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In this talk, I will describe plastic instabilities and the density of low-frequency quasilocalized modes (QLMs) in amorphous solids at T=0 and finite temperatures. For athermal solids
(T=0), we study plastic instabilities by using the bare Hessian matrix and its eigenvalues and eigenfunctions. The density of low-frequency QLMs exhibits a universal density of states D(ω)~ω^4.
Similar to athermal solids, we observed that the time-averaged particle configurations undergo
sharp plastic instabilities under strain at finite temperatures. In this talk, I will describe the uplifting
of Hessian methods to thermal glasses and show that the effective Hessian describing plastic
instabilities at finite T is different from bare Hessian at T=0. Also, we found that the density of lowfrequency
QLMs at finite T conforms to the universal law: D(ω)~ω^4.
References:
1) Prasenjit Das, Valery Ilyin, and Itamar Procaccia, Phys. Rev. E 100 062103 (2019).
2) Prasenjit Das, H. George E. Hentschel, and Itamar Procaccia, Phys. Rev. E 101 052903 (2020).
3) Prasenjit Das, H. George E. Hentschel, Edan Lerner, and Itamar Procaccia, Phys. Rev. B 102
014202 (2020).
4) Prasenjit Das and Itamar Procaccia, Phys. Rev. Lett. 126 085502 (2021). |