Yielding and memory in a driven mean-field model of glasses

Abstract

Glassy systems reveal a wide variety of generic behaviors, which lack a unified theoretical description. Here, we study a mean-field model, recently shown to reproduce the universal non-phononic vibrational spectra of glasses, under oscillatory driving forces. The driven mean-field model, featuring a disordered Hamiltonian structure, naturally predicts the salient dynamical phenomena in cyclically deformed glasses. Specifically, it features an oscillatory yielding transition, characterized by an absorbing-to-diffusive transition in the system's microscopic trajectories and large-scale hysteresis. The model also reveals dynamic slowing-down from both sides of the transition, as well as mechanical and thermal annealing effects that mirror their glass counterparts. Finally, we demonstrate a non-equilibrium ensemble equivalence between the driven post-yielding dynamics at fixed quenched disorder and quenched disorder averages of the non-driven system, along with memory formation.

v2: Expanded manuscript, improved abstract, new Appendix E & Fig. 6A (quenched disorder dependence of nonphononic modes)

References in corpus (21)

• Supercooled Liquids for Pedestrians
• Strain localization and percolation of stable structure in amorphous solids
• Evaluation of the "disorder temperature" and "free volume" formalisms via simulations of shear banding in amorphous solids
• A microscopic view of the yielding transition in concentrated emulsions
• On the analysis of the vibrational Boson peak and low-energy excitations in glasses
• Relationships among structure, memory, and flow in sheared disordered materials
• Mechanical memories in solids, from disorder to design
• Cyclic annealing as an iterated random map
• Marginal stability of soft anharmonic mean field spin glasses
• Cooperative effects driving the multi-periodic dynamics of cyclically sheared amorphous solids
• The boson peak in the vibrational spectra of glasses
• Yielding and plasticity in amorphous solids
• Memory Effects in Schematic Models of Glasses Subjected to Oscillatory Deformation
• Dissipation indicates memory formation in driven disordered systems
• Metastability as a mechanism for yielding in amorphous solids under cyclic shear
• Marginal Stability Enables Memory Training in Jammed Solids
• Generalizing multiple memories from a single drive: The hysteron latch
• Experimental evidence for the ${\omega }^4$ tail of the nonphononic spectra of glasses
• Microstructural and rheological training and memory of nanocolloidal soft glasses under cyclic shear
• Self-organization and memory in an disordered solid subject to random loading
• Two-level systems and harmonic excitations in a mean-field anharmonic quantum glass