Unified percolation scenario for the $α$ and $β$ processes in simple glass formers

Fuente: arXiv
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Auteurs principaux: Gao, Liang, Yu, Hai-Bin, Schrøder, Thomas B., Dyre, Jeppe C.
Format: Preprint
Publié: 2024
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author Gao, Liang
Yu, Hai-Bin
Schrøder, Thomas B.
Dyre, Jeppe C.
author_facet Gao, Liang
Yu, Hai-Bin
Schrøder, Thomas B.
Dyre, Jeppe C.
contents Given the vast differences in interaction details, describing the dynamics of structurally disordered materials in a unified theoretical framework presents a fundamental challenge to condensed-matter physics and materials science. Here, we numerically investigate a double-percolation scenario for the two most important relaxation processes of supercooled liquids and glasses, the so-called alpha and beta relaxations. For several simple glass formers, we find that when monitoring the dynamic shear modulus as temperature is lowered from the liquid state, percolation of immobile particles takes place at the temperature locating the alpha process. Mirroring this, upon continued cooling into the glass state, the mobile-particle percolation transition pinpoints a beta process whenever the latter is well separated from the main (alpha) process. For two-dimensional systems under the same conditions, percolation of mobile and immobile particles occurs nearly simultaneously and no beta relaxation can be identified. Our findings suggest that a general description of glassy dynamics should be based on a percolation perspective.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02922
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Unified percolation scenario for the $α$ and $β$ processes in simple glass formers
Gao, Liang
Yu, Hai-Bin
Schrøder, Thomas B.
Dyre, Jeppe C.
Soft Condensed Matter
Disordered Systems and Neural Networks
Materials Science
Given the vast differences in interaction details, describing the dynamics of structurally disordered materials in a unified theoretical framework presents a fundamental challenge to condensed-matter physics and materials science. Here, we numerically investigate a double-percolation scenario for the two most important relaxation processes of supercooled liquids and glasses, the so-called alpha and beta relaxations. For several simple glass formers, we find that when monitoring the dynamic shear modulus as temperature is lowered from the liquid state, percolation of immobile particles takes place at the temperature locating the alpha process. Mirroring this, upon continued cooling into the glass state, the mobile-particle percolation transition pinpoints a beta process whenever the latter is well separated from the main (alpha) process. For two-dimensional systems under the same conditions, percolation of mobile and immobile particles occurs nearly simultaneously and no beta relaxation can be identified. Our findings suggest that a general description of glassy dynamics should be based on a percolation perspective.
title Unified percolation scenario for the $α$ and $β$ processes in simple glass formers
topic Soft Condensed Matter
Disordered Systems and Neural Networks
Materials Science
url https://arxiv.org/abs/2411.02922