Microscopic Model for Thin Film Spreading

Douglas B. Abraham, Rodolfo Cuerno, and Esteban Moro
Phys. Rev. Lett. 88, 206101 – Published 1 May 2002
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Abstract

A microscopic, driven lattice gas model is proposed for the dynamics and spatiotemporal fluctuations of the precursor film observed in spreading experiments. Matter is transported both by holes and particles, and the distribution of each can be described by driven diffusion with a moving boundary. This picture leads to a stochastic partial differential equation for the shape of the boundary. Explicit analytic results are obtained which agree with the simulations of the lattice gas.

  • Received 21 June 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.206101

©2002 American Physical Society

Authors & Affiliations

Douglas B. Abraham1, Rodolfo Cuerno2, and Esteban Moro1

  • 1Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom
  • 2Departamento de Matemáticas and GISC, Universidad Carlos III de Madrid, Avenida Universidad 30, 28911 Leganés, Spain

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Vol. 88, Iss. 20 — 20 May 2002

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