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Updated: Oct 28, 2025
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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
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The hodograph equation for slow and fast anisotropic interface propagation
P K Galenko1,2, A Salhoumi3
1Friedrich-Schiller-Universität-Jena, Faculty of Physics and Astronomy, Otto Schott Institute of Materials Research, 07743 Jena, Germany.
Summary
This study develops a new Herring-Gibbs-Thomson equation for anisotropic interface motion. The model accurately predicts crystal growth, validating its use for slow and fast interface propagation.
Area of Science:
- Physics
- Materials Science
- Mathematical Modeling
Background:
- Anisotropic interface motion is crucial in materials science.
- Existing models like the Gibbs-Thomson equation have limitations for complex systems.
Purpose of the Study:
- To derive a new equation for anisotropic interface motion.
- To validate the derived equation against experimental and simulation data.
Main Methods:
- Utilized a model of fast phase transitions.
- Developed a Herring-Gibbs-Thomson-type equation.
- Compared model predictions with molecular-dynamics simulations of nickel crystal growth.
Main Results:
- Derived a hodograph equation for anisotropic interface motion.
- The equation encompasses various physical phenomena, including Klein-Gordon and Born-Infeld equations.
- Validated the model against molecular-dynamics data for nickel crystal growth.
Conclusions:
- The derived hodograph equation is valid for both slow and fast interface propagation.
- This model provides a robust framework for understanding anisotropic interface dynamics.
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