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Critical dynamics of dimers: Implications for the glass transition

DSpace at IIT Bombay

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Title Critical dynamics of dimers: Implications for the glass transition
 
Creator DAS, D
FARRELL, G
KONDEV, J
CHAKRABORTY, B
 
Subject triangular ising antiferromagnet
spatially heterogeneous dynamics
forming liquids
model glass
relaxation
diffusion
field
 
Description The Adam-Gibbs view of the glass transition relates the relaxation time to the configurational entropy, which goes continuously to zero at the so-called Kauzmann temperature. We examine this scenario in the context of a dimer model with an entropy-vanishing phase transition and stochastic loop dynamics. We propose a coarse-grained master equation for the order parameter dynamics which is used to compute the time-dependent autocorrelation function and the associated relaxation time. Using a combination of exact results, scaling arguments, and numerical diagonalizations of the master equation, we find nonexponential relaxation and a Vogel-Fulcher divergence of the relaxation time in the vicinity of the phase transition. Since in the dimer model the entropy stays finite all the way to the phase transition point and then jumps discontinuously to zero, we demonstrate a clear departure from the Adam-Gibbs scenario. Dimer coverings are the "inherent structures" of the canonical frustrated system, the triangular Ising antiferromagnet. Therefore, our results provide a new scenario for the glass transition in supercooled liquids in terms of inherent structure dynamics.
 
Publisher AMER CHEMICAL SOC
 
Date 2011-07-13T21:44:16Z
2011-12-26T12:48:09Z
2011-12-27T05:45:28Z
2011-07-13T21:44:16Z
2011-12-26T12:48:09Z
2011-12-27T05:45:28Z
2005
 
Type Article
 
Identifier JOURNAL OF PHYSICAL CHEMISTRY B, 109(45), 21413-21418
1520-6106
http://dx.doi.org/10.1021/jp051636l
http://dspace.library.iitb.ac.in/xmlui/handle/10054/3779
http://hdl.handle.net/10054/3779
 
Language en