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Locally frozen defects in random sequential adsorption with diffusional relaxation

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  • Wang, Jian-Sheng
  • Nielaba, Peter
  • Privman, Vladimir

Abstract

Random sequential adsorption with diffusional relaxation, of two by two square objects on the two-dimensional square lattice, is studied by Monte Carlo computer simulation. Asymptotically for large lattice sizes, diffusional relaxation allows the deposition process to reach full coverage. The coverage approaches the full occupation value, 1, as a power-law with convergence exponent near 12. For a periodic lattice of finite (even) size L, the final state is a frozen random rectangular grid of domain walls connecting single-site defects. The domain sizes saturate at ∼L0.8. Prior to saturation, i.e., asymptotically for infinite lattice, the domain growth is power-law with growth exponent near, or possibly somewhat smaller than, 12.

Suggested Citation

  • Wang, Jian-Sheng & Nielaba, Peter & Privman, Vladimir, 1993. "Locally frozen defects in random sequential adsorption with diffusional relaxation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 527-538.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:3:p:527-538
    DOI: 10.1016/0378-4371(93)90066-D
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    References listed on IDEAS

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    1. Nielaba, P. & Heermann, Dieter W., 1991. "Dynamical block analysis in a non-equilibrium system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 170(3), pages 471-487.
    2. Schick, GJ & Stroup, JW, 1981. "Experience with a multi-year fleet planning model," Omega, Elsevier, vol. 9(4), pages 389-396.
    3. Privman, Vladimir, 1991. "Finite-size scaling: new results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 241-246.
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