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.
4 figures
References in corpus (15)
- Statistical Models of Fracture
- Fractal free energy landscapes in structural glasses
- Scaling description of the yielding transition in soft amorphous solids at zero temperature
- Multiple transient memories in experiments on sheared non-Brownian suspensions
- Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media
- Multiperiodic orbits from interacting soft spots in cyclically-sheared amorphous 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
- Mapping out the glassy landscape of a mesoscopic elastoplastic model
- Metastability as a mechanism for yielding in amorphous solids under cyclic shear
- Ultra-stable shear jammed granular material
- Sheared Amorphous Packings Display Two Separate Particle Transport Mechanisms
- Controlling crackling dynamics by triggering low intensity avalanches