An exploding glass?

P. G. Kevrekidis; S. K. Kumar; I. G. Kevrekidis

doi:10.1016/j.physleta.2003.07.029

An exploding glass?

P. G. Kevrekidis, S. K. Kumar, I. G. Kevrekidis

Chemical & Biological Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We draw analogies 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 description that can capture the onset of dynamic self-similarity in both phenomena.

Original language	English (US)
Pages (from-to)	364-372
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	318
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physleta.2003.07.029
State	Published - Nov 17 2003

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1016/j.physleta.2003.07.029

Cite this

@article{9dc3d1f054e04e8ea5e028af368ac2e5,

title = "An exploding glass?",

abstract = "We draw analogies 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 description that can capture the onset of dynamic self-similarity in both phenomena.",

author = "Kevrekidis, {P. G.} and Kumar, {S. K.} and Kevrekidis, {I. G.}",

note = "Funding Information: This work was partially supported by AFOSR and NSF/ITR (I.G.K.), as well as NSF (DMS-0204585), the Clay Mathematics Institute and the University of Massachusetts (P.G.K.) and NSF (DMR-9972528) (S.K.K.). We are grateful to P. Chaikin, W.B. Russel, J. Machta and especially P.G. Debenedetti for discussions.",

year = "2003",

month = nov,

day = "17",

doi = "10.1016/j.physleta.2003.07.029",

language = "English (US)",

volume = "318",

pages = "364--372",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",