Jove
Visualize
Contact Us
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

Related Experiment Videos

Statistical physics of grain-boundary engineering.

E S McGarrity1, P M Duxbury, E A Holm

  • 1Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48823, USA. mcgarrit@pa.msu.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 24, 2005
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

Exact Solution to an Interacting Extreme-Value Problem: The Pure-Flaw Model.

Journal of research of the National Institute of Standards and Technology·2023
Same author

Longitudinal crossover and the dynamics of uniform electron ellipsoids focused by a linear chirp.

Physical review. E·2021
Same author

Active control of bright electron beams with RF optics for femtosecond microscopy.

Structural dynamics (Melville, N.Y.)·2017
Same author

The length of postgraduate training for geriatric medicine in European countries: an update for the year 2015.

Aging clinical and experimental research·2015
Same author

Algorithm for systematic peak extraction from atomic pair distribution functions.

Acta crystallographica. Section A, Foundations and advances·2015
Same author

Ab-initio reconstruction of complex Euclidean networks in two dimensions.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014

Grain-boundary engineering (GBE) uses percolation theory to analyze polycrystalline materials. Unlike 2D, 3D GBE shows distinct percolation thresholds for strong and weak boundaries, impacting material properties.

Area of Science:

  • Materials Science
  • Statistical Physics
  • Condensed Matter Physics

Background:

  • Percolation theory is crucial for analyzing polycrystalline materials.
  • Grain boundaries are classified as 'good' (favorable) or 'bad' (degrading).
  • Grain-boundary engineering (GBE) aims to enhance material properties by controlling these boundaries.

Purpose of the Study:

  • Investigate percolation thresholds in 2D and 3D GBE materials.
  • Develop a theory for critical manifolds in GBE.
  • Analyze the critical length L(c) and its implications.

Main Methods:

  • Analysis of realistic polycrystalline microstructures.
  • Application of percolation theory and critical manifold theory.
  • Mathematical modeling of material properties.

Related Experiment Videos

Main Results:

  • In 2D, strong aggregate and weak boundary percolation thresholds are equivalent (0.38).
  • In 3D, thresholds differ: c(SAP)=0.12 and c(WBP)=0.77.
  • Critical manifold theory reveals three distinct regimes based on concentration.

Conclusions:

  • GBE percolation and critical manifold behavior differ significantly between 2D and 3D.
  • 2D models may be misleading for understanding bulk GBE materials.
  • Critical length L(c) behavior varies with dimension, impacting material properties.