Publication Date
2003
Abstract
We propose a connection between self-similar, focusing dynamics in nonlinear partial differential equations (PDEs) and macroscopic dynamic features of the glass transition. In particular, we explore the divergence of the appropriate relaxation times in the case of hard spheres as the limit of random close packing is approached. We illustrate the analogy in the critical case, and suggest a “normal form” that can capture the onset of dynamic self-similarity in both phenomena.
Recommended Citation
Kevrekidis, PG and al, et., "An exploding glass?" (2003). Mathematics and Statistics Department Faculty Publication Series. 1146.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1146
Comments
This is the pre-published version harvested from arXiv.