Coarsening dynamics of the one-dimensional Cahn-Hilliard model

M. Argentina, M. G. Clerc, R. Rojas, E. Tirapegui

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


The dynamics of one-dimensional Cahn-Hilliard model is studied. The stationary and particle-type solutions, the bubbles, are perused as a function of initial conditions, boundary conditions, and system size. We characterize the bubble solutions which are involved in the coarsening dynamics and establish the bifurcation scenarios of the system. A set of ordinary differential equation permits us to describe the coarsening dynamics in very good agreement with numerical simulations. We also compare these dynamics with the bubble dynamics deduced from the classical kink interaction computation where our model seems to be more appropriated. In the case of two bubbles, we deduce analytical expressions for the bubble's position and the bubble's width. Besides, a simple description of the ulterior dynamics is presented.

Original languageEnglish
Article number046210
JournalPhysical Review E
Issue number4
StatePublished - Apr 2005
Externally publishedYes


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