Relationship between Entropic Bottleneck in Free Energy Landscape, Nonexponential Relaxation and Fragility of Glass-Forming Liquids

2003/03/09 by Dwaipayan Chakrabarti, Biman Bagchi, Chakrabarti, Dwaipayan +1
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Material Dynamics and Properties #Soft Condensed Matter (cond-mat.soft) #Theoretical and Computational Physics #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.cond-mat/0303153

4 pages, 4 figures

arxiv created 2003/03/09 · openalex publication_date 2003/03/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A mesoscopic model is proposed to explain the anomalous dynamics in a supercooled liquid as its glass transition temperature is approached from above. The model is based on the assumption of β organized α process, with the requirement of coherent excitation of a minimum critical number N_c of β processes in the surroundings of a total N_β. Numerical evaluation of the model shows that the growth in this critical number in the background of a modest N_β can lead to a severe entropic bottleneck and slow down the dynamics to an extent observed near real glass transition. The fragility of the glass-forming liquid is shown to be correlated with the growth of the ratio γ(= N_c/N_β).

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