Quantitative analysis of phase formation and growth in ternary mixtures upon evaporation of one component

Abstract

We perform a quantitative analysis of Monte Carlo simulations results of phase separation in ternary blends upon evaporation of one component. Specifically, we calculate the average domain size and plot it as a function of simulation time to compute the exponent of the obtained power-law. We compare and discuss results obtained by two different methods, for three different models: 2D binary-state model (Ising model), 2D ternary-state model with and without evaporation. For the ternary-state models, we study additionally the dependence of the domain growth on concentration, temperature and initial composition. We reproduce the expected 1/3 exponent for the Ising model, while for the ternary-state model without evaporation and for the one with evaporation we obtain lower values of the exponent. It turns out that phase separation patterns that can form in this type of systems are complex. The obtained quantitative results give valuable insights towards devising computable theoretical estimations of size effects on morphologies as they occur in the context of organic solar cells.

arXiv comment9 pages

References in corpus (12)

• Theory of Phase Ordering Kinetics
• Metastability and Nucleation for the Blume-Capel Model. Different mechanisms of transition
• Relaxation Height in Energy Landscapes: an Application to Multiple Metastable States
• A phase-field model for the evaporation of thin film mixtures
• Metastability of the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field
• Sum of exit times in a series of two metastable states
• Non-equilibrium 2D Ising model with stationary uphill diffusion
• Efficient Generation of Model Bulk Heterojunction Morphologies for Organic Photovoltaic Device Modeling
• A lattice model approach to the morphology formation from ternary mixtures during the evaporation of one component
• Phase separation of the Potts model in que square lattice
• Anisotropic dynamical scaling in a spin model with competing interactions
• A Mesoscopic Lattice Model for Morphology Formation in Ternary Mixtures with Evaporation

Cited by in corpus (1)

• A Continuum Model for Morphology Formation from Interacting Ternary Mixtures: Simulation Study of the Formation and Growth of Patterns