Toward a microscopic description of flow near the jamming threshold
By Edan Lerner, G. During, Matthieu Wyart. 2012
40 citations recorded by the source corpus.
We study the relationship between microscopic structure and viscosity in non-Brownian suspensions. We argue that the formation and opening of contacts between particles in flow effectively leads to a negative selection of the contacts carrying weak forces. We show that an analytically tractable model capturing this negative selection correctly reproduces scaling properties of flows near the jamming transition. In particular, we predict that i) the viscosity η diverges with the coordination number z as η ∼ (zc − z)−(3+θ)/(1+θ), ii) the operator which governs flow displays a low-frequency mode that controls the divergence of viscosity, at a frequency ωmin ∼ (zc − z)(3+θ)/(2+2θ), and iii) the distribution of forces displays a scale f* that vanishes near jamming as f*/〈f〉 ∼ (zc − z)1/(1+θ) where θ characterizes the distribution of contact forces P(f) ∼ fθ at jamming, and where zc is the Maxwell threshold for rigidity.
Subfields: Computational Mechanics, Condensed Matter Physics, Materials Chemistry, Evaluation & Benchmarks
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Citations in the corpus
- The jamming transition as a paradigm to understand the loss landscape of deep neural networks (2018, neutral): “It was shown that even if a packing of spherical particles is linearly stable, paths in the phase space that lower the energy are easily found unless both distributions are critical, with P+(∆) ∼ ∆ and P−(∆) ∼ (−∆)−γ , with γ ≥ (1−θ)/2 [42, 57], as numerically confirmed in [58, 59].”
- Modeling semiflexible polymer networks (2014, background): “…stresses (Broed- ersz and MacKintosh, 2011; Sheinman et al., 2012a), viscous interactions by an embedding Newtonian fluid (Andreotti et al., 2012; Lerner et al., 2012a,b, 2013; Tighe, 2011, 2012; Wyart, 2010; Yucht et al., 2013), large external strains (Sheinman et al., 2012b), and even…”