Survival in equilibrium step fluctuations
arXiv:cond-mat/0307086 · doi:10.1103/PhysRevE.69.022101
Abstract
We report the results of analytic and numerical investigations of the time scale of survival or non-zero-crossing probability in equilibrium step fluctuations described by Langevin equations appropriate for attachment/detachment and edge-diffusion limited kinetics. An exact relation between long-time behaviors of the survival probability and the autocorrelation function is established and numerically verified. is shown to exhibit simple scaling behavior as a function of system size and sampling time. Our theoretical results are in agreement with those obtained from an analysis of experimental dynamical STM data on step fluctuations on Al/Si(111) and Ag(111) surfaces.
RevTeX, 4 pages, 3 figures
References in corpus (8)
- Persistence exponents for fluctuating interfaces
- Experimental Measurement of the Persistence Exponent of the Planar Ising Model
- Experimental Persistence Probability for Fluctuating Steps
- Temporal and spatial persistence of combustion fronts
- Measurement of persistence in 1D diffusion
- Persistence in higher dimensions : a finite size scaling study
- Persistence of a Continuous Stochastic Process with Discrete-Time Sampling
- Persistence of a Continuous Stochastic Process with Discrete-Time Sampling: Non-Markov Processes
Cited by in corpus (16)
- Persistence and First-Passage Properties in Non-equilibrium Systems
- Airy Distribution Function: From the Area Under a Brownian Excursion to the Maximal Height of Fluctuating Interfaces
- Universal Asymptotic Statistics of Maximal Relative Height in One-dimensional Solid-on-solid Models
- Persistence in nonequilibrium surface growth
- Volatility, Persistence, and Survival in Financial Markets
- Correlation Time for Step Structural Fluctuations
- Spatial survival probability for one-dimensional fluctuating interfaces in the steady state
- Power laws in surface physics: The deep, the shallow and the useful
- Sampling Time Effects for Persistence and Survival in Step Structural Fluctuations
- Persistence of Randomly Coupled Fluctuating Interfaces
- Spatial persistence and survival probabilities for fluctuating interfaces
- Persistence of a Rouse polymer chain under transverse shear flow
- Persistence and survival in equilibrium step fluctuations
- Finite Size Effect in Persistence
- Persistence in Random Walk in Composite Media
- Generalized survival in equilibrium step fluctuations