Jove
Visualize
Contact Us

Related Experiment Videos

Phase field models for step flow.

O Pierre-Louis1

  • 1LSP-Grephe, CNRS/UJF, Grenoble 1, Boîte Postale 87, F-38042 Saint Martin d'Hères Cedex, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Interface collisions.

Physical review. E·2018
Same author

Trends in colorectal cancer in the Caribbean: A population-based study in Martinique, 1982-2011.

Revue d'epidemiologie et de sante publique·2017
Same author

Controlling the wetting transitions of nanoparticles on nanopatterned substrates using an electric current.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Wetting of elastic solids on nanopillars.

Physical review letters·2014
Same author

Anisotropy and coarsening in the instability of solid dewetting fronts.

Physical review letters·2011
Same author

Pattern-induced thermal unbinding of filaments.

Physical review. E, Statistical, nonlinear, and soft matter physics·2011
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Phase field and discontinuous models for crystal growth are compared. The study clarifies kinetic boundary conditions and shows phase field models can recover discontinuous models with accurate step kinetics.

Area of Science:

  • Materials Science
  • Surface Science
  • Computational Physics

Background:

  • Crystal growth simulations often use phase field or discontinuous models.
  • Understanding the relationship between these models is crucial for accurate simulations.
  • Kinetic boundary conditions govern the dynamics of crystal step edges.

Purpose of the Study:

  • To analyze the relationship between phase field and discontinuous models for crystal steps.
  • To clarify the role of interface definition and step motion in kinetic boundary conditions.
  • To identify the thermodynamically consistent reference state for kinetic boundary conditions.

Main Methods:

  • Analysis of kinetic boundary conditions in discontinuous models.
  • Asymptotic expansion of phase field models for small interface widths.

Related Experiment Videos

  • Numerical and analytical solutions for quantitative comparison.

    • Main Results:

    • Step transparency can be viewed as a modification of equilibrium concentration due to step motion.
    • Interface definition impacts kinetic coefficients only for fast attachment kinetics.
    • Two types of phase field models were shown to recover discontinuous models with specific step kinetics.

    Conclusions:

    • Phase field models provide a rigorous framework to derive discontinuous models.
    • The choice of phase field model formulation dictates the recovered step kinetics.
    • Quantitative agreement validates the connection between phase field and discontinuous models.