Kinetic Monte Carlo simulation of the classical nucleation process

Area of Science:

• Computational physics
• Materials science
• Chemical engineering

Background:

• Nucleation is a critical process in phase transitions.
• Classical Nucleation Theory (CNT) provides a theoretical framework for understanding nucleation.
• Simulating nucleation dynamics is computationally challenging.

Purpose of the Study:

• To implement and validate a kinetic Monte Carlo (kMC) simulation for nucleation.
• To compare kMC simulation results with Classical Nucleation Theory (CNT) predictions.
• To establish a computational method for simulating nucleation processes.

Main Methods:

• Kinetic Monte Carlo (kMC) computer simulation.
• Coarse-grained modeling within the CNT framework.
• Analysis of stochastic nucleation processes.

Main Results:

• The kMC simulation accurately reproduced nucleation rates predicted by CNT.
• Simulations showed agreement with stationary solutions of differential equations for nuclei population.
• Time-dependent nucleation behavior was successfully simulated.

Conclusions:

• The kMC method provides a reliable and efficient approach for simulating nucleation.
• This method is applicable to systems where nucleus free-energy is a smooth function of size.
• The simulation approach can be extended for more complex nucleation scenarios.