2018/05/31 by Grzegorz Szamel
Chemistry · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Binary number #Chemistry #Condensed matter physics #Factorization #Glass transition #Material Dynamics and Properties #Materials science #Mathematics #Particle size #Phase (matter) #Phase Equilibria and Thermodynamics #Phase diagram #Physical chemistry #Physics #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.98.050601
published as Phys. Rev. E 98, 050601 (2018) · Final version, accepted for publication as a Rapid Communication in Phys. Rev. E
arxiv created 2018/10/20 · openalex publication_date 2018/11/05 · arxiv updated 2018/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We present a theory for the dynamics of binary mixtures with particle size swaps. The general structure of the theory shows that, in accordance with physical intuition, particle size swaps open up an additional channel for the relaxation of density fluctuations. Thus, allowing particle size swaps speeds up the dynamics. To make explicit predictions, we use a factorization approximation similar to that employed in the mode-coupling theory of glassy dynamics. We calculate an approximate dynamic glass transition phase diagram for an equimolar binary hard-sphere mixture. We find that in the presence of particle size swaps, with increasing ratio of the hard-sphere diameters the dynamic glass transition line moves toward higher volume fractions, up to the ratio of the diameters approximately equal to 1.2, and then saturates. We comment on the implications of our findings for the theoretical description of the glass transition.