Scholarlink

<p>Despite their important role in industrial applications and everyday life, and decades of research, disordered solids still lack a full theoretical understanding. In this perspective, we propose that the Euclidean random matrix model can serve as a paradigm for a low-temperature glass. It combines disorder, viz. random particle positions, with the harmonic approximation of the potential energy valid for any stable solid as temperature vanishes. It brings random-matrix concepts to bear on a fundamental understanding of the vibrational anomalies of glasses. We discuss recent studies that demonstrated non-affine displacements renormalizing the Born elastic constants, damping of sound waves via correlated scattering processes from the intrinsic disorder, excess low-frequency modes linked to the widely-observed boson peak, and elastic instabilities.</p><p></p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On the Euclidean random matrix model of vibrations in glass

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年7月4日

查看全文
  • Florian Vogel,
  • Philipp Baumgärtel,
  • Grzegorz Szamel,
  • Matthias Fuchs

摘要

Despite their important role in industrial applications and everyday life, and decades of research, disordered solids still lack a full theoretical understanding. In this perspective, we propose that the Euclidean random matrix model can serve as a paradigm for a low-temperature glass. It combines disorder, viz. random particle positions, with the harmonic approximation of the potential energy valid for any stable solid as temperature vanishes. It brings random-matrix concepts to bear on a fundamental understanding of the vibrational anomalies of glasses. We discuss recent studies that demonstrated non-affine displacements renormalizing the Born elastic constants, damping of sound waves via correlated scattering processes from the intrinsic disorder, excess low-frequency modes linked to the widely-observed boson peak, and elastic instabilities.