(464b) Domain Shapes and the Mullins-Sekerka Instability
AIChE Annual Meeting
2023
2023 AIChE Annual Meeting
Engineering Sciences and Fundamentals
Biomolecules at Interfaces
Thursday, November 9, 2023 - 12:48pm to 1:06pm
The relative simplicity of two-dimensional lipid monolayer films makes them ideal systems to study the fundamental issues that govern lateral phase separation, the evolution of domain microstructure, and the effects of this microstructure on interfacial dynamics. Here we show that a myriad of domain morphologies that occur during monolayer compression are the result of the classic Mullins-Sekerka growth instability (1) that occurs during crystallization from a multicomponent melt. On compression of dipalmitoylphosphatidylcholine-hexadecanol (DPPC-HD) monolayers with 1-5 mol% cholesterol, originally circular domain develop finger-like growth patterns as the surface pressure is increased. The finger widths and number vary with compression rate and quench depth with semi-quantitative agreement with the predictions of the Mullins-Sekerka theory. The Mullins-Sekerka theory postulates a diffusion front instability that predicts that the finger widths are set by a balance between line tension, crystallization rate, and the local variation in chemical potential between crystal and melt. The fingers are purely kinetically driven and eventually evolve into equilibrium extended stripe domains whose width depend only on surface pressure and temperature. These observations help explain the wide variety of domain shapes observed in lipid monolayers that depend on compression rate and monolayer history.
- S. Langer, Instabilities and pattern-formation in crystal growth. Reviews of Modern Physics. 52, 1-28 (1980).