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arXiv 0705.3122cond-mat.dis-nncond-mat.stat-mech
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二维非晶态固体对准静态剪切的塑性响应:II -平均场模型中的动态噪声和雪崩

Plastic Response of a 2D Amorphous Solid to Quasi-Static Shear : II - Dynamical Noise and Avalanches in a Mean Field Model

Anaël Lemaître, Christiane Caroli

摘要:

本文根据在前一篇论文[A]中导出的耗散现象学,建立了一个非晶态固体塑性的最小平均场模型。勒梅特角Caroli,arXiv:0705.0823]从广泛的分子模拟。它减少到一个合奏的动力学相同的剪切转换区通过动态噪声相互作用,由于长距离的弹性场引起的区域翻转本身。我们发现,这些成分足以产生翻转雪崩与幂律缩放系统的大小,类似于分子模拟中观察到的。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开发一个现实的粗粒度的弹性描述的重要性。

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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