Relationship between non-exponentiality of relaxation and relaxation time in the problem of glass transition

Trachenko, K. and Roland, M. C. and Casalini, R. (2008) Relationship between non-exponentiality of relaxation and relaxation time in the problem of glass transition. Journal of Physics Condensed Matter, 112 (16). pp. 5111-5115. DOI 10.1021/jp800347w

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Abstract

By analyzing the experimental data for various glass-forming liquids and polymers, we find that the nonexponentiality, β, and the relaxation time, τ, are commonly related: log(τ) is an approximately linear function of 1/β, followed in most cases by a crossover to a higher linear slope. We rationalize this relationship in the recently developed elastic approach to the glass transition. The key to the observed common relationship between β and τ is that the two quantities are governed by the same parameter, the liquid elasticity length, del. The increase of del on lowering temperature increases τ and decreases β, resulting in the observed common relationship between β and τ. In this picture, we also discuss the crossovers of β and τ at low temperature.

Item Type: Article
Uncontrolled Keywords: 08AREP; IA55
Subjects: 03 - Mineral Sciences
Divisions: 03 - Mineral Sciences
Journal or Publication Title: Journal of Physics Condensed Matter
Volume: 112
Page Range: pp. 5111-5115
Identification Number: 10.1021/jp800347w
Depositing User: Sarah Humbert
Date Deposited: 16 Feb 2009 13:04
Last Modified: 23 Jul 2013 10:08
URI: http://eprints.esc.cam.ac.uk/id/eprint/749

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