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Multiple Glass Singularities and Isodynamics in a Core-Softened Model for Glass-Forming Systems

, , , , and . Physical Review Letters, (Dec 18, 2014)
DOI: 10.1103/PhysRevLett.113.258302

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 (\$A\_3\$ or \$A\_4\$) singularities. In this work we verify the existence of the two \$A\_4\$ 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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