Critical diffusivity in the reversibility-irreversibility transition of amorphous solids under oscillatory shear

Ido Regev, Turab Lookman

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Recently it was shown that under oscillatory shear at zero temperature an amorphous solid transitions from asymptotically periodic to asymptotically diffusive steady-state at a critical maximal strain amplitude. Current understanding of the physics behind this transition is lacking. Here we show, using computer simulations, evidence that the diffusivity of the vector of coordinates of the particles comprising an amorphous solid, when subject to oscillatory shear, undergoes a second order phase transition at the reversibility-irreversibility transition point. We explain how such a transition is consistent with dissipative forced dynamics on a complex energy landscape, such as is known to exist in amorphous solids. We demonstrate that as the forcing increases, more and more state-space volume becomes accessible to the system, making it less probable for the state-space trajectory of the system to self-intersect and form a limit-cycle, which explains the slowing-down observed at the transition.

Original languageEnglish
Article number045101
JournalJournal of Physics Condensed Matter
Volume31
Issue number4
DOIs
StatePublished - 30 Jan 2019

Keywords

  • amorphous solids
  • non equilibrium phase transition
  • plasticity
  • soft condensed matter
  • statistical physics

ASJC Scopus subject areas

  • Materials Science (all)
  • Condensed Matter Physics

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