摘要翻译：
我们建立了一个最小平均场的非晶固体塑性模型，基于耗散事件的现象学，在前文[a.Lemaitre,C.Caroli,ARXIV:0705.0823]中从广泛的分子模拟中导出。它归结为一个相同剪切相变区系综的动力学问题，该系综是由区域翻转引起的长程弹性场通过动态噪声相互作用而产生的。我们发现，这些成分足以产生翻转雪崩，其标度与系统大小呈幂律关系，类似于分子模拟中观察到的翻转雪崩。我们进一步表明雪崩的标度特性敏感地依赖于噪声谱的详细形状。这指出了在这些系统中发展一个现实的、粗粒度的弹性描述的重要性。
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英文标题：
《Plastic Response of a 2D Amorphous Solid to Quasi-Static Shear : II -
  Dynamical Noise and Avalanches in a Mean Field Model》
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作者：
Ana\"el Lema\^itre and Christiane Caroli
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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：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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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：
  We build a minimal, mean-field, model of plasticity of amorphous solids, based upon a phenomenology of dissipative events derived, in a preceding paper [A. Lemaitre, C. Caroli, arXiv:0705.0823] from extensive molecular simulations. It reduces to the dynamics of an ensemble of identical shear transformation zones interacting via the dynamic noise due to the long ranged elastic fields induced by zone flips themselves. We find that these ingredients are sufficient to generate flip avalanches with a power-law scaling with system size, analogous to that observed in molecular simulations. We further show that the scaling properties of avalanches sensitively depend on the detailed shape of the noise spectrum. This points out the importance of developing a realistic coarse-grained description of elasticity in these systems.
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PDF链接：
https://arxiv.org/pdf/705.3122