2003/06/23 by Yisroel Brumer, David R. Reichman · 87 citations
Materials Science · Mathematics · Physics and Astronomy · #Computer science #Condensed matter physics #Coupling (piping) #Energy landscape #Ergodic theory #Field (mathematics) #Glass properties and applications #Glass transition #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Mean field theory #Mode (computer interface) #Mode coupling #Nuclear magnetic resonance #Physics #Pure mathematics #Quantum mechanics #Relaxation (psychology) #Statistical physics #Supercooling #Theoretical and Computational Physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.69.041202
published in Physical Review E 69(4), 041202 (American Physical Society) · 4 pages and 3 figures
arxiv created 2003/06/23 · openalex publication_date 2004/04/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the relationship between the temperature at which averaged energy landscape properties change sharply (T(o)) and the breakdown of mean-field treatments of the dynamics of supercooled liquids. First, we show that the solution of the wave vector dependent mode-coupling equations undergoes an ergodic-nonergodic transition consistently close to T(o). Generalizing the landscape concept to include hard-sphere systems, we show that the property of inherent structures that changes near T(o) is governed more fundamentally by packing and free volume than potential energy. Lastly, we study the finite-size random orthogonal model (ROM), and show that the onset of noticeable corrections to mean-field behavior occurs at T(o). These results highlight connections between the energy landscape and mode-coupling approach to supercooled liquids, and identify which features of the relaxation of supercooled liquids are properly captured by mode-coupling theory.