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Orientational glass in mixtures of elliptic and circular particles: Structural heterogeneities, rotational dynamics, and rheology

Using molecular dynamics simulation with an angle-dependent Lennard-Jones potential, we study orientational glass with quadrupolar symmetry in mixtures of elliptic particles and circular impurities in two dimensions. With a mild aspect ratio ($=1.2$) and a mild size ratio ($=1.2$), we realize a plastic crystal at relatively high temperature $T$. With further lowering $T$, we find a structural phase transition for very small impurity concentration $c$ and pinned disordered orientations for not small $c$. The ellipses are anchored by the impurities in the planar alignment. With increasing $c$, the orientation domains composed of isosceles triangles gradually become smaller, resulting in orientational glass with crystal order. In our simulation, the impurity distribution becomes heterogeneous during quenching from liquid, which then produces rotational dynamic heterogeneities. We also examine rheology in orientational glass to predict a shape memory effect and a superelasticity effect, where a large fraction of the strain is due to collective orientation changes.