Sign-time distributions for interface growth

Abstract

We apply the recently introduced distribution of sign-times (DST) to non-equilibrium interface growth dynamics. We are able to treat within a unified picture the persistence properties of a large class of relaxational and noisy linear growth processes, and prove the existence of a non-trivial scaling relation. A new critical dimension is found, relating to the persistence properties of these systems. We also illustrate, by means of numerical simulations, the different types of DST to be expected in both linear and non-linear growth mechanisms.

4 pages, 5 ps figs, replaced misprint in authors name

References in corpus (2)

• Persistence with Partial Survival
• Diffusive persistence and the `sign-time' distribution

Cited by in corpus (30)

• Persistence and First-Passage Properties in Non-equilibrium Systems
• The Local and the Occupation Time of a Particle Diffusing in a Random Medium
• Experimental Persistence Probability for Fluctuating Steps
• Large-Deviation Functions for Nonlinear Functionals of a Gaussian Stationary Markov Process
• A Random Walk to a Non-Ergodic Equilibrium Concept
• Persistence in nonequilibrium surface growth
• Spectral theory of fluctuations in time-average statistical mechanics of reversible and driven systems
• Persistence Exponents and the Statistics of Crossings and Occupation Times for Gaussian Stationary Processes
• Infinite family of persistence exponents for interface fluctuations
• Critical dimensions of the diffusion equation
• Exact Occupation Time Distribution in a Non-Markovian Sequence and Its Relation to Spin Glass Models
• Statistics of occupation time and connection to local properties of non-homogeneous random walks
• Statistics of the occupation time for a class of Gaussian Markov processes
• Persistence of a Continuous Stochastic Process with Discrete-Time Sampling: Non-Markov Processes
• Dynamical phase transition in the occupation fraction statistics for non-crossing Brownian particles
• Persistence and survival in equilibrium step fluctuations
• Persistence in Brownian motion of an ellipsoidal particle in two dimensions
• Persistence in Cluster--Cluster Aggregation
• Persistence of a Brownian particle in a Time Dependent Potential
• Occupation time of a system of Brownian particles on the line with steplike initial condition
• Time correlations and persistence probability of a Brownian particle in a shear flow
• Statistics of the occupation time for a random walk in the presence of a moving boundary
• Persistence of an active asymmetric rigid Brownian particle in two dimensions
• Generalized arcsine laws for a sluggish random walker with subdiffusive growth
• Dynamics of the two-dimensional directed Ising model: zero-temperature coarsening
• Mapping spatial persistent large deviations of nonequilibrium surface growth processes onto the temporal persistent large deviations of stochastic random walk processes
• Exact joint distributions of three global characteristic times for Brownian motion
• Diffusive Persistence on Disordered Lattices and Random Networks
• Occupation time of a renewal process coupled to a discrete Markov chain
• Fluctuations and Persistence in Quantum Diffusion on Regular Lattices