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Phys. Rev. A 35, 3072–3080 (1987)

Connections between some kinetic and equilibrium theories of the glass transition

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T. R. Kirkpatrick
Department of Physics and Astronomy and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742

P. G. Wolynes
Noyes Laboratory, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

Received 26 September 1986; published in the issue dated April 1987

Connections between the static density-functional theory of the glass transition and the dynamic mode-coupling theory of the glass transition are discussed. In three dimensions, some approximate equivalences are established. These equivalences are made more precise by examining high-dimensionality liquids and glasses. The similarities with early static and dynamic mean-field theories of the spin-glass transition are emphasized. Some speculations on the relationship between structural glasses and Potts glasses are also included.

© 1987 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.35.3072
DOI:
10.1103/PhysRevA.35.3072
PACS:
64.70.Pf, 61.40.+b, 64.60.My