RUI: Fragmentation, Dispersal, and Coalescence in Nonequilibrium Statistical Mechanics

RUI：非平衡统计力学中的破碎、分散和合并

• 批准号: 0434500
• 负责人: Timothy Halpin-Healy
• 金额: --
• 依托单位: Barnard College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-11-01 至 2009-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0434500&HistoricalAwards=false
• 关键词: RUI; Fragmentation; Dispersal; Coalescence; Nonequilibrium

This research is supported under the Research at Undergraduate Institutions program. The research will explore how statistical mechanical concepts, models, tools and philosophy can be used to better inform our understanding of dynamical phase transition phenomena and spatiotemporal pattern formation in agent-based, stochastic, far-from-equilibrium (spin-flip) models of opinion dynamics, cooperation and competition. The common thread concerns a statistical mechanical approach to socioeconomic populations, focusing on fragmentation, dispersal and coalescence dynamics, as interacting agents evolve and form groups within a multidimensional ideological, opinion, or strategy space. Dependence upon network topology and dimensionality, order parameter nature (continuous vs. discrete) and symmetry, differences between consensus vs. coexistence dynamics, as well as the robustness and scope of universality classes lie at the heart of many fundamental questions yet to be answered for these complex, self-organized non-equilibrium systems. Beyond the topics themselves, the intellectual merit of this research is firmly based upon its overtly interdisciplinary character, tying together various disciplines; providing a statistical physics approach to socioeconomic agent-based modeling, i.e., the Minority Game; and the mentoring of undergraduate researchers.Broader impacts include the involvement of undergraduate women from Barnard College; the interaction of this statistical physics program with complementary research being done at Columbia; and international collaborations with Leiden and Oxford.%%%This theoretical research will explore the applications of statistical physics concepts and tools to social and economic systems. In particular, so-called agent-based systems will be explored. These systems are similar to voting populations where independent entities (voters) are being influenced by agents (advertising, peer pressure). The work will be performed with a number of groups including ones in England and the Netherlands. This will create opportunities for undergraduates at Barnard College.***

本科机构计划的研究支持了这项研究。 该研究将探讨如何使用统计机械概念，模型，工具和哲学来更好地了解我们对基于代理的，随机，远距离平衡（Spin-Flip）观点动态，合作，合作，合作和竞争的动态相变现象和时空模式形成的理解。 共同的线程涉及对社会经济种群的统计机械方法，重点是分散，分散和聚结动力学，因为相互作用的代理在多维意识形态，意见或策略空间中发展并形成群体。 依赖网络拓扑和维度，顺序参数性质（连续与离散）和对称性，共识与共存动态之间的差异以及普遍性类别的鲁棒性和范围是许多基本问题的核心，尚待为这些复杂的，自组织的非平衡系统回答。除了主题本身，这项研究的智力优点是基于其公开的跨学科特征，将各种学科绑在一起。为基于社会经济的建模提供统计物理学方法，即少数群体游戏；以及对本科研究人员的指导。公民的影响包括巴纳德学院的本科妇女的参与；该统计物理计划与在哥伦比亚进行的补充研究的相互作用；以及与莱顿和牛津的国际合作。%% %%这项理论研究将探讨统计物理概念和工具在社会和经济体系中的应用。 特别是，将探索所谓的基于代理的系统。 这些系统类似于投票人群，在该投票人群中，独立实体（选民）受代理影响（广告，同伴压力）的影响。 这项工作将与包括英格兰和荷兰在内的许多团体一起进行。 这将为巴纳德学院的本科生创造机会。***