Cooperative Phenomena in Condensed Matter Systems

凝聚态系统中的合作现象

• 批准号: 8721673
• 负责人: Allan Peter Young
• 金额: $ 36.12万
• 依托单位: University of California-Santa Cruz
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-08-15 至 1992-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8721673&HistoricalAwards=false
• 关键词: Cooperative; Phenomena; Condensed; Matter; Systems

Several basic unsolved questions concerning the spin glass problem, such as the nature of the ordered phase and reentrant behavior, will be investigated. Studies of faster simulation algorithms for these problems will be undertaken. The behavior of neural networks for learning and computation will be analyzed from a statistical mechanics perspective, and algorithms for producing better networks will be investigated. Numerical simulations of alternative models of superconductivity will be undertaken with the goal of understanding the mechanism responsible for the recently discovered high temperature superconductors. Correlation exponents in multifractals will be used to measure the spectrum of dimensions that characterize such systems, and questions concerning the amount of information contained in the scaling dimensions will be investigated. The statistical properties of systems involving ring polymers will be analyzed using a new and efficient algorithm for their generation. The dynamics of DNA molecules will be studied in the context of pulsed field electrophoresis, which is a new technique of great importance in bioengineering. Fundamental questions regarding the role of chaos in quantum mechanics that have been stimulated by recent experiments on hydrogen atoms in strong magnetic fields will be examined. The quantum mechanics of hard spheres, such as a Lorentz gas, will be studied in high dimension, to explore the validity of the Gibbs distribution in closed quantum systems, and to provide an alternative model of energy dissipation involving a finite number of degrees of freedom.

关于自旋玻璃的几个基本的未解问题 问题，如有序相和重入的性质 行为，将被调查。 快速仿真研究 将采用这些问题的算法。 行为 神经网络的学习和计算将进行分析 从统计力学的角度来看， 将研究如何建立更好的网络。 数值 超导性的替代模型的模拟将是 目的是了解 造成最近发现的高温 超导体 多重分形中的相关指数为 用于测量表征这种 信息量的问题 包含在缩放尺寸将被调查。 的 涉及环聚合物的系统的统计性质将是 使用一种新的有效算法进行分析， 一代 DNA分子的动力学将在 脉冲场电泳的背景下，这是一个新的 在生物工程中非常重要技术。 基本 关于混沌在量子力学中的作用的问题， 受到最近氢原子实验的刺激， 将检查强磁场。 量子力学 硬球，如洛伦兹气体，将在高 维，探讨吉布斯分布的有效性， 封闭的量子系统，并提供一个替代模型， 能量耗散涉及有限的度数， 自由