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Bulk dynamics for interfacial growth models

Lopez1, Garrido, de Los Santos F

  • 1Instituto Mediterraneo de Estudios Avanzados, CSIC-Universitat de les Illes Balears, E-07071 Palma de Mallorca, Spain.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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We explore how particle cluster growth dynamics affect interface properties. Our study derives a general bulk growth model and its corresponding Langevin equation, leading to the Kardar-Parisi-Zhang equation for interface dynamics.

Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Understanding particle cluster growth is crucial for materials science.
  • Interface dynamics significantly influence macroscopic properties.
  • Existing models often simplify bulk dynamics.

Purpose of the Study:

  • To investigate the impact of bulk growth dynamics on particle cluster interface properties.
  • To develop a general continuum model for bulk growth.
  • To derive the interface's Langevin equation from bulk dynamics.

Main Methods:

  • Formulated a continuum Master equation for bulk density field evolution.
  • Derived the Langevin equation for the bulk density field.
  • Obtained the Langevin equation for the interface height field.

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Main Results:

  • Established a general bulk growth model with arbitrary particle addition.
  • Explicitly showed the influence of bulk dynamics on the interface.
  • Derived the Kardar-Parisi-Zhang equation for specific bulk dynamics.
  • Validated theoretical findings with Monte Carlo simulations.

Conclusions:

  • Bulk dynamics fundamentally influence particle cluster interface properties.
  • The derived framework provides a pathway to understanding complex growth phenomena.
  • The Kardar-Parisi-Zhang equation emerges as a key descriptor for certain growth conditions.