Abstract
Roughening of a one-dimensional interface is studied under the assumption that the interface configurations are continuous, periodic random walks. The distribution of the square of the width of interface, , is found to scale as P()=〈Φ(/〈〉) where 〈〉 is the average of . We calculate the scaling function Φ(x) exactly and compare it both to exact enumerations for a discrete-slope surface evolution model and to Φ’s obtained in Monte Carlo simulations of equilibrium and driven interfaces of chemically reacting systems.
DOI:https://doi.org/10.1103/PhysRevE.50.R639
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