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Published on: May 29, 2018
Kinetics of phase separation in thin films: lattice versus continuum models for solid binary mixtures.
Subir K Das1, Jürgen Horbach, Kurt Binder
1Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore 560064, India.
This study models phase separation kinetics in thin solid binary mixtures using a kinetic Ising model. It reveals how wetting layers and lateral separation lead to domain growth following the Lifshitz-Slyozov law.
Area of Science:
- Materials Science
- Physical Chemistry
- Statistical Mechanics
Background:
- Understanding phase separation kinetics is crucial for designing materials with specific properties.
- Thin film geometries present unique challenges due to surface and confinement effects.
Purpose of the Study:
- To describe phase separation kinetics in solid binary mixtures within thin film geometry.
- To investigate the interplay between wetting layer formation and lateral phase separation.
- To provide a model valid across a wide temperature range, including far below the critical point.
Main Methods:
- Utilizing the Kawasaki spin-exchange kinetic Ising model.
- Employing a discrete lattice molecular field formulation.
- Analyzing domain size evolution and its dependence on time and temperature.
Main Results:
- The model successfully describes the interplay of wetting and lateral phase separation.
- Characteristic domain size grows with time according to the Lifshitz-Slyozov t{1/3} law.
- The formulation is accurate even far below the critical point, unlike Ginzburg-Landau models.
Conclusions:
- The presented kinetic Ising model offers a robust framework for studying phase separation in thin films.
- It provides transparent relations between interaction parameters and observable phenomena.
- The model ensures consistency between free energy and time evolution, especially at low temperatures.
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