Stability of a Nonequilibrium Interface in a Driven Phase Segregating System
Claude A. Laberge, Sven Sandow
Abstract
We investigate the dynamics of a nonequilibrium interface between coexisting phases in a system described by a Cahn-Hilliard equation with an additional driving term. By means of a matched asymptotic expansion we derive equations for the interface motion. A linear stability analysis of these equations results in a condition for the stability of a flat interface. We find that the stability properties of a flat interface depend on the structure of the driving term in the original equation.
Create a lesson
Related papers
Pulse Shepherding and Multi-Channel Soliton Transmission in Bit-Parallel-Wavelength Optical Fiber Links
Yuri S. Kivshar, Elena A. Ostrovskaya
A Particle Model of Rolling Grain Ripples Under Waves
K. H. Andersen
Two-color multistep cascading and parametric soliton-induced waveguides
Yuri S. Kivshar, Andrey A. Sukhorukov, Solomon M. Saltiel
Pattern formation in inclined layer convection
Karen E. Daniels, Eberhard Bodenschatz
On the Properties of Two Pulses Propagating Simultaneously in Different Dispersion Regimes in a Nonlinear Planar Waveguide
Monika E. Pietrzyk
Formation and Pinch-off of Viscous Droplets in the Absence of Surface Tension: an Exact Result
Mark Mineev-Weinstein, Gary D. Doolen, John E. Pearson et al.