Exposing the static scale of the glass transition by random pinning

2011/05/20 by Smarajit Karmakar, Karmakar, Smarajit, Itamar Procaccia +1 · 1 citation
Materials Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Material Dynamics and Properties #Materials Science (cond-mat.mtrl-sci) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1105.4053

openalex publication_date 2011/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The dramatic slowing down associated with the glass transition cannot be fully understood without an associated static length that is expected to increase rapidly as the temperature is reduced. The search for such a length was long and arduous, without a universally accepted candidate at hand. Recently a natural such length ξ_s was proposed, stemming from a cross-over between plastic and elastic mechanical responses of the material. In this Letter we show that supercooled liquids in which there exists random pinning sites of density ρ_{\rm im}∼ 1/ξ_s^d exhibit complete jamming of all dynamics. This is a direct demonstration that the proposed length scale is indeed \em the static length that was long sought-after.

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