2016/02/15 by Di Zhou, Zhou, Di
Earth and Planetary Sciences · Materials Science · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #Earthquake Detection and Analysis #FOS: Physical sciences #Glass properties and applications #Material Dynamics and Properties #cond-mat.dis-nn
paper · pdf · doi:10.48550/arxiv.1602.04534
This paper has been withdrawn by the author, because the renormalization equation lacks a detailed discussion of the sign of the glass non-elastic susceptibility, which may lead to a qualitatively different conclusion compared to the current result in this paper
openalex publication_date 2016/02/15 · arxiv created 2016/08/10 · arxiv updated 2016/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Glass sound velocity shift was observed to be longarithmically temperature dependent in both relaxation and resonance regimes: Δc/c=Cln T. It does not monotonically increase with temperature from T=0K, but to reach a maximum around a few Kelvin. Different from tunneling-two-level-system (TTLS) which gives the slope ratio between relaxation and resonance regimes C\rm rel :C\rm res =-(1)/(2):1, we develop a generic coupled block model to give C\rm rel :C\rm res =-1:1, which agrees well with the majority of experimental measurements. We use electric dipole-dipole interaction to carry out a similar behavior for glass dielectric constant shift Δε/ε=Cln T. The slope ratio between relaxation and resonance regimes is C\rm rel:C\rm res=1:-1 which agrees with dielectric measurements quite well. By developing a renormalization procedure for non-elastic stress-stress and dielectric susceptibilities, we prove these universalities essentially come from 1/r3 long range interactions, independent of materials' microscopic properties.