Liu-Nagel phase diagrams in infinite dimension

We study Harmonic Soft Spheres as a model of thermal structural glasses in the limit of infinite dimensions. We show that cooling, compressing and shearing a glass lead to a Gardner transition and, hence, to a marginally stable amorphous solid as found for Hard Spheres systems. A general outcome...

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Main Author: Giulio Biroli, Pierfrancesco Urbani
Format: Article
Language:English
Published: SciPost 2018-04-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.4.4.020
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spelling doaj-dfe5224b37e54b889da1043b964f2a2e2020-11-25T00:48:36ZengSciPostSciPost Physics2542-46532018-04-014402010.21468/SciPostPhys.4.4.020Liu-Nagel phase diagrams in infinite dimensionGiulio Biroli, Pierfrancesco UrbaniWe study Harmonic Soft Spheres as a model of thermal structural glasses in the limit of infinite dimensions. We show that cooling, compressing and shearing a glass lead to a Gardner transition and, hence, to a marginally stable amorphous solid as found for Hard Spheres systems. A general outcome of our results is that a reduced stability of the glass favors the appearance of the Gardner transition. Therefore using strong perturbations, e.g. shear and compression, on standard glasses or using weak perturbations on weakly stable glasses, e.g. the ones prepared close to the jamming point, are the generic ways to induce a Gardner transition. The formalism that we discuss allows to study general perturbations, including strain deformations that are important to study soft glassy rheology at the mean field level.https://scipost.org/SciPostPhys.4.4.020
collection DOAJ
language English
format Article
sources DOAJ
author Giulio Biroli, Pierfrancesco Urbani
spellingShingle Giulio Biroli, Pierfrancesco Urbani
Liu-Nagel phase diagrams in infinite dimension
SciPost Physics
author_facet Giulio Biroli, Pierfrancesco Urbani
author_sort Giulio Biroli, Pierfrancesco Urbani
title Liu-Nagel phase diagrams in infinite dimension
title_short Liu-Nagel phase diagrams in infinite dimension
title_full Liu-Nagel phase diagrams in infinite dimension
title_fullStr Liu-Nagel phase diagrams in infinite dimension
title_full_unstemmed Liu-Nagel phase diagrams in infinite dimension
title_sort liu-nagel phase diagrams in infinite dimension
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2018-04-01
description We study Harmonic Soft Spheres as a model of thermal structural glasses in the limit of infinite dimensions. We show that cooling, compressing and shearing a glass lead to a Gardner transition and, hence, to a marginally stable amorphous solid as found for Hard Spheres systems. A general outcome of our results is that a reduced stability of the glass favors the appearance of the Gardner transition. Therefore using strong perturbations, e.g. shear and compression, on standard glasses or using weak perturbations on weakly stable glasses, e.g. the ones prepared close to the jamming point, are the generic ways to induce a Gardner transition. The formalism that we discuss allows to study general perturbations, including strain deformations that are important to study soft glassy rheology at the mean field level.
url https://scipost.org/SciPostPhys.4.4.020
work_keys_str_mv AT giuliobirolipierfrancescourbani liunagelphasediagramsininfinitedimension
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