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    Unified picture of structural relaxation, beta relaxation, and excess wing in glass formers

    Chun-Shing Lee1, Hai-Yao Deng2, Linghan Zhang3, Chu Xiao1, Bo Li1,*, Cho-Tung Yip1,†, and Chi-Hang Lam3,‡

    • *Contact author: libo2021@hit.edu.cn
    • †Contact author: h0260416@hit.edu.cn
    • ‡Contact author: c.h.lam@polyu.edu.hk

    Phys. Rev. E 112, 045422 – Published 23 October, 2025

    DOI: https://doi.org/10.1103/kx3x-c8n1

    Abstract

    We study the microscopic origins of relaxation modes revealed by spectroscopic studies of glasses. Major features in calorimetric and structural relaxation spectra, including α peaks, β peaks, and excess wings, are reproduced using a distinguishable-particle lattice model. It is based on void-induced particle hops, which model stringlike particle hopping motions. Excess wings are found to be flattened variants of β peaks when particle hopping barriers admit a wide distribution. A β relaxation event is attributed to the hop of a particle which neighbors a void. An α relaxation event involves a similar process by an arbitrary particle but also includes, as a prior step, the arrival of a diffusing void to become its neighbor.

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