A Random first order theory of liquid-glass transition
Xia, Xiaoyu
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https://hdl.handle.net/2142/31238
Description
Title
A Random first order theory of liquid-glass transition
Author(s)
Xia, Xiaoyu
Issue Date
2001
Director of Research (if dissertation) or Advisor (if thesis)
Wolynes, P.G.
Committee Member(s)
Phillips, Philip W.
Weissman, Michael B.
Chiang, Tai-Chang
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
glassy dynamics
liquid-glass transition
fluids
Glass
Arrhenius law
Language
en
Abstract
"It is believed that all classical fluids could form glasses if cooled sufficiently fast so as
to avoid crystallization. Various phenomena including violation of the usual Arrhenius law,
stretched relaxations, deviations from the Stokes-Einstein relation in hydrodynamics, and
aging have been observed in the laboratory. In this thesis, a microscopically motivated theory
of glassy dynamics based on an underlying random first order transition is developed to
explain the magnitude and variation of free energy barriers for glassy relaxation. A variety of
empirical correlations embodied in the concept of liquid ""fragility"" are shown to be quantitatively
explained by such a model. Fragility parameters, the size of heterogeneities, the degree
of stretching of relaxations, and the enhancement of translational diffusion are derived from
theory. The wide variety of kinetic behaviors in liquids of quite disparate chemical nature
reflects quantitative rather than qualitative differences in their energy landscapes as it turns
out.
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