#58: An analytical method for computing the pair correlation functions of dislocation loops — Presentation Detail — Celebration of Scholars

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#58: An analytical method for computing the pair correlation functions of dislocation loops

Name: Andrew Valentini
Major: Physics & Math
Hometown: Forest Lake, MN
Faculty Sponsor: Joseph Anderson
Other Sponsors:
Type of research: Independent research

Abstract

Dislocations are a type of defect or irregularity in the structure of a material that is otherwise ordered and crystalline. These dislocations either extend across the entirety of a material or self-terminate, forming a loop. Dislocation loops are an important subject of research in solid state physics as well as in materials science because they are the fundamental carriers of deformation in metals. Modeling the distribution of these dislocation loops is crucial to understanding material properties, such as predicting the plastic response of metals. Previous research has developed pair correlation functions for dislocation loops, which describe the relative arrangement of pairs of dislocation lines, using a stochastic geometric approach. In this work, we summarize this geometric approach and propose an alternative method based on Fourier analysis for computing these dislocation loop correlations. We discuss the benefits of this proposed method and consider applications to other linear objects such as cosmological defects.

Poster file