# Geometrically protected reversibility in hydrodynamic Loschmidt-echo experiments.

@article{Jeanneret2014GeometricallyPR, title={Geometrically protected reversibility in hydrodynamic Loschmidt-echo experiments.}, author={Rapha{\"e}l Jeanneret and Denis Bartolo}, journal={Nature communications}, year={2014}, volume={5}, pages={ 3474 } }

When periodically driven, a number of markedly different systems (colloids, droplets, grains, flux lines) have revealed a transition from a reversible to an irreversible dynamics that hardly depends on the very nature of the interacting objects. Yet, no clear structural signature has been found for this collective self-organization. Here, we demonstrate an archetypal Loschmidt-echo experiment involving thousands of droplets that interact in a reversible fashion via a viscous fluid. First, we…

## 35 Citations

### Emergent Hyperuniformity in Periodically Driven Emulsions.

- PhysicsPhysical review letters
- 2015

It is shown that, as opposed to equilibrium systems, the long-range nature of the hydrodynamic interactions are not required for the formation of hyperuniform patterns, thereby suggesting a robust relation between reversibility and hyper uniformity which should hold in a broad class of periodically driven materials.

### Reversibility and hysteresis of the sharp yielding transition of a colloidal glass under oscillatory shear

- Materials ScienceThe European physical journal. E, Soft matter
- 2016

Using simultaneous x-ray scattering and rheology to investigate the reversibility and hysteresis of the sharp symmetry change from anisotropic solid to isotropic liquid dynamics observed in the oscillatory shear of colloidal glasses, it is shown that these hysteResis effects arise from frequency-dependent non-affine structural cage rearrangements at large strain.

### Criticality and correlated dynamics at the irreversibility transition in periodically driven colloidal suspensions

- Physics
- 2016

One possible framework to interpret the irreversibility transition observed in periodically driven colloidal suspensions is that of a non-equilibrium phase transition towards an absorbing reversible…

### A microscopic view of the yielding transition in concentrated emulsions.

- PhysicsSoft matter
- 2014

It is found that irreversible particle motion sharply increases beyond a volume-fraction dependent critical strain, which is found to be in close agreement with the strain beyond which the stress-strain relation probed in rheology experiments significantly departs from linearity.

### Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions.

- PhysicsPhysical review letters
- 2015

A simple model of a driven suspension shows that a nonequilibrium phase transition is accompanied by hyperuniform static density fluctuations in the vicinity of the transition, where it is found that single particle dynamics becomes intermittent and strongly non-Fickian, and that collective dynamics becomes spatially correlated over diverging length scales.

### Reversibility and criticality in amorphous solids

- PhysicsNature communications
- 2015

It is shown that at a critical strain amplitude the sizes of clusters of atoms undergoing cooperative rearrangements of displacements (avalanches) diverges, suggesting that, at least for highly jammed amorphous systems, the irreversibility transition may be a side effect of depinning that occurs in systems where the disorder is not quenched.

### Absorbing phase transitions in systems with mediated interactions.

- PhysicsPhysical review. E
- 2022

Experiments of periodically sheared colloidal suspensions or soft amorphous solids display a transition from reversible to irreversible particle motion that, when analyzed stroboscopically in time,…

### Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems

- Physics
- 2022

Reversible to irreversible (R-IR) transitions arise in numerous periodically driven collectively interacting systems that, after a certain number of driving cycles, organize into a reversible state…

### Localized transition states in many-particle systems

- Physics
- 2015

This thesis addresses the investigation of the transition from order to chaos in two different systems. In this context, both numerical simulations and theoretical considerations are applied. Popular…

### Striped patterns in radially driven suspensions with open boundaries

- PhysicsPhysics of Fluids
- 2021

We study the motion of radially driven fluid-immersed particles in a novel Hele-Shaw cell with open boundaries. The initially uniform suspension forms a striped pattern within a specific range of…

## References

SHOWING 1-10 OF 27 REFERENCES

### Chaos and threshold for irreversibility in sheared suspensions

- PhysicsNature
- 2005

There is a concentration dependent threshold for the deformation or strain beyond which particles do not return to their starting configurations after one or more cycles, and the comparison with numerical simulations illuminates the connections between chaos, reversibility and predictability.

### Irreversibility and self-organization in hydrodynamic echo experiments.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

The reversible-irreversible transition in low-Reynolds hydrodynamic systems driven by external cycling actuation is discussed and a sharp crossover is obtained between a Lyapunov regime in which any noise source is amplified exponentially, and a diffusive regime where this no longer holds.

### Universality class of the reversible-irreversible transition in sheared suspensions.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

A simple model for this phenomenon is presented, based on which it is argued that this transition lies in the universality class of the conserved directed percolation models, which leads to predictions for the scaling behavior of a large number of experimental observables.

### Irreversibility and chaos: role of long-range hydrodynamic interactions in sheared suspensions.

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

It is demonstrated that the long-range hydrod dynamic interactions are not a source, nor even a magnifier, of irreversibility when coupled with nonhydrodynamic interactions.

### Deterministic and stochastic behaviour of non-Brownian spheres in sheared suspensions

- PhysicsJournal of Fluid Mechanics
- 2002

The dynamics of macroscopically homogeneous sheared suspensions of neutrally buoyant, non-Brownian spheres is investigated in the limit of vanishingly small Reynolds numbers using Stokesian dynamics.…

### Topological persistence and dynamical heterogeneities near jamming.

- Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2007

We introduce topological methods for quantifying spatially heterogeneous dynamics, and use these tools to analyze particle-tracking data for a quasi-two-dimensional granular system of air-fluidized…

### Dynamical Heterogeneities in Grains and Foams

- Physics
- 2010

Dynamical heterogeneities have been introduced in the context of the glass transition of molecular liquids and the lengthscale associated with them has been argued to be at the origin of the observed…

### Clouds of particles in a periodic shear flow

- Physics
- 2011

We have investigated the time evolution of a cloud of non-Brownian particles subjected to a periodic shear flow in an otherwise pure liquid at low Reynolds number. This experiment illustrates the…

### Hydrodynamic fluctuations in confined particle-laden fluids.

- PhysicsPhysical review letters
- 2013

This work addresses the collective dynamics of non-Brownian particles cruising in a confined microfluidic geometry and provides a comprehensive characterization of their spatiotemporal density fluctuations, and introduces a kinetic theory which quantitatively accounts for the experimental findings.

### Yielding and microstructure in a 2D jammed material under shear deformation

- Materials Science
- 2013

The question of how a disordered material's microstructure translates into macroscopic mechanical response is central to understanding and designing materials like pastes, foams and metallic glasses.…