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Island size distribution with hindered aggregation.

Diego Luis González1, Manuel Camargo2, Julián A Sánchez1

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Summary
This summary is machine-generated.

This study investigates hindered aggregation in epitaxial growth, revealing a crossover from diffusion-limited to attachment-limited regimes as aggregation barriers increase. Results align with simulations, showing predictable island size distributions.

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Area of Science:

  • Surface Science
  • Materials Science
  • Statistical Physics

Background:

  • Epitaxial growth involves island formation on surfaces.
  • Monomer attachment kinetics influence island size distribution.
  • Aggregation barriers can alter growth dynamics.

Purpose of the Study:

  • To investigate the impact of hindered aggregation on island formation in 1D epitaxial growth.
  • To analyze the crossover between diffusion-limited and attachment-limited aggregation regimes.
  • To model island size distribution under varying aggregation barriers.

Main Methods:

  • A one-dimensional epitaxial growth model with an aggregation barrier (εa) was developed.
  • A self-consistent approach using nucleation and aggregation capture kernels was employed.
  • Kinetic Monte Carlo simulations were used for validation.

Main Results:

  • A crossover from diffusion-limited to attachment-limited aggregation was observed with increasing εa.
  • Island size distribution (P(s)) was calculated for various εa values.
  • Analytical model results closely matched simulation data.

Conclusions:

  • Hindered aggregation significantly impacts island formation dynamics.
  • Increasing aggregation barriers simplify island size distribution towards a limit.
  • The crossover regime exhibits complex behavior driven by timescale differences.