An exploding glass ?

Details An exploding glass ? An exploding glass ?

2003-01-03

arxiv.org/abs/cond-mat/0301021v1

Physics

Condensed Matter

8 pages, 2 figures

Scientific paper

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.

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