Geometrically protected reversibility in hydrodynamic Loschmidt-echo experiments.

  title={Geometrically protected reversibility in hydrodynamic Loschmidt-echo experiments.},
  author={Rapha{\"e}l Jeanneret and Denis Bartolo},
  journal={Nature communications},
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… 

Emergent Hyperuniformity in Periodically Driven Emulsions.

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

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

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 unified state diagram for the yielding transition of soft colloids

Concentrated colloidal suspensions and emulsions are amorphous soft solids, widespread in technological and industrial applications and studied as model systems in physics and material sciences. They

A microscopic view of the yielding transition in concentrated emulsions.

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.

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

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.

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

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

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

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



Chaos and threshold for irreversibility in sheared suspensions

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.

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.

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.

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

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.

  • A. AbateD. Durian
  • Computer Science
    Physical 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

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

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.

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

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.