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Relaxation in yield stress systems through elastically interacting activated events
Ezequiel E Ferrero1, Kirsten Martens1, Jean-Louis Barrat1
1Université Grenoble Alpes, LIPHY, F-38000 Grenoble, France and CNRS, LIPHY, F-38000 Grenoble, France.
Physical Review Letters
|December 27, 2014
Summary
Long-range elasticity in yield stress materials affects tracer particle movement. This study reveals a subdiffusive crossover linked to spatiotemporal correlations, offering insights beyond mean-field theories.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Rheology
Background:
- Yield stress materials exhibit complex dynamics influenced by internal structure and applied stress.
- Understanding tracer particle motion is crucial for characterizing material behavior.
- Long-range elasticity plays a significant role in the mesoscopic dynamics of these materials.
Purpose of the Study:
- To investigate the impact of long-range elasticity on the thermally assisted dynamics of yield stress materials.
- To analyze the mean-square displacement and dynamical structure factor of tracer particles.
- To elucidate the origins of subdiffusive behavior and its relation to spatiotemporal correlations.
Main Methods:
- Development and application of a two-dimensional mesoscopic model.
- Calculation of mean-square displacement for tracer particle trajectories.
- Analysis of the dynamical structure factor to probe particle dynamics.
Main Results:
- Observed a ballistic regime at short timescales.
- Identified a compressed exponential decay in the dynamical structure factor.
- Characterized a subdiffusive crossover preceding the onset of diffusion.
Conclusions:
- The subdiffusive crossover is linked to underlying spatiotemporal correlations.
- Findings extend beyond the predictions of established mean-field theories.
- Long-range elasticity significantly influences the dynamic behavior of yield stress materials.
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