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First-order phase transition in a nonequilibrium growth process

Giada1, Marsili

  • 1INFM, Trieste-SISSA Unit, Via Beirut 2-4, Trieste I-34014, Italy and International School for Advanced Studies (SISSA/ISAS), Via Beirut 2-4, Trieste I-34014, Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
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We present a continuous model for nonequilibrium surface growth using the Kardar-Parisi-Zhang equation. Simulations reveal a phase diagram with transitions between growing and bound surfaces, validated by mean-field theory.

Area of Science:

  • Surface science
  • Statistical physics
  • Materials science

Background:

  • Nonequilibrium surface growth is crucial for understanding material properties.
  • Existing models often lack detailed descriptions of short-range interactions.

Purpose of the Study:

  • To introduce a simple continuous model for nonequilibrium surface growth.
  • To investigate the phase diagram and transitions governed by short-range interactions.

Main Methods:

  • Utilized the Kardar-Parisi-Zhang equation with a Morse-like potential.
  • Employed mean-field theory for analytical solutions.
  • Conducted numerical simulations in three and two dimensions.

Main Results:

  • Identified a nontrivial phase diagram with first-order and second-order transitions.

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  • Observed a tricritical point where transition order changes.
  • Demonstrated quantitative agreement between simulations and mean-field predictions.
  • Confirmed preservation of phase space features across dimensions.

    • Conclusions:

    • The model successfully captures complex surface growth dynamics.
    • Short-range interactions significantly influence surface morphology and stability.
    • Mean-field theory provides a reliable approximation for this system.