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- Edan Lerner, Gustavo Düring, Matthieu Wyart
- Proceedings of the National Academy of Sciences…
- 2012

While the rheology of non-brownian suspensions in the dilute regime is well understood, their behavior in the dense limit remains mystifying. As the packing fraction of particles increases, particle motion becomes more collective, leading to a growing length scale and scaling properties in the rheology as the material approaches the jamming transition.… (More)

- Gustavo Düring, Christophe Josserand, Sergio Rica
- Physical review letters
- 2006

We study the long-time evolution of waves of a thin elastic plate in the limit of small deformation so that modes of oscillations interact weakly. According to the theory of weak turbulence (successfully applied in the past to plasma, optics, and hydrodynamic waves), this nonlinear wave system evolves at long times with a slow transfer of energy from one… (More)

Rheological properties of dense flows of hard particles are singular as one approaches the jamming threshold where flow ceases both for aerial granular flows dominated by inertia and for over-damped suspensions. Concomitantly, the length scale characterizing velocity correlations appears to diverge at jamming. Here we introduce a theoretical framework that… (More)

- Gustavo Düring, Edan Lerner, Matthieu Wyart
- Physical review. E, Statistical, nonlinear, and…
- 2014

Dense non-Brownian suspension flows of hard particles display mystifying properties: As the jamming threshold is approached, the viscosity diverges, as well as a length scale that can be identified from velocity correlations. To unravel the microscopic mechanism governing dissipation and its connection to the observed correlation length, we develop an… (More)

- Edan Lerner, Eric DeGiuli, Gustavo Düring, Matthieu Wyart
- Soft matter
- 2014

We show numerically that the response of simple amorphous solids (elastic networks and particle packings) to a local force dipole is characterized by a lengthscale lc that diverges as unjamming is approached as lc ∼ (z - 2d)(-1/2), where z ≥ 2d is the mean coordination, and d is the spatial dimension, at odds with previous numerical claims. We also show how… (More)

We show numerically that the one-dimensional quintic complex Ginzburg–Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation. The analytic results are in good agreement with numerical… (More)

- Gustavo Düring, Denis Bartolo, Jorge Kurchan
- Physical review. E, Statistical, nonlinear, and…
- 2009

We discuss the reversible-irreversible transition in low-Reynolds hydrodynamic systems driven by external cycling actuation. We introduce a set of models with no auto-organization, and show that a sharp crossover is obtained between a Lyapunov regime in which any noise source, such as thermal noise, is amplified exponentially, and a diffusive regime where… (More)

- Eric DeGiuli, Adrien Laversanne-Finot, Gustavo Düring, Edan Lerner, Matthieu Wyart
- Soft matter
- 2014

Connectedness and applied stress strongly affect elasticity in solids. In various amorphous materials, mechanical stability can be lost either by reducing connectedness or by increasing pressure. We present an effective medium theory of elasticity that extends previous approaches by incorporating the effect of compression, of amplitude e, allowing one to… (More)

- Gustavo Düring, Claudio Falcón
- Physical review letters
- 2009

We report theoretical and experimental results on 4-wave capillary wave turbulence. A system consisting of two immiscible and incompressible fluids of the same density can be written in a Hamiltonian way for the conjugated pair (eta, Psi). Adding the symmetry z --> -z, the set of capillary waves display a Kolmogorov-Zakharov spectrum k(-4) in wave vector… (More)

- Gustavo Düring, Christophe Josserand, Sergio Rica
- Physical review. E, Statistical, nonlinear, and…
- 2015

The dynamics of random weakly nonlinear waves is studied in the framework of vibrating thin elastic plates. Although it has been previously predicted that no stationary inverse cascade of constant wave action flux could exist in the framework of wave turbulence for elastic plates, we present substantial evidence of the existence of a time-dependent inverse… (More)