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Avalanche Size Scaling in Sheared Three-Dimensional Amorphous Solid

2007/02/20 by N. P. Bailey, Nicholas P. Bailey, J Schiøz +5 · 3 citations
Chemistry · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Amorphous solid #Chemistry #Condensed matter physics #Crystallography #Exponent #Exponential function #Fractal #Fractal dimension #Geometry #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Metallic Glasses and Amorphous Alloys #Physics #Scaling #Statistical physics #Theoretical and Computational Physics #Thermodynamics #Volume (thermodynamics) #cond-mat.dis-nn #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevlett.98.095501

Accepted for publication in Physical Review Letters

arxiv created 2007/02/20 · openalex publication_date 2007/02/28 · arxiv updated 2016/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the statistics of plastic rearrangement events in a simulated amorphous solid at T=0. Events are characterized by the energy release and the "slip volume", the product of plastic strain and system volume. Their distributions for a given system size L appear to be exponential, but a characteristic event size cannot be inferred, because the mean values of these quantities increase as Lalpha with alpha approximately 3/2. In contrast with results obtained in 2D models, we do not see simply connected avalanches. The exponent suggests a fractal shape of the avalanches, which is also evidenced by the mean fractal dimension and participation ratio.

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