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arXiv 1108.2636cond-mat.soft
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颗粒轨迹的玻璃弹性

Glass elasticity from particle trajectories

Christian L. Klix, Florian Ebert, Fabian Weysser, Matthias Fuchs, Georg Maret, Peter Keim

摘要:

使用位置数据从视频显微镜的二维胶体系统和硬盘的模拟,我们确定波矢量依赖的正常模式弹性常数在过冷流体和玻璃态,分别。阐明了在非晶态固体中刚性的出现和位移场的存在。在长波长的极限下,采用连续弹性理论分析了该非晶体系的体积模量和剪切模量随温度的变化关系。在冷却时有限静态剪切模量的开始标志着流体/固体转变。这提供了以直观和精确的方式确定玻璃化转变温度$T_g$的机会。

英文摘要:

Using positional data from video-microscopy of a two-dimensional colloidal system and from simulations of hard discs we determine the wave-vector-dependent normal mode spring constants in the supercooled fluid and glassy state, respectively. The emergence of rigidity and the existence of a displacement field in amorphous solids is clarified. Continuum elastic theory is used in the limit of long wavelengths to analyze the bulk and shear modulus of this amorphous system as a function of temperature. The onset of a finite static shear modulus upon cooling marks the fluid/solid transition. This provides an opportunity to determine the glass transition temperature $T_g$ in an intuitive and precise way.

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