An Isaac Newton Institute Workshop

First-Passage and Extreme Value Problems in Random Processes

Persistence and survival in equilibrium step fluctuations

28th June 2006

Author: Dasgupta, C (Indian Institute of Science)

Abstract

The concepts of persistence and survival are used to characterize the first-passage properties of equilibrium fluctuations of steps on a vicinal surface. Analytic and numerical results are obtained for temporal and spatial persistence and survival probabilities and for the probability of persistent large deviations. These theoretical results are found to be in very good agreement with those obtained from experiments in which time-dependent scanning tunneling microscopy is used to study equilibrium step fluctuations.