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Updated: May 29, 2026
08:01
The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Diffusive domain coarsening: early time dynamics and finite-size effects
1Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur P.O., Bangalore 560064, India.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2011
Summary
This study investigates phase separation in binary mixtures using Monte Carlo simulations. Results show minimal system size effects and minor corrections to the growth law, offering insights into diffusive dynamics.
Area of Science:
- Statistical Physics
- Materials Science
- Computational Physics
Background:
- Phase separation is a critical phenomenon in binary mixtures, influencing material properties.
- Understanding the kinetics of phase separation is crucial for various applications, including fluid dynamics and materials processing.
- Previous studies often face challenges in isolating intrinsic dynamics from finite-size effects in simulations.
Purpose of the Study:
- To investigate the diffusive dynamics of phase separation in a symmetric binary mixture (50:50 A+B).
- To quantify the effects of system size and corrections to the growth law in 2D and 3D.
- To provide a robust methodology for analyzing simulation data in phase separation studies.
Main Methods:
- Kawasaki exchange Monte Carlo simulations of the Ising model were employed.
- Finite-size scaling analysis was applied to simulation results.
- The study was conducted in both two (d=2) and three (d=3) spatial dimensions.
Main Results:
- Observed weak dependence on system size for the diffusive dynamics.
- Identified very small corrections to the standard growth law.
- Demonstrated the effectiveness of finite-size scaling in analyzing phase separation kinetics.
Conclusions:
- The kinetics of phase separation in this binary mixture are largely independent of system size.
- The growth law exhibits minimal deviations, suggesting a well-behaved diffusive regime.
- The employed simulation and analysis methods are valuable for studying systems with growing length scales and avoiding misinterpretations.
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