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Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting
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Published on: May 14, 2016

Surface growth on diluted lattices by a restricted solid-on-solid model.

Changhan Lee1, Sang Bub Lee

  • 1Department of Physics, Kyungpook National University, Daegu 702-701, Republic of Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 2, 2009
PubMed
Summary
This summary is machine-generated.

Diluted sites influence surface growth. Equilibrium growth shows universal power-law behaviors, while nonequilibrium growth with many diluted sites becomes nonuniversal, deviating from regular lattice dynamics.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Surface growth models are crucial for understanding thin film deposition and material properties.
  • The impact of lattice defects, such as diluted sites, on growth dynamics is not fully understood.
  • Percolation theory provides a framework for studying systems with quenched disorder.

Purpose of the Study:

  • To investigate the influence of diluted sites on surface growth dynamics using a restricted solid-on-solid model.
  • To analyze the scaling behaviors of surface width and saturated width under varying concentrations of diluted sites.
  • To differentiate between equilibrium and nonequilibrium growth regimes in the presence of disorder.

Main Methods:

  • Utilized the restricted solid-on-solid (RSOS) model for simulations.
  • Varied the concentration of diluted sites (x) and occupation probability (p).
  • Analyzed surface width (W) and saturated width (W(sat)) using power-law relations (W ~ t^beta, W(sat) ~ L^zeta).
  • Investigated growth on backbone clusters and diluted subcells for nonequilibrium dynamics.

Main Results:

  • In equilibrium growth, universal power-law behaviors for surface width and saturated width were observed across all diluted site concentrations.
  • For diluted site concentrations below the percolation threshold (x < x(c)), growth resembled that of a regular lattice in 2D and 3D.
  • At the percolation threshold (x = x(c)), nontrivial growth exponents distinct from regular lattices were found.
  • Nonequilibrium growth exhibited nonuniversal dynamics with significant amounts of diluted sites (x <= x(c)).

Conclusions:

  • Diluted sites introduce significant changes to surface growth, particularly at the percolation threshold.
  • Equilibrium surface growth remains largely universal, but nonequilibrium growth becomes nonuniversal due to disorder.
  • The study highlights the importance of lattice structure and disorder in determining growth dynamics.