Pattern formation in three-state systems: Towards understanding morphology formation in the presence of evaporation
arxiv(2024)
Abstract
Inspired by experimental evidence collected when processing thin films from
ternary solutions made of two solutes, typically polymers, and one solvent, we
computationally study the morphology formation of domains obtained in
three-state systems using both a lattice model and a continuum counterpart. The
lattice-based approach relies on the Blume-Capel nearest neighbor model with
bulk conservative Kawasaki dynamics, whereas as continuum system we consider a
coupled system of evolution equations that is derived as hydrodynamic limit
when replacing the nearest neighbor interaction in the lattice case by a
suitable Kac potential. We explore how the obtained morphology depends on the
solvent content in the mixture. In particular, we study how these scenarios
change when the solvent is allowed to evaporate.
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