Related Experiment Video
Updated: Aug 23, 2026

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling
Published on: August 5, 2016
Boundary conditions and defect lines in the Abelian sandpile model
1Department of Physics, Southern Illinois University Edwardsville, Edwardsville, Illinois 62025, USA. mjeng@siue.edu
Abstract:
We add a defect line of dissipation, or crack, to the Abelian sandpile model. We find that the defect line renormalizes to separate the two-dimensional plane into two half planes with open boundary conditions. We also show that varying the amount of dissipation at a boundary of the Abelian sandpile model does not affect the universality class of the boundary condition. We demonstrate that a universal coefficient associated with height probabilities near the defect can be used to classify boundary conditions.
More Related Videos
11:14Comprehensive Characterization of Extended Defects in Semiconductor Materials by a Scanning Electron Microscope
Published on: May 28, 2016
06:57Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
Published on: July 17, 2020
Related Concept Videos
Imperfections in Crystal Structure: Point, Line and Plane Defects
Imperfections in Crystal Structure: Stoichiometric Point Defects
Magnetostatic Boundary Conditions
Electrostatic Boundary Conditions in Dielectrics
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
Electrostatic Boundary Conditions
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
Imperfections in Crystal Structure: Non-Stoichiometric Defects