SKM 2023 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Glasses and Glass Transition (joint session DY/CPP)

DY 24.3: Talk

Tuesday, March 28, 2023, 14:30–14:45, ZEU 148

A solution to the plasticity of glasses based on topological physics — •Alessio Zaccone — Department of Physics, University of Milan, 20133 Milano, Italy

I will start by reviewing the microscopic theory of linear elasticity in amorphous solids which, from first-principles consideration of non-centrosymmetry in the particle contact environment, leads to mathematical predictions of elastic moduli in quantitative parameter-free agreement with numerical simulations of random jammed packings [1]. This theory fully accounts for the extra non-affine displacements which arise due to the lack of centrosymmetry in disordered solids. I will then show that non-affinity of particle motions gives rise to well-defined topological defects (dislocation-like topological defects, DTDs) which have recently been discovered in the displacement field of glasses [1] and later confirmed in [2]. The norm of the associated Burgers vector of these defects can be used as an accurate predictor of the onset of plastic flow and yielding of glasses, and, in combination with Schmid's law, it can explain the phenomenon of shear banding via self-organization of DTDs in slip systems at 45 degrees with respect to flow direction [4]. Broader implications of a unifying topological field theory of liquids and the glass transition will also be mentioned. [1] A. Zaccone and E. Scossa-Romano, Phys. Rev. B 83, 184205 (2011) [2] Z. W. Wu, Y. Chen, W.-H. Wang, W. Kob, L. Xu, arXiv:2209.02937 (2022)