Persistence in Nonequilibrium Systems

Abstract

This is a brief review of recent theoretical efforts to understand persistence in nonequilibrium systems. Some of the recent experimental results are also briefly mentioned. I also discuss recent generalizations of persistence in various directions and conclude with a summary of open questions.

Brief review on persistence written for Current Science

Cited by in corpus (114)

• Diffusion with Stochastic Resetting
• Growing interfaces uncover universal fluctuations behind scale invariance
• Optimal mean first-passage time for a Brownian searcher subjected to resetting: experimental and theoretical results
• Run-and-tumble particle in one-dimensional confining potential: Steady state, relaxation and first passage properties
• First passages for a search by a swarm of independent random searchers
• Universal First-passage Properties of Discrete-time Random Walks and Levy Flights on a Line: Statistics of the Global Maximum and Records
• Active Brownian Motion in Two Dimensions
• Universal survival probability for a $d$-dimensional run-and-tumble particle
• Experimental realization of directed percolation criticality in turbulent liquid crystals
• First passage of a particle in a potential under stochastic resetting: a vanishing transition of optimal resetting rate
• Maximal Height Scaling of Kinetically Growing Surfaces
• Extreme Value Statistics of Hierarchically Correlated Variables: Deviation from Gumbel Statistics and Anomalous Persistence
• Record statistics and persistence for a random walk with a drift
• Universal Asymptotic Statistics of Maximal Relative Height in One-dimensional Solid-on-solid Models
• Asymptotic behavior of self-affine processes in semi-infinite domains
• Persistence in Complex Systems
• Hitting probability for anomalous diffusion processes
• Non-crossing run-and-tumble particles on a line
• Evidence of universality for the May-Wigner stability theorem for random networks with local dynamics
• Statistical Properties of Functionals of the Paths of a Particle Diffusing in a One-Dimensional Random Potential
• Extreme-Value Statistics of Fractional Brownian Motion Bridges
• Universal Properties of a Run-and-Tumble Particle in Arbitrary Dimension
• First-passage and first-exit times of a Bessel-like stochastic process
• Persistence in nonequilibrium surface growth
• Perturbation Theory for Fractional Brownian Motion in Presence of Absorbing Boundaries
• Real Roots of Random Polynomials and Zero Crossing Properties of Diffusion Equation
• The Maximum of a Fractional Brownian Motion: Analytic Results from Perturbation Theory
• Exact persistence exponent for the $2d$-diffusion equation and related Kac polynomials
• Position distribution in a generalised run and tumble process
• Field theoretic approach to metastability in the contact process
• Perturbative Expansion for the Maximum of Fractional Brownian Motion
• Universal first-passage statistics of aging processes
• Renewal theory with fat tailed distributed sojourn times: typical versus rare
• On the Gap and Time Interval between the First Two Maxima of Long Random Walks
• Persistence Exponents and the Statistics of Crossings and Occupation Times for Gaussian Stationary Processes
• Maximum of N Independent Brownian Walkers till the First Exit From the Half Space
• Statistics of the Number of Zero Crossings : from Random Polynomials to Diffusion Equation
• Infinite family of persistence exponents for interface fluctuations
• Survival probability of stochastic processes beyond persistence exponents
• Persistence properties of a system of coagulating and annihilating random walkers
• No zero-crossings for random polynomials and the heat equation
• Persistence probabilities \& exponents
• Persistence of Manifolds in Nonequilibrium Critical Dynamics
• First-Passage Exponents of Multiple Random Walks
• First passage in an interval for fractional Brownian motion
• Survival probability of a Brownian motion in a planar wedge of arbitrary angle
• Exact Occupation Time Distribution in a Non-Markovian Sequence and Its Relation to Spin Glass Models
• Power laws in surface physics: The deep, the shallow and the useful
• Zero-Temperature Coarsening in the Two-Dimensional Long-Range Ising Model
• Scaling and Persistence in the Two-Dimensional Ising Model
• Accurate statistics of a flexible polymer chain in shear flow
• A theoretical model for the associative nature of conference participation
• Dynamical phase transition in the first-passage probability of a Brownian motion
• Non-crossing Brownian paths and Dyson Brownian motion under a moving boundary
• Persistence analysis of velocity and temperature fluctuations in convective surface layer turbulence
• Probability distribution of the maximum of a smooth temporal signal
• Crossing intervals of non-Markovian Gaussian processes
• Phase-ordering kinetics in the Allen-Cahn (Model A) class: universal aspects elucidated by electrically-induced transition in liquid crystals
• Zero temperature dynamics of Ising model on a densely connected small world network
• Survival probability of a diffusing particle constrained by two moving, absorbing boundaries
• Heavy inertial particles in turbulent flows gain energy slowly but lose it rapidly
• Statistical physics of a model binary genetic switch with linear feedback
• Persistence exponent of the diffusion equation in epsilon dimensions
• Persistence and survival in equilibrium step fluctuations
• Unravelling the turbulent structures of temperature variations during a wind gust event: a case study
• Perturbation theory for the one-dimensional trapping reaction
• First passage statistics of active random walks on one and two dimensional lattices
• Survival of a diffusing particle in an expanding cage
• Persistence of a Brownian particle in a Time Dependent Potential
• Persistence in Brownian motion of an ellipsoidal particle in two dimensions
• Fluctuations around equilibrium laws in ergodic continuous-time random walks
• Non-Gaussianity and Dynamical Trapping in Locally Activated Random Walks
• Field-driven tracer diffusion through curved bottlenecks: Fine structure of first passage events
• Phase-ordering and persistence: relative effects of space-discretization, chaos, and anisotropy
• Noise driven dynamic phase transition in a a one dimensional Ising-like model
• A scale-wise analysis of intermittent momentum transport in dense canopy flows
• Time correlations and persistence probability of a Brownian particle in a shear flow
• Maximal distance travelled by N vicious walkers till their survival
• Persistence probabilities for an integrated random walk bridge
• Persistence of an active asymmetric rigid Brownian particle in two dimensions
• Exact Analysis of Level-Crossing Statistics for (d+1)-Dimensional Fluctuating Surfaces
• Mean-field interactions in evolutionary spatial games
• Persistence behaviour of heat and momentum fluxes in convective surface layer turbulence
• The notion of persistence applied to breathers in thermal equilibrium
• Persistence exponent for discrete-time, time-reversible processes
• Generalized survival in equilibrium step fluctuations
• Random walks and branching processes in correlated Gaussian environment
• Comment on ``Phase ordering in chaotic map lattices with conserved dynamics''
• Records in Fractal Stochastic Processes
• Unilateral Small Deviations for the Integral of Fractional Brownian Motion
• Maximum Distance Between the Leader and the Laggard for Three Brownian Walkers
• Persistence Exponents and Scaling In Two Dimensional XY model and A Nematic Model
• A universality class in Markovian persistence
• Novel ballistic to diffusive crossover in the dynamics of a one dimensional Ising model with variable range of interaction
• Mapping spatial persistent large deviations of nonequilibrium surface growth processes onto the temporal persistent large deviations of stochastic random walk processes
• Scaling of local persistence in the disordered contact process
• Thermal transitions in a one-dimensional, finite-size Ising model
• Dynamical Critical Behaviors of the Ising Spin Chain: Swendsen-Wang and Wolff Algorithms
• Persistence probabilities for stationary increment processes
• Ordering statistics of 4 random walkers on the line
• Persistence discontinuity in disordered contact processes with long-range interactions
• Approach to zigzag and checkerboard patterns in spatially extended systems
• Zero temperature ordering dynamics in two dimensional BNNNI model
• Small deviations for a family of smooth Gaussian processes
• Emergence of dynamic phases in the presence of different kinds of open boundaries in stochastic transport with short-range interactions
• Probability distribution of persistent spins in a Ising chain
• Persistence of Non-Markovian Gaussian Stationary Processes in Discrete Time
• Stochastic and Quantum Dynamics of Repulsive Particles: from Random Matrix Theory to Trapped Fermions
• Penalizing fractional Brownian motion for being negative
• A simple method to calculate first-passage time densities of non-smooth processes
• Dynamics of a flexible polymer in planar mixed flow
• Persistence exponent for random walk on directed versions of $Z^2$
• The Problem of Small Unilateral Deviations: the Existence of Decay Exponents
• Small values of the maximum for the integral of fractional Brownian motion