Comparison of the Tokuyama–Mori type projection-operator method to that of Mori type near the glass transition

Michio Tokuyama

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 8, 1926-1936

Abstract: Two types of projection-operator methods, Mori type and Tokuyama–Mori type, are tested for studying the slow dynamics of a single particle in complex systems near the glass transition. From a unified point of view based on the mean-field theory recently proposed by the present author, the molecular- and Brownian-dynamics simulations and the corresponding solutions of the mode-coupling theory developed by employing Mori-type formalism are compared consistently. Disagreement is found for the mean-square displacements in β stage. Thus, validity of both types is fully investigated near the glass transition from a new standpoint.

Keywords: Glass transition; Intermediate scattering function; Mean-square displacement; Molecular systems; Projection-operator method; Supercooled liquids; Suspensions of colloids (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:8:p:1926-1936

DOI: 10.1016/j.physa.2007.11.041

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