液体过冷能源景观的全球展望 液体和玻璃系统：通过势能的测地路径 景观

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摘要翻译：
考虑一个复杂的多体系统的势能景观有多有用，在很大程度上取决于这种联系与系统动力学的关系有多直接。在本文中，我们证明，在我们所说的势能景观系综中，景观的几何形状与诸如过冷液体等系统的长时间动力学行为之间有直接联系是可能的。我们特别指出，这种系统中缓慢动力学的开始直接受它们的测地线的长度--在特殊的集合中通过它们的景观的最短路径--支配。这些测地线越曲折，动力学就越慢。景观集合中的测地线具有足够明确的特征，可以直接从数值上搜索它们，这一点我们通过计算普通原子液体和二元玻璃形成原子混合物的测地线长度来说明。我们发现，这些体系的扩散系数随温度的变化，包括玻璃形成体系接近模式耦合转变时的陡降，可以通过测地线路径长度的增长来定量地预测。
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英文标题：
《Global perspectives on the energy landscapes of liquids, supercooled
  liquids, and glassy systems: Geodesic pathways through the potential energy
  landscape》
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作者：
Chengju Wang and Richard M. Stratt
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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：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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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：
  How useful it is to think about the potential energy landscape of a complex many-body system depends in large measure on how direct the connection is to the system's dynamics. In this paper we show that, within what we call the potential energy landscape ensemble, it is possible to make direct connections between the geometry of the landscape and the long-time dynamical behaviors of systems such as supercooled liquids. We show, in particular, that the onset of slow dynamics in such systems is governed directly by the lengths of their geodesics - the shortest paths through their landscapes within the special ensemble. The more convoluted and labyrinthine these geodesics are, the slower that dynamics is. Geodesics in the landscape ensemble have sufficiently well-defined characteristics that is straightforward to search for them numerically, a point we illustrate by computing the geodesic lengths for an ordinary atomic liquid and a binary glass-forming atomic mixture. We find that the temperature dependence of the diffusion constants of these systems, including the precipitous drop as the glass-forming system approaches its mode-coupling transition, is predicted quantitatively by the growth of the geodesic path lengths.
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PDF链接：
https://arxiv.org/pdf/706.4295

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关键词：Quantitative Perspectives equilibrium Connections QUANTITATIV 多体 direct 形成 landscape liquids