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Published on: January 26, 2016
Controlling the glass transition through active fluctuating interactions
Emir Sezik1, Henry Alston1,2, Thibault Bertrand1
1Imperial College London, Department of Mathematics, South Kensington, London SW7 2AZ, United Kingdom.
Abstract:
Fluctuating pairwise interactions are understood to drive fluidlike states in dense biological systems. These states find a broad range of functionalities, such as directing growth during morphogenesis and forming aggregates with heightened mechanical response. However, a tractable model capturing the role of microscopic fluctuating interactions in these structural transitions is crucially lacking. Here, we study a p-spin model with fluctuating pairwise couplings (of strength D_{a} and persistence time t_{a}) as a schematic model for interaction-mediated fluidization. We find that while stronger fluctuations suppress the glass transition, more persistent fluctuations have the opposite effect. We identify the presence of an emergent fluctuation-dissipation relation at long times. We numerically extract the critical temperature T_{g}(D_{a},t_{a}) from a scaling relation near the transition, illustrating how microscopic fluctuations control the glass transition.
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