of Markov processes with absorbing states with applications to population models in stable or randomly switching environment, Exact solution of an integrable non-equilibrium particle system, Feynman-Kac theory of time-integrated functionals: Itô versus functional calculus, Integrability of two-species partially asymmetric exclusion processes, Microscopic fluctuation theory (mFT) for interacting Poisson processes, Graph-combinatorial approach for large deviations of Markov chains, Thermal contact through a two-temperature kinetic Ising chain, Dynamical large deviations for the boundary driven symmetric exclusion process with Robin boundary conditions, Joint distribution of two local times for diffusion processes with the application to the construction of various conditioned processes, Cycles, randomness, and transport from chaotic dynamics to stochastic processes, A solvable stochastic model for one-dimensional fracturing or catalysis processes, On the Kemeny time for continuous-time reversible and irreversible Markov processes with applications to stochastic resetting and to conditioning towards forever-survival, Revisiting boundary-driven non-equilibrium Markov dynamics in arbitrary potentials via supersymmetric quantum mechanics and via explicit large deviations at various levels, Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift, Ergodicity and large deviations in physical systems with stochastic dynamics, On a class of solvable stationary non equilibrium states for mass exchange models, Stationary measure for six-vertex model on a strip, Conformal invariance in conditioned stochastic particle systems, Hydrodynamic and hydrostatic limit for a generalized contact process with mixed boundary conditions, From the asymmetric simple exclusion processes to the stationary measures of the KPZ fixed point on an interval, Bernoulli variables, classical exclusion processes and free probability, Revisiting classical and quantum disordered systems from the unifying perspective of large deviations, Whitham approach to certain large fluctuation problems in statistical mechanics, Solvable stationary non equilibrium states, Large deviations at level 2.5 and for trajectories observables of diffusion processes: the missing parts with respect to their random-walks counterparts, Unnamed Item, Dynamical phase transitions in the current distribution of driven diffusive channels, Unifying theories for nonequilibrium statistical mechanics, Effective bandwidth of non-Markovian packet traffic, Asymmetric scaling in large deviations for rare values bigger or smaller than the typical value, Eigenstates of triangularisable open XXX spin chains and closed-form solutions for the steady state of the open SSEP, Dynamical phase coexistence in the Fredrickson–Andersen model, Non-additive large deviation function for the particle densities of driven systems in contact, Dynamical phase transitions for the activity biased Ising model in a magnetic field, Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions, The kinetic exclusion process: a tale of two fields, Free fermions with a localized source, Nonequilibrium calorimetry, Exact fluctuating hydrodynamics of active lattice gases—typical fluctuations, Large deviations at various levels for run-and-tumble processes with space-dependent velocities and space-dependent switching rates, Jump-drift and jump-diffusion processes: large deviations for the density, the current and the jump-flow and for the excursions between jumps, Exact solution of a quantum asymmetric exclusion process with particle creation and annihilation, Dynamical phase transition in the activity-biased fully-connected random field Ising model: connection with glass-forming systems, Large deviations for the skew-detailed-balance lifted-Markov processes to sample the equilibrium distribution of the Curie–Weiss model, Dispersal and organization of polarized cells: non-linear diffusion and cluster formation without adhesion, Sampling rare events across dynamical phase transitions, Physical mechanisms in impacts of interaction factors on totally asymmetric simple exclusion processes, Quantum return probability of a system ofNnon-interacting lattice fermions, Matrix product solution to multi-species ASEP with open boundaries, Gradient structure and transport coefficients for strong particles, Nonequilibrium steady state of a weakly-driven Kardar–Parisi–Zhang equation, Simple derivation of the (– λ H)5/2 tail for the 1D KPZ equation, Active fluctuation symmetries, Large deviations for dynamical fluctuations of open Markov processes, with application to random cascades on trees, Fluctuation theorems for stochastic dynamics, Fractional equation description of an open anomalous heat conduction set-up, Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit, Large-deviation theory for a Brownian particle on a ring: a WKB approach, Large deviations for the density and current in non-equilibrium-steady-states on disordered rings, Geometrical optics of constrained Brownian excursion: from the KPZ scaling to dynamical phase transitions, Revisiting the Ruelle thermodynamic formalism for Markov trajectories with application to the glassy phase of random trap models, Non-Gaussian anomalous dynamics in systems of interacting run-and-tumble particles, Large deviations and optimal control forces for hard particles in one dimension, Real-space renormalization for disordered systems at the level of large deviations, Current statistics and depinning transition for a one-dimensional Langevin process in the weak-noise limit, Large deviations for Markov processes with stochastic resetting: analysis via the empirical density and flows or via excursions between resets, Large deviations of the Lyapunov exponent in 2D matrix Langevin dynamics with applications to one-dimensional Anderson localization models, Inhomogeneous asymmetric exclusion processes between two reservoirs: large deviations for the local empirical observables in the mean-field approximation, Uncertainty relations for mesoscopic coherent light, Current statistics in the q-boson zero range process, Sub-grid modelling for a diffusive lattice gas, A comparison of dynamical fluctuations of biased diffusion and run-and-tumble dynamics in one dimension, Statistical physics of long dynamical trajectories for a system in contact with several thermal reservoirs, Large deviations of currents in diffusions with reflective boundaries, Can the macroscopic fluctuation theory be quantized?, Macroscopic fluctuations of a driven tracer in the symmetric exclusion process, Exact solution to integrable open multi-species SSEP and macroscopic fluctuation theory, Asymmetric stochastic transport models with \(\mathcal{U}_q(\mathfrak{su}(1,1))\) symmetry, Stochastic impedance, Rate dependence of current and fluctuations in jump models with negative differential mobility, Matrix product representation of the stationary state of the open zero range process, Introduction to dynamical large deviations of Markov processes, Hyperuniform states of matter, Nonequilibrium enhanced classical measurement and estimation, Large deviations in the symmetric simple exclusion process with slow boundaries, Hydrodynamics for SSEP with non-reversible slow boundary dynamics. I: The critical regime and beyond, Dynamical phase transitions for flows on finite graphs, Duality for stochastic models of transport, Frenesy: time-symmetric dynamical activity in nonequilibria, Existence of nonequilibrium steady state for a simple model of heat conduction, Lower current large deviations for zero-range processes on a ring, Exclusion process with slow boundary, Acceleration of convergence to equilibrium in Markov chains by breaking detailed balance, Totally asymmetric limit for models of heat conduction, Finite size corrections to the large deviation function of the density in the one-dimensional symmetric simple exclusion process, Non-equilibrium and stationary fluctuations for the SSEP with slow boundary, Tagged particle in single-file diffusion, Static large deviations for a reaction-diffusion model, Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion, Simulations of transport in hard particle systems, Conditioned random walks and interaction-driven condensation, Efficient large deviation estimation based on importance sampling, Theoretical approaches to the steady-state statistical physics of interacting dissipative units, Integrable Floquet dynamics, generalized exclusion processes and ``fused matrix ansatz, Existence and uniqueness of nonequilibrium stationary solutions in discrete thermostatted models, Non-equilibrium phase transition from AdS/CFT, A low temperature analysis of the boundary driven Kawasaki process, Thermodynamics and dynamics of systems with long-range interactions, Realization of the open-boundary totally asymmetric simple exclusion process on a ring, Macroscopic length correlations in non-equilibrium systems and their possible realizations, Dynamical fluctuations for periodically driven diffusions, Nonequilibrium statistical mechanics of shear flow: invariant quantities and current relations, Some exact results for the exclusion process, Microscopic versus macroscopic approaches to non-equilibrium systems, Non-differentiable large-deviation functionals in boundary-driven diffusive systems, Density profiles of the exclusive queuing process, Kinetic theory of nonequilibrium stochastic long-range systems: phase transition and bistability, Void formation in diffusive lattice gases, The totally asymmetric exclusion process with generalized update, Thermal contact through a diathermal wall: a solvable toy model, Modified saddle-point integral near a singularity for the large deviation function, Extreme current fluctuations in a nonstationary stochastic heat flow, Dynamics of repulsion processes, Transport-induced correlations in weakly interacting systems, Large deviations for correlated random variables described by a matrix product ansatz, Thermodynamics of stationary states, Extreme fluctuations of current in the symmetric simple exclusion process: a non-stationary setting, Large fluctuations in diffusion-controlled absorption, Singularities in large deviation functionals of bulk-driven transport models, Fluctuation relations for equilibrium states with broken discrete or continuous symmetries, Density profiles, dynamics, and condensation in the ZRP conditioned on an atypical current, Current fluctuations and large deviations for periodic TASEP on the relaxation scale, Variational and optimal control representations of conditioned and driven processes, Full absorption statistics of diffusing particles with exclusion, The number statistics and optimal history of non-equilibrium steady states of mortal diffusing particles, Fluctuations in interacting particle systems with memory, Singularities in large deviation functions, Dynamical properties of single-file diffusion, Large deviation function of a tracer position in single file diffusion, Correlations of the density and of the current in non-equilibrium diffusive systems, Long range correlations in stochastic transport with energy and momentum conservation, Statistics of large currents in the Kipnis–Marchioro–Presutti model in a ring geometry, Extreme current fluctuations of boundary-driven systems in the large-Nlimit, Quasilocal charges in integrable lattice systems, Absence of dissipation in trajectory ensembles biased by currents, Glaubers Ising chain between two thermostats, Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the non-equilibrium-steady-state, Boundary-driven Lindblad dynamics of random quantum spin chains: strong disorder approach for the relaxation, the steady state and the current, Nonequilibrium Markov processes conditioned on large deviations, Adaptive sampling of large deviations, Weighted dependency graphs, Asymmetric simple exclusion process with open boundaries and Koornwinder polynomials, Hydrostatics and dynamical large deviations of boundary driven gradient symmetric exclusion processes, Entropy of non-equilibrium stationary measures of boundary driven TASEP, On the second fluctuation-dissipation theorem for nonequilibrium baths, Modeling complex systems with particles refuge by thermostatted kinetic theory methods, Large deviations of jump process fluxes, Solution to the quantum symmetric simple exclusion process: the continuous case, Diffusions conditioned on occupation measures, Affinity and fluctuations in a mesoscopic noria, Super-hydrodynamic limit in interacting particle systems, Fluctuations in ballistic transport from Euler hydrodynamics, Coupling control variates for Markov chain Monte Carlo, Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries, Inference of Markov models from trajectories via large deviations at level 2.5 with applications to random walks in disordered media, Isometric uncertainty relations, Closed hierarchy of correlations in Markovian open quantum systems, Large time asymptotic of heavy tailed renewal processes, Exact response theory and Kuramoto dynamics, Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps, Large deviations conditioned on large deviations. I: Markov chain and Langevin equation, Large deviations conditioned on large deviations II: Fluctuating hydrodynamics, Current large deviations for partially asymmetric particle systems on a ring, Trees and forests for nonequilibrium purposes: an introduction to graphical representations, Multi-state asymmetric simple exclusion processes, Random paths and current fluctuations in nonequilibrium statistical mechanics



Cites Work