Our work on nonlinear elasticity, yielding and entropy in amorphous solids has been recently published in Science Advances. It was a great collaboration between Shanghai and Beijing and between high-energy physicists and soft-matter physicists. For a brief press release see here. Congratulations to all the members of the collaboration!!
An article about our paper has also appeared in Phys.org
Matteo will give a series of lectures next week about the theory of liquids dynamics @ the Institute of Continuous Media Mechanics of the Ural Branch of the Russian Academy of Science (ICMM UB RAS) Perm, Russia. The details are below.
16 ноября 2021 11:00 (9:00 МСК, 14:00 Shanghai) Лекция 2 – Prof. M.Baggioli: The dynamics of (k-gapped) shear waves and their dispersion relation
17 ноября 2021 11:00 (9:00 МСК, 14:00 Shanghai) Лекция 4 – Prof. M.Baggioli: The low frequency scaling of the vibrational density of states
19 ноября 2021 11:00 (9:00 МСК, 14:00 Shanghai) Лекция 6 – Prof. M.Baggioli: The temperature dependence of the heat capacity.
Abstract. The vibrational, thermodynamically and mechanical properties of solids are well-understood since Debye’s work in 1912. On the contrary, the same understanding for amorphous systems (liquids and glasses) has remained elusive for more than a century and it is still a mystery. In these lectures, we will consider three distinctive properties of liquids which are drastically different from their solid counterpart and which remain largely unexplained: (I) the dynamics of (k-gapped) shear waves and their dispersion relation, (II) the low frequency scaling of the vibrational density of states and (III) the temperature dependence of the heat capacity. After reviewing these three problems, we will tackle them from a theoretical point of view using symmetries, effective field theory and hydrodynamics. The lectures are mainly based on: – “Gapped momentum states”, Physics Reports 2020 [arXiv:1904.01419] – “Field Theory of Dissipative Systems with Gapped Momentum States”, PRD 2020 [arXiv:2004.13613] – “Universal law for the vibrational density of states of liquids”, PNAS 2021 [arXiv:2101.01380] – “Deformations, relaxation and broken symmetries in liquids, solids and glasses: a unified topological field theory” [arXiv:2101.05015] – “Explaining the specific heat of liquids based on instantaneous normal modes”, PRE 2021 [arXiv:2101.07585 ]
In a recent PRL publication (https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.015501), a research team led by professor Matteo Baggioli from SJTU Shanghai and professor Alessio Zaccone from University of Milano, discovered, for the first time, well-defined topological defects in amorphous solids by analyzing the topological structure of the dynamical displacement field under deformation. This new description based on topological higher-form symmetries quantifies the amount of non-affine displacements at the atomic/molecular level and uses it as a topological predictor of plastic events using the geometrical concept of dynamical Burgers vector. The new theory provides a very accurate prediction for the yielding point at the plasticity transition of amorphous solids, and explains the occurrence of shear bands ubiquitously observed in experiments.