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首页> 外文期刊>Physical Review X >Theory for Swap Acceleration near the Glass and Jamming Transitions for Continuously Polydisperse Particles
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Theory for Swap Acceleration near the Glass and Jamming Transitions for Continuously Polydisperse Particles

机译：用于玻璃附近的交换加速度的理论和用于连续多分散颗粒的干扰过渡

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swap algorithms can shift the glass transition to lower temperatures, a recent unexplained observation constraining the nature of this phenomenon. Here we show that swap dynamics is governed by an effective potential describing both particle interactions as well as their ability to change size. Requiring its stability is more demanding than for the potential energy alone. This result implies that stable configurations appear at lower energies with swap dynamics, and thus at lower temperatures when the liquid is cooled. The magnitude of this effect is predicted to be proportional to the width of the radii distribution, and to decrease with compression for finite-range purely repulsive interaction potentials. We test these predictions numerically and discuss the implications of our findings for the glass transition. These results are extended to the case of hard spheres where swap is argued to destroy metastable states of the free energy coarse grained on vibrational timescales. Our analysis unravels the soft elastic modes responsible for the speed-up induced by swap , and allows us to predict the structure and the vibrational properties of glass configurations reachable with swap . In particular, for continuously polydisperse systems we predict the jamming transition to be dramatically altered, as we confirm numerically. A surprising practical outcome of our analysis is a new algorithm that generates ultrastable glasses by a simple descent in an appropriate effective potential.
机译：交换算法可以将玻璃过渡转移到较低的温度，最新的未解释的观察，限制了这种现象的性质。在这里，我们表明交换动态由描述两个粒子相互作用以及它们的变化能力的有效潜力来控制。对于单独的潜在能量，要求其稳定性更高。该结果意味着稳定的配置在具有交换动力学的较低能量下出现，因此在冷却液体时在较低的温度下。预计该效果的大小预测与半径分布的宽度成比例，并且用压缩减小，以便有限范围纯粹排斥相互作用电位。我们在数字上进行了测试这些预测，并讨论了我们对玻璃过渡的结果的影响。这些结果延伸到硬球的情况，其中换档被认为破坏腐蚀的自由能量粗糙度粗糙的较大粒度。我们的分析解除了负责换档诱导的速度的软弹性模式，并允许我们预测玻璃配置的结构和振动性能随互换。特别是，对于连续的多分散系统，我们预测在数值证实的情况下，我们预测要显着改变的干扰转换。我们分析的令人惊讶的实用结果是一种新的算法，通过在适当的有效潜力中通过简单的下降来产生耐光眼镜。

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