A Universal and Complete Descriptor of Material Microstructures

GEOMETRY AND MATERIALS SEMINAR
Topic:A Universal and Complete Descriptor of Material Microstructures
Speaker:Salvatore Torquato
Affiliation:Princeton University
Date:Monday, June 7
Time/Room:3:30pm - 4:30pm/S-101

I describe a unified theoretical approach to represent exactly an n-point "canonical" correlation function from which one can obtain and compute any of the various types of correlation functions that determine the bulk properties of many-particle systems that model random media, liquids, glasses and solids, as well as the generalizations of these correlation functions. The key idea is the "r-neighborhood" notion that Bob MacPherson discussed during his recent lecture entitled "Measuring Shape With Homology." The wealth of spatial information contained in this n-point canonical correlation is far from understood. I will discuss some recent applications.