Bubbles Interactions in the Cahn-Hilliard Equation

H. Calisto; M. Clerc; R. Rojas; E. Tirapegui

doi:10.1103/PhysRevLett.85.3805

Bubbles Interactions in the Cahn-Hilliard Equation

H. Calisto, M. Clerc, R. Rojas, and E. Tirapegui

Phys. Rev. Lett. 85, 3805 – Published 30 October 2000

Abstract

We study the dynamics of bubbles in the one dimensional Cahn-Hilliard equation. For a gas of diluted bubbles we find ordinary differential equations describing their interaction which permits us to describe the ulterior dynamics of the system in very good agreement with numerical simulations.

Received 6 April 2000

DOI:https://doi.org/10.1103/PhysRevLett.85.3805

Authors & Affiliations

H. Calisto², M. Clerc¹, R. Rojas^2,3, and E. Tirapegui⁴

¹Institut Non Linéaire de Nice, UMR 6618 CNRS-UNSA, 1361 Route des lucioles, F-065600 Valbonne, France
²Centro de Física No Lineal y Sistemas Complejos de Santiago, Casilla 27122 Correo 27, Santiago, Chile
³Facultad de Ciencias Físicas y Matemáticas, Departamento Ingeniería Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile
⁴Facultad de Ciencias Físicas y Matemáticas, Departamento Físicas, Universidad de Chile, Casilla 487-3, Santiago, Chile