2017/10/31 by Harukuni Ikeda, Kunimasa Miyazaki, Hajime Yoshino +2 · 7 citations
Materials Science · Mathematics · Physics and Astronomy · #Arithmetic #Binary number #Condensed matter physics #Glass transition #Liquid Crystal Research Advancements #Material Dynamics and Properties #Materials science #Mathematics #Phase (matter) #Phase diagram #Physics #Polymer #Quantum mechanics #Replica #Spin glass #Statistical physics #Symmetry breaking #Theoretical and Computational Physics #Vitrification #cond-mat.dis-nn #cond-mat.soft
paper · pdf · doi:10.1103/physreve.103.022613
published in Physical review. E 103(2), 022613 (American Physical Society) · 9 pages, 5 figures
openalex publication_date 2021/02/22 · arxiv created 2021/02/23 · arxiv updated 2021/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We extend the replica liquid theory in order to describe the multiple glass transitions of binary mixtures with large size disparities, by taking into account the two-step replica symmetry breaking (2RSB). We determine the glass phase diagram of the mixture of large and small particles in the large-dimension limit where the mean-field theory becomes exact. When the size ratio of particles is beyond a critical value, the theory predicts three distinct glass phases; (i) the one-step replica symmetery breaking (1RSB) double glass where both components vitrify simultaneously, (ii) the 1RSB single glass where only large particles are frozen while small particles remain mobile, and (iii) a glass phase called the 2RSB double glass where both components vitrify simultaneously but with an energy landscape topography distinct from the 1RSB double glass.