2016/07/25 by Thomas Gueudré, Jie Lin, Gueudré, Thomas +5 · 5 citations
Chemical Engineering · Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Amorphous solid #Chemistry #Crystallography #Flow (mathematics) #Geometry #Length scale #Material Dynamics and Properties #Materials science #Mathematics #Mechanics #Physics #Rheology #Rheology and Fluid Dynamics Studies #Scale (ratio) #Scaling #Shear rate #Statistical physics #Theoretical and Computational Physics #Thermodynamics
paper · pdf · doi:10.1039/c7sm00434f
published in Soft Matter 13(20), 3794-3801 (Royal Society of Chemistry)
openalex publication_date 2017/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The plastic flow of amorphous materials displays non-local effects, characterized by a cooperativity length scale ξ. We argue that these effects enter in the more general description of surface phenomena near critical points. Using this approach, we obtain a scaling relation between exponents that describe the strain rate profiles in shear driven and pressure driven flow, which we confirm both in numerical models and experimental data. We find empirically that the cooperative length follows closely the characteristic length previously extracted in homogenous bulk flows. This analysis shows that the often used mean field exponents fail to capture quantitatively the non-local effects. Our analysis also explains the unusually large finite size effects previously observed in pressure driven flows.