Interplay between percolation and glassiness in the random Lorentz gas.

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2021-03

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Biroli, Giulio
Charbonneau, Patrick
Corwin, Eric I
Hu, Yi
Ikeda, Harukuni
Szamel, Grzegorz
Zamponi, Francesco

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Abstract

The random Lorentz gas (RLG) is a minimal model of transport in heterogeneous media that exhibits a continuous localization transition controlled by void space percolation. The RLG also provides a toy model of particle caging, which is known to be relevant for describing the discontinuous dynamical transition of glasses. In order to clarify the interplay between the seemingly incompatible percolation and caging descriptions of the RLG, we consider its exact mean-field solution in the infinite-dimensional dā†’āˆž limit and perform numerics in d=2...20. We find that for sufficiently high d the mean-field caging transition precedes and prevents the percolation transition, which only happens on timescales diverging with d. We further show that activated processes related to rare cage escapes destroy the glass transition in finite dimensions, leading to a rich interplay between glassiness and percolation physics. This advance suggests that the RLG can be used as a toy model to develop a first-principle description of particle hopping in structural glasses.

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10.1103/physreve.103.l030104

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Biroli, Giulio, Patrick Charbonneau, Eric I Corwin, Yi Hu, Harukuni Ikeda, Grzegorz Szamel and Francesco Zamponi (2021). Interplay between percolation and glassiness in the random Lorentz gas. Physical review. E, 103(3). p. L030104. 10.1103/physreve.103.l030104 Retrieved from https://hdl.handle.net/10161/24985.

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Scholars@Duke

Charbonneau

Patrick Charbonneau

Professor of Chemistry

Professor Charbonneau studies soft matter. His work combines theory and simulation to understand the glass problem, protein crystallization, microphase formation, and colloidal assembly in external fields.


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