A comparative study of a class of mean field theories of the glass transition

Saha, Indranil and Nandi, Manoj Kumar and Dasgupta, Chandan and Bhattacharyya, Sarika Maitra (2019) A comparative study of a class of mean field theories of the glass transition. In: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2019 (8).

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Abstract

In a recently developed microscopic mean field theory, we have shown that the dynamics of a system, when described only in terms of its pair structure, can predict the correct dynamical transition temperature. Further, the theory predicted the difference in dynamics of two systems (the Lennard-Jones and the Weeks-Chandler-Andersen) despite them having quite similar structures. This is in contrast to the Schweizer-Saltzman (SS) formalism which predicted the dynamics of these two systems to be similar. The two theories although similar in spirit have certain differences. Here we present a comparative study of these two formalism to find the origin of the difference in their predictive power. We show that not only the dynamics in the potential energy surface, as described by our earlier study, but also that in the free energy surface, like in the SS theory, can predict the correct dynamical transition temperature. Even an approximate one component version of our theory, similar to the system used in the SS theory, can predict the transition temperature reasonably well. Interestingly, we show here that despite the above mentioned shortcomings the SS theory can actually predict the correct transition temperatures. Thus microscopic mean field theories of this class which express dynamics in terms of the pair structure of the liquid while being unable to predict the actual dynamics of the system are successful in predicting the correct dynamical transition temperature.

Item Type:	Journal Article
Publication:	JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Publisher:	IOP PUBLISHING LTD
Additional Information:	copy right of this article belong to IOP PUBLISHING LTD
Keywords:	glasses (colloidal, polymer, etc); slow relaxation; glassy dynamics; aging; mode coupling theory
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	12 Dec 2019 11:43
Last Modified:	12 Dec 2019 11:43
URI:	http://eprints.iisc.ac.in/id/eprint/64075

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