A path integral approach for the colloidal glass transition based on an analogy with the $λ$-transition in liquid helium

V. Prasad

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arXiv · 1712.05827

A path integral approach for the colloidal glass transition based on an analogy with the $λ$-transition in liquid helium

V. Prasad

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Abstract

We describe a model for the colloidal glass transition that is based on Feynman's theory for the $λ$-transition in liquid helium. Our model essentially counts the number of configurations of dynamic loops, strings or clusters of different sizes, and determines the glass transition volume fraction $ϕ_{g}$ from the distribution of these heterogeneities. Since confinement restricts the available number of configurations for these loops, strings and clusters, its effect on $ϕ_{g}$ can also be calculated in a relatively straightforward manner.

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V. Prasad. 2017-12-15. A path integral approach for the colloidal glass transition based on an analogy with the $λ$-transition in liquid helium. https://arxiv.org/abs/1712.05827

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