Statistical Mechanics of Low-Dimensional Systems

低维系统的统计力学

• 批准号: 8813083
• 负责人: Eberhard Riedel
• 金额: $ 34.57万
• 依托单位: University of Washington
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-01-01 至 1992-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8813083&HistoricalAwards=false
• 关键词: Statistical; Mechanics; Low; Dimensional; Systems

This research consists of two parts. E. K. Riedel will extend his analytical and numerical studies of quantum coherence and transport phenomena in small mesoscopic structures. The initial focus will be on persistent currents in non-superconducting rings and related static and dynamic mesoscopic phenomena. The goal is the elucidation of unusual quantum coherence and statistical mechanical effects that occur in the electronic, thermal, and mechanical properties of submicron sized structures. He will also look at the competition between surface-roughening and surface-melting phase transitions in solids. M. den Nijs will extend his present work on two-dimensional critical phenomena and phase transitions and on the ground state properties of one-dimensional quantum systems. This can be characterized by the following four closely related topics: 1. interrelations between surface roughening and surface reconstruction; 2. development and applications of numerical Monte Carlo finite size scaling of interface free energies; 3. further development and applications of extended scaling and conformal invariance; 4. novel fluid states with long range order in one-dimensional quantum spin chains.

本研究由两部分组成。里德尔将扩展他对小介观结构中量子相干和输运现象的分析和数值研究。最初的焦点将是非超导环中的持续电流以及相关的静态和动态介观现象。其目标是阐明在亚微米级结构的电子、热和机械特性中发生的不寻常的量子相干和统计机械效应。他还将研究固体中表面粗糙和表面熔化相变之间的竞争。M.den Nijs将扩展他目前在二维临界现象和相变以及一维量子系统的基态性质方面的工作。这可归结为以下四个密切相关的主题：1.表面粗糙与表面重构之间的相互关系；2.界面自由能的数值蒙特卡罗有限尺寸标度的发展和应用；3.扩展标度和共形不变性的进一步发展和应用；4.一维量子自旋链中具有长程有序的新型流体态。