Capture-zone scaling in island nucleation: universal fluctuation behavior.

Comment on "Capture-zone scaling in island nucleation: universal fluctuation behavior".

Island sizes and capture zone areas in submonolayer deposition: Scaling and factorization of the joint probability distribution

The joint probability distribution ( JPD) for island sizes, s, and capture zone areas, A, provides extensive information on the distribution of islands formed during submonolayer deposition. For irreversible island formation via homogeneous nucleation, this JPD is shown to display scaling of the type F(s/sav,A/Aav), where “av” denotes average values. The form of F reflects both a broad monomoda...

Nucleation, adatom capture, and island size distributions: Unified scaling analysis for submonolayer deposition

We consider the irreversible nucleation and growth of two-dimensional islands during submonolayer deposition in the regime of large island sizes. A quasihydrodynamic analysis of rate equations for island densities yields an ordinary differential equation (ODE) for the scaling function describing the island size distribution. This ODE involves the scaling function for the dependence on island si...

The dynamics of island nucleation and growth —beyond mean-field theory

– Fully deterministic calculations of the dynamics of island nucleation and growth during thin-film deposition are presented, using a capture zone model that transcends the classical mean-field approximation. Nucleation rates for various critical island sizes i = 0, 1, 2 are accurately calculated from the time-dependent monomer density within the capture zones. The deterministic evolution of th...

Island-size distribution and capture numbers in three-dimensional nucleation: Comparison with mean-field behavior

The scaling of the monomer and island densities, island-size distribution sISDd, capture-number distribution sCNDd, and capture-zone distribution is studied as a function of the fraction of occupied sites scoveraged and ratio D /F of the monomer hopping rate D to the sper sited monomer creation rate F in a three-dimensional s3Dd point-island model of irreversible nucleation and island growth. O...