Continuum limit of dendritic deposition.

Area of Science:

• Physical Chemistry
• Materials Science
• Nonequilibrium Statistical Mechanics

Background:

• Continuum models are widely applied to dendritic deposition, but their underlying approximations, especially for Brownian particles, are not fully understood.
• Existing simulations of the small-particle limit show discrepancies in critical radius scaling compared to continuum theory, questioning model relevance.

Purpose of the Study:

• To clarify the continuum limit of dendritic deposition by reexamining critical radius scaling in Brownian particle systems.
• To validate the accuracy and applicability of continuum models in predicting dendritic morphology.

Main Methods:

• Utilized Brownian dynamics simulations with improved surface reaction paradigms.
• Investigated large system sizes, involving up to hundreds of millions of particles.
• Focused on well-defined physical parameters to ensure simulation convergence.

Main Results:

• The critical radius scaling observed in simulations is consistent with continuum analysis predictions.
• Validated the continuum approach for modeling dendritic deposition phenomena.
• Identified slow convergence to the continuum limit for Brownian particle systems.

Conclusions:

• Continuum models are validated for dendritic deposition, accurately reflecting microscopic physics at the critical radius.
• The continuum approximation remains a potential source of error in complex deposition processes due to slow convergence.
• Findings support the experimental relevance of continuum models while highlighting limitations.