Abstract

For those glassformers (especially metallic glasses), which structure may be presented as a set of linear topological defects embedded into a media with crystalline local order, we suggest a description of the shear dynamics in terms of kinks motion along the topological defect lines, as it is customary for crystalline materials. Locally, these defects are similar to dislocations and disclinations. For the motion of the kink, we write out the Fokker - Planck equation in a self - consistent potential. The glass transition occurs to be described as a localization of the kink.

Highlights

  • The structure of condensed substance is often being described in terms of local order and topological defects

  • Since the loss of global orientation order is the main content of melting, than the approach considered implies melting being described in terms of statistics of topological defects

  • The kink motion causes shifting of the dislocation in its sliding surface

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Summary

Introduction

The structure of condensed substance is often being described in terms of local order and topological defects. The difference is that in globally disordered state (glass or liquid), the density of the defects is high enough to allow the disorientation of local crystalline axis at distances larger than orientational order correlation length. Since the loss of global orientation order is the main content of melting, than the approach considered implies melting being described in terms of statistics of topological defects.

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