Dynamics of the normal to vortex-glass transition: Mean-field theory and fluctuations

1992 ◽  
Vol 45 (1) ◽  
pp. 523-526 ◽  
Author(s):  
Alan T. Dorsey ◽  
Ming Huang ◽  
Matthew P. A. Fisher
Keyword(s):  
Field Theory ◽  
Glass Transition ◽  
Mean Field Theory ◽  
Mean Field ◽  
Vortex Glass

THE EDWARDS MODEL: THE GLASS TRANSITION

1992 ◽  
Vol 06 (10) ◽  
pp. 1587-1594 ◽  
Author(s):  
S.F. EDWARDS
Keyword(s):  
Field Theory ◽  
Glass Transition ◽  
Liquid Crystal ◽  
Transport Coefficients ◽  
Mean Field Theory ◽  
Mean Field ◽  
Essential Singularity ◽  
Liquid Crystal Polymers ◽  
New Class ◽  
Edwards Model

The structure of the transport coefficients in the approach to the glass transition is characterized by an essential singularity in their behaviour as functions of the temperature, variously known as the Vogel-Fulcher or Dolittle or Williams-Landel-Ferry laws. This behaviour can be derived directly in certain simple models notably a glass of liquid crystal polymers where mean field theory may be applied. In this paper a new class of closed expressions for transport coefficients are derived and it is shown that they can be used to derive the Vogel-Fulcher law.

Mean field theory of n-layer unbinding

1993 ◽  
Vol 3 (3) ◽  
pp. 385-393 ◽  
Author(s):  
W. Helfrich
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field
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