1D Cahn-Hilliard equation: Ostwald ripening and modulated phase systems
Simon Villain-Guillot (CPMOH)
TL;DR
This paper presents an analytical approach to the 1D Cahn-Hilliard equation, focusing on Ostwald ripening and modulated phase systems, providing insights into phase transition dynamics and stable pattern periods.
Contribution
It introduces an approximate analytical solution to analyze coalescence and period doubling in 1D Cahn-Hilliard systems, advancing understanding of phase transition processes.
Findings
Calculated characteristic time for period doubling
Determined thermodynamically stable period of modulated phases
Analyzed coalescence during phase transition
Abstract
Using an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first order phase transition, we compute the characteristic time for one step of period doubling in Langer's self similar scenario for Ostwald ripening. As an application, we compute the thermodynamically stable period of a 1D modulated phase pattern.
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