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Related Experiment Videos

Surface growth models with a random-walk-like nonlocality.

S Y Yoon1, Yup Kim

  • 1Department of Physics and Research Institute of Basic Sciences, Kyung Hee University, Seoul 130-701, Korea. ykim@khu.ac.kr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
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This study introduces a stochastic growth model to explore nonlocality effects on surface growth dynamics. Results show that increasing nonlocality parameter kappa transitions scaling behavior from normal to diffusion-limited erosion, eventually suppressing roughening.

Area of Science:

  • Statistical Physics
  • Surface Growth Models
  • Nonlocality

Background:

  • Surface growth phenomena are crucial in various scientific fields.
  • Understanding the impact of nonlocality on dynamical scaling is essential.

Purpose of the Study:

  • To investigate the effects of random-walk-like nonlocality on surface growth dynamics.
  • To analyze how varying nonlocality influences scaling properties.

Main Methods:

  • Introduced a stochastic growth model with nonlocal interactions.
  • Studied the model using simulations on a one-dimensional substrate.
  • Analyzed the probability distribution of column pair selection based on height differences.

Main Results:

Related Experiment Videos

  • For small nonlocality (kappa), normal scaling behavior was observed.
  • For moderate nonlocality, scaling with dynamic exponent z=1 (similar to diffusion-limited erosion) emerged.
  • For large nonlocality, surface roughening was suppressed.
  • Conclusions:

    • Nonlocality significantly alters the dynamical scaling properties of surface growth.
    • The model exhibits distinct scaling regimes based on the nonlocality parameter.
    • This research provides insights into nonlocal effects in growth processes.