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Direct Identification of the Glass Transition: Growing Length Scale and the Onset of Plasticiy

, , , , , , and . Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

Understanding the mechanical properties of glasses remains elusive since the glass transition itself is not fully understood, even in well studied examples of glass formers in two dimensions. In this context we demonstrate: (i) a direct evidence for a fast increase of a typical length scale as the glass transition is approached. (ii) an identification of the glass transition with the disappearance of fluid-like regions and (iii) the appearance in the glass state of fluid-like regions when mechanical strain is applied. These fluid-like regions are associated with the onset of plasticity in the amorphous solid. The relaxation time which increases enormously upon the approach to the glass transition is related quantitatively to the increasing length scale. The relaxation mechanisms upon quenching from high temperatures are also studied where the aging occurs via events which are localized in time and space. A statistical mechanics model is worked out where the glass disorder is encoded via the Voronoi tessellation. The theory provides, without free parameters, an explanation of the glass transition phenomenology, including the identification of jamming and and the appearance of a low temperature crystalline phase.

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