Dynamics in Glassy and Disordered Systems

玻态和无序系统的动力学-这个项目的目的是继续以前的玻态和无序系统动力学的研究，集中在三个领域。数值酶技术（先前由PI开发）将用于加速双组分Lennard-Jones模型的动力学，以测试和完善PI的玻璃化转变缩放理论。还将研究电荷密度波脱巢跃迁，特别是检查发生在跃迁的固定侧的雪崩中的稀疏制度和相组织。最后，将无无序Ising模型的对数粗化研究从三维转向二维，并从模拟中提取尺度和临界性质。提出的研究的一个主要主题是PI关于达尔文选择数值酶的想法的发展，以加速蒙特卡罗模拟。当前统计物理学研究的主要领域之一是玻璃态的性质和形成。尽管缺乏对玻璃态的详细理解（甚至玻璃作为一个定义良好的热力学状态的识别是不清楚的），玻璃是一般随机系统的标准范例。除了通过更好地了解玻璃（我们社会最重要的结构材料之一）所产生的明显好处之外，提炼玻璃和其他密切相关系统之间的类比的可能性是一个相关的目标。为这项研究开发的技术（数值酶）是相当新的，进一步研究它们的性质、潜力和局限性是该项目的另一部分。这种新型模拟技术对材料科学的潜在影响非常大。

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.