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Related Experiment Videos

Role of long jumps in surface diffusion.

O M Braun1, R Ferrando

  • 1Institute of Physics, National Ukrainian Academy of Sciences, 03650 Kiev, Ukraine. obraun@iop.kiev.ua

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 22, 2002
PubMed
Summary

We analyzed atomic diffusion, finding that damping affects jump length and diffusion. Long jumps are crucial for light atoms, especially with low or ineffective phonon damping.

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Area of Science:

  • Surface Science
  • Condensed Matter Physics
  • Computational Materials Science

Background:

  • Activated surface diffusion is critical for thin film growth and catalysis.
  • Understanding atomic jump probabilities beyond nearest neighbors is essential for accurate diffusion models.
  • The influence of damping and inter-dimensional coupling on diffusion dynamics requires detailed investigation.

Purpose of the Study:

  • To investigate the probability of atomic jumps exceeding one lattice spacing in activated surface diffusion.
  • To analyze the role of coupled degrees of freedom in diffusion within a 2D substrate potential.
  • To study the impact of realistic phonon damping on atomic diffusion, particularly for light atoms.

Main Methods:

  • Simulations were performed to study diffusion in a two-dimensional substrate potential.
  • The study analyzed the scaling of average jump length with the damping coefficient in the underdamped limit.
  • A Langevin equation with a velocity-dependent friction coefficient was developed to model phonon damping.

Main Results:

  • In the underdamped limit, average jump length scales with damping coefficient eta as ~ eta^(-sigma(lambda)), with 1/2 <= sigma(lambda) <= 2/3.
  • The diffusion coefficient D scales as D ~ eta^(-sigma), with 0 <= sigma <= 1/3.
  • Long atomic jumps are significant for diffusing light atoms, especially when phonon damping is low (high Debye frequency) or ineffective (low Debye frequency).

Conclusions:

  • Coupling between x and y degrees of freedom influences atomic jump probabilities and diffusion coefficients.
  • Realistic phonon damping models reveal the importance of long jumps for light diffusing species.
  • The findings provide insights into atomic diffusion mechanisms relevant to material science and nanotechnology.

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