摘要翻译:
长金属丝注入二维空腔的强制填充导致了包含具有不同曲率半径的多级环级联的压碎结构。我们通过实验和高分辨率数字技术研究了这类系统中储存的弹性能的分布。发现曲率弹性能集中的集合维数$D_\mathcal{S}=1.0\pm0.1$,质量分布的集合维数$D=1.9\pm0.1$。
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英文标题:
《Condensation of elastic energy in two-dimensional packing of wire》
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作者:
C. C. Donato, M. A. F. Gomes
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
Forced packing of a long metallic wire injected into a two-dimensional cavity leads to crushed structures involving a hierarchical cascade of loops with varying curvature radii. We study the distribution of elastic energy stored in such systems from experiments, and high-resolution digital techniques. It is found that the set where the elastic energy of curvature is concentrated has dimension $D_\mathcal{S} = 1.0 \pm 0.1$, while the set where the mass is distributed, has dimension $D =1.9 \pm 0.1$.
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PDF链接:
https://arxiv.org/pdf/705.2221