# Relaxation in yield stress systems through elastically interacting activated events.

@article{Ferrero2014RelaxationIY, title={Relaxation in yield stress systems through elastically interacting activated events.}, author={Ezequiel Ferrero and Kirsten Martens and Jean-Louis Barrat}, journal={Physical review letters}, year={2014}, volume={113 24}, pages={ 248301 } }

We study consequences of long-range elasticity in thermally assisted dynamics of yield stress materials. Within a two-dimensional mesoscopic model we calculate the mean-square displacement and the dynamical structure factor for tracer particle trajectories. The ballistic regime at short time scales is associated with a compressed exponential decay in the dynamical structure factor, followed by a subdiffusive crossover prior to the onset of diffusion. We relate this crossover to spatiotemporal…

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## References

SHOWING 1-10 OF 51 REFERENCES

### Slow flows of yield stress fluids: Complex spatiotemporal behavior within a simple elastoplastic model.

- EngineeringPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2005

A minimal athermal model for the flow of dense disordered materials is proposed, based on two generic ingredients: local plastic events occuring above a microscopic yield stress, and the nonlocal…

### Elastic consequences of a single plastic event: A step towards the microscopic modeling of the flow of yield stress fluids

- EngineeringThe European physical journal. E, Soft matter
- 2004

The elementary process of a flowing elasto-plastic materials, a plastic event, is focused on, and the long-range perturbation it elastically induces in a medium submitted to a global shear strain is computed.

### Creep of amorphous materials: A mesoscopic model

- Physics
- 2013

We discuss a simple mesoscopic model for creep of disordered materials based on a microscopic (random) threshold and an elastic quadrupolar interaction. A Kinetic Monte Carlo algorithm is implemented…

### Connecting diffusion and dynamical heterogeneities in actively deformed amorphous systems.

- Materials SciencePhysical review letters
- 2011

The mean square displacement of passive tracers gives information about the microscopic rheology, such as the geometry of cooperative regions and their scaling with strain rate and system size.

### Plasticity of a colloidal polycrystal under cyclic shear.

- Materials SciencePhysical review letters
- 2014

Surprisingly, the crossover time between the initial aging regime and the steady state decreases with increasing probed length scale, hinting at a hierarchical organization of the grain boundary dynamics.

### Subdiffusion and intermittent dynamic fluctuations in the aging regime of concentrated hard spheres.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

We study the nonequilibrium aging dynamics in a system of quasihard spheres at large density by means of computer simulations. We find that, after a sudden quench to large density, the relaxation…

### Ultraslow dynamics and stress relaxation in the aging of a soft glassy system.

- Physics, Materials SciencePhysical review letters
- 2001

A simple phenomenological model is developed to account for the observed dynamics of a gel composed of multilamellar vesicles and finds the same aging exponent mu = 0.78 for both techniques, suggesting that they probe similar physical processes, that is the relaxation of applied or internal stresses for rheology or MDLS, respectively.

### Computer simulation study of the phase behavior and structural relaxation in a gel-former modeled by three-body interactions.

- PhysicsThe Journal of chemical physics
- 2011

It is concluded that the compressed exponential relaxation observed in experiments is due to the out-of-equilibrium dynamics.

### Atomic-scale relaxation dynamics and aging in a metallic glass probed by x-ray photon correlation spectroscopy.

- Materials Science, PhysicsPhysical review letters
- 2012

We use x-ray photon correlation spectroscopy to investigate the structural relaxation process in a metallic glass on the atomic length scale. We report evidence for a dynamical crossover between the…

### Universal non-diffusive slow dynamics in aging soft matter.

- PhysicsFaraday discussions
- 2003

It is proposed that the unusual ultraslow dynamics are due to the relaxation of internal stresses, built into the sample at the jamming transition, and simple scaling arguments that support this hypothesis are presented.