Ikeda Harukuni, Miyazaki Kunimasa, Yoshino Hajime, Ikeda Atushi
Graduate School of Arts and Sciences, The University of Tokyo 153-8902, Japan.
Department of Physics, Nagoya University, Nagoya 464-8602, Japan.
Phys Rev E. 2021 Feb;103(2-1):022613. doi: 10.1103/PhysRevE.103.022613.
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.
