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A localization transition underlies the mode-coupling crossover of glasses

by Daniele Coslovich, Andrea Ninarello, Ludovic Berthier

Submission summary

As Contributors: Daniele Coslovich
Arxiv Link: https://arxiv.org/abs/1811.03171v2
Date submitted: 2019-05-10
Submitted by: Coslovich, Daniele
Submitted to: SciPost Physics
Domain(s): Computational
Subject area: Statistical and Soft Matter Physics

Abstract

We study the equilibrium statistical properties of the potential energy landscape of several glass models in a temperature regime so far inaccessible to computer simulations. We show that unstable modes of the stationary points undergo a localization transition in real space close to the mode-coupling crossover temperature determined from the dynamics. The concentration of localized unstable modes found at low temperature is a non-universal, finite dimensional feature not captured by mean-field glass theory. Our analysis reconciles previous conflicting numerical results and provides a characteristic temperature for glassy dynamics that unambiguously locates the mode-coupling crossover.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1811.03171v2 on 10 May 2019

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