2009/02/11 by Edan Lerner, Itamar Procaccia, Jacques Zylberg · 2 citations
Engineering · Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.102.125701
4 pages, 6 figures
arxiv created 2009/02/11 · openalex publication_date 2009/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the context of a classical example of glass formation in three dimensions, we exemplify how to construct a statistical-mechanical theory of the glass transition. At the heart of the approach is a simple criterion for verifying a proper choice of upscaled quasispecies that allow the construction of a theory with a finite number of ``states.'' Once constructed, the theory identifies a typical scale \ensuremathξ that increases rapidly with lowering the temperature and which determines the \ensuremathα-relaxation time \ensuremathτ_\ensuremathα as \ensuremathτ_\ensuremathα\ensuremath∼exp(\ensuremathμ\ensuremathξ/T), with \ensuremathμ a typical chemical potential. The theory can predict relaxation times at temperatures that are inaccessible to numerical simulations.