Loss of memory of an elastic line on its way to limit cycles
arXiv:2308.05603 · doi:10.1103/PhysRevE.109.L042901
Abstract
Under an oscillating mechanical drive, an amorphous material progressively forgets its initial configuration and might eventually converge to a limit cycle. Beyond quasistatic drivings, how structurally disordered systems lose or record such memory remains theoretically challenging. Here we investigate these issues in a minimal model system -- with quenched disorder and memory encoded in a spatial pattern -- where the oscillating protocol can formally be replaced by finite positive-velocity driving. We consider an elastic line driven at zero temperature in a fixed disordered landscape, with bi-periodic boundary conditions and tunable system size. This setting allows us to control the area swept by the line at each cycle in a given disorder realisation, as would the amplitude of an oscillating drive. We find that the line converges to disorder-dependent limit cycles, jointly for its geometrical \emph{and} velocity profiles. Moreover, the way it forgets its initial condition is strongly coupled to the nature of the velocity dynamics it displays depending on system size. We conclude on the implications of these results for the response of amorphous materials under \emph{non}-quasistatic oscillating protocols.
arXiv comment4 figures
References in corpus (44)
- Yield Stress Materials in Soft Condensed Matter
- Amorphous Systems in Athermal, Quasistatic Shear
- Statistical Models of Fracture
- Fractal free energy landscapes in structural glasses
- Collective Transport: From Superconductors to Earthquakes
- Memory formation in matter
- Scaling description of the yielding transition in soft amorphous solids at zero temperature
- The yielding transition in amorphous solids under oscillatory shear deformation
- Critical Dynamics of Contact Line Depinning
- Onset of Irreversibility and Chaos in Amorphous Solids Under Periodic Shear
- Pinning and Sliding of Driven Elastic Systems: from Domain Walls to Charge Density Waves
- An extremal model for amorphous media plasticity
- From Individual to Collective Pinning: Effect of Long-range Elastic Interactions
- Macroscopic yielding in jammed solids is accompanied by a non-equilibrium first-order transition in particle trajectories
- Glass stability changes the nature of yielding under oscillatory shear
- Multiple transient memories in experiments on sheared non-Brownian suspensions
- Hysteretic dynamics of domain walls at finite temperatures
- Networks and Hierarchies: How Amorphous Materials Learn to Remember
- Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media
- Disordered Elastic Systems and One-Dimensional Interfaces
- Multiperiodic orbits from interacting soft spots in cyclically-sheared amorphous solids
- From depinning transition to plastic yielding of amorphous media: A soft modes perspective
- Domain Wall Depinning in Random Media by AC Fields
- Aftershock sequences and seismic-like organization of acoustic events produced by a single propagating crack
- From microstructural features to effective toughness in disordered brittle solids
- X-ray tomography investigation of cyclically sheared granular materials
- Topology of the energy landscape of sheared amorphous solids and the irreversibility transition
- Cyclic annealing as an iterated random map
- Random-Manifold to Random-Periodic Depinning of an Elastic Interface
- Crackling to periodic dynamics in sheared granular media
- Mapping out the glassy landscape of a mesoscopic elastoplastic model
- Static fluctuations of a thick 1D interface in the 1+1 Directed Polymer formulation
- Crackling vs. continuum-like dynamics in brittle failure
- Metastability as a mechanism for yielding in amorphous solids under cyclic shear
- Ultra-stable shear jammed granular material
- Driven interfaces: from flow to creep through model reduction
- Seismic-like organization of avalanches in a driven long-range elastic string as a paradigm of brittle cracks
- Crack growth in heterogeneous brittle solids : Intermittency, crackling and induced seismicity
- Effect of disorder geometry on the critical force in disordered elastic systems
- Sheared Amorphous Packings Display Two Separate Particle Transport Mechanisms
- Mean field theory for driven domain walls in disordered environments
- Controlling crackling dynamics by triggering low intensity avalanches
- On mean field theory for ac-driven elastic interfaces exposed to disorder
- Perturbation theory for ac-driven interfaces in random media