Dynamics in Glassy and Disordered Systems

玻璃态和无序系统中的动力学-本论文的目的 项目是继续以前的研究动态玻璃和 系统混乱，集中在三个方面。 数字酶 技术（先前由PI开发）将用于 加速双组分Lennard-Jones模型的动力学， 测试和完善PI的玻璃化转变的标度理论。 还将研究电荷密度波脱钉过渡， 特别是研究稀疏制度和阶段组织， 雪崩发生在过渡的固定侧。 最后，研究了Ising模型中的对数粗化问题 如果没有无序，将从三维转变为二维， 尺寸，缩放和关键属性将是 从模拟中提取。 建议的一个主要主题是 研究是PI关于达尔文主义的思想的发展 选择数值酶来加速Monte Carlo 仿真 %%% 目前统计学研究的主要领域之一是 物理学是玻璃态的性质和形成。 尽管 缺乏对玻璃态的详细了解（甚至 玻璃作为一个定义明确的热力学状态的识别 不清楚），玻璃是随机系统的标准范例， 将军 除了获得明显的好处之外， 更好地了解玻璃（我们的社会之一， 重要的结构材料），精炼的可能性， 玻璃和其他密切相关的系统之间的类比， 相关目标。 为此开发的技术 研究（数值酶）是相当新的，进一步的研究 它们的特性，潜力和局限性是一个额外的 项目的一部分。 这种新型模拟的影响 材料科学的技术潜力是非常大的。

Dynamics in Glassy and Disordered Systems - The intent of this project is to continue previous studies of dynamics in glassy and disordered systems, focusing on three areas. The numerical enzyme technique (previously developed by the PI) will be used to accelerate the dynamics of a two-component Lennard-Jones model, to test and refine the PI's scaling theory of the glass transition. The charge-density-wave depinning transition will also be studied, in particular examining the sparse regime and phase-organization in the avalanches which occur on the pinned side of the transition. Finally, the study of logarithmic coarsening in Ising models without disorder will be shifted from three-dimensional to two- dimensional, and the scaling and critical properties will be extracted from the simulation. A major theme in the proposed research is development of the PI's ideas concerning Darwinian selection of numerical enzymes to accelerate Monte Carlo simulation. %%% One of the principal areas of current research in statistical physics is the nature and formation of glassy states. Despite the lack of detailed understanding concerning the glassy state (even the identification of glass as a well-defined thermodynamic state is unclear), glass is the standard paradigm for random systems in general. Beyond the obvious benefit to be generated by obtaining a better understanding of glass (one of our societies most important structural materials), the possibility of refining the analogy between glass and other, closely-related systems as is a relevant goal. The techniques which are being developed for this study (numerical enzymes) are quite new, and further investigation of their properties, potential, and limitations is an additional part of the project. The impact of this new class of simulation techniques on materials science is potentially very great.