• Rapid Communication

Width distribution for random-walk interfaces

G. Foltin, K. Oerding, Z. Rácz, R. L. Workman, and R. K. P. Zia
Phys. Rev. E 50, R639(R) – Published 1 August 1994
PDFExport Citation

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, w2, is found to scale as P(w2)=〈w21Φ(w2/〈w2〉) where 〈w2〉 is the average of w2. 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

    ©1994 American Physical Society

    Authors & Affiliations

    G. Foltin, K. Oerding, Z. Rácz, R. L. Workman, and R. K. P. Zia

    • Center for Stochastic Processes in Science and Engineering and Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061

    References (Subscription Required)

    Click to Expand
    Issue

    Vol. 50, Iss. 2 — August 1994

    Reuse & Permissions
    Access Options
    Author publication services for translation and copyediting assistance advertisement

    Authorization Required


    ×
    ×

    Images

    ×

    Sign up to receive regular email alerts from Physical Review E

    Log In

    Cancel
    ×

    Search


    Article Lookup

    Paste a citation or DOI

    Enter a citation
    ×