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Multiple higher-order singularities and iso-dynamics in a simple glass-former model

2014/07/15 by Nicoletta Gnan, Gnan, Nicoletta, Gayatri Das +7
Physics and Astronomy · #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.1407.3917

supplemental material included

arxiv created 2014/07/15 · arxiv updated 2014/07/16

Abstract

We investigate the slow dynamics of a colloidal model with two repulsive length scales, whose interaction potential is the sum of a hard-core and a square shoulder. Despite the simplicity of the interactions, Mode-Coupling theory predicts a complex dynamic scenario: a fluid-glass line with two reentrances and a glass-glass line ending with multiple higher-order (A3 or A4) singularities. In this work we verify the existence of the two A4 points by numerical simulations, observing subdiffusive behaviour of the mean-square displacement and logarithmic decay of the density correlators. Surprisingly, we also discover a novel dynamic behaviour generated by the competition between the two higher-order singularities. This results in the presence of special loci along which the dynamics is identical at all length and time scales.

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