Abstract

Recent computational investigations of polymeric and non-polymeric binary mixtures havereported anomalous relaxation features when both components exhibit very differentmobilities. Anomalous relaxation is characterized by sublinear power-law behaviour formean-squared displacements, logarithmic decay in dynamic correlators, and astriking concave-to-convex crossover in the latter by tuning the relevant controlparameter, in analogy with predictions of the mode-coupling theory for statepoints close to higher-order transitions. We present Monte Carlo simulations on acoarse-grained model for relaxation in binary mixtures. The liquid structure is substitutedby a three-dimensional array of cells. A spin variable is assigned to each cell,representing unexcited and excited local states of a mobility field. Changes in localmobility (spin flip) are permitted according to kinetic constraints determined by themobilities of the neighbouring cells. We introduce two types of cell (‘fast’ and ‘slow’)with very different rates for spin flip. This coarse-grained model qualitativelyreproduces the mentioned anomalous relaxation features observed for real binarymixtures.

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