Dynamics and Self-Organization in Threshold Sensitive Systems

阈值敏感系统中的动力学和自组织

• 批准号: 9212396
• 负责人: Jean Carlson
• 金额: --
• 依托单位: University of California-Santa Barbara
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-08-15 至 1995-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9212396&HistoricalAwards=false
• 关键词: Dynamics; Self; Organization; Threshold; Sensitive

Theoretical studies will be conducted on the dynamics of complex nonequilibrium systems with many degrees of freedom focusing on systems which exhibit nontrivial scaling properties. A central aspect of this work involves a general formulation consisting of singular diffusion limits. Issues to be addressed include universality, deterministic versus stochastic dynamics, field theoretic techniques, the role of conservation laws, origins of the separation of time scales, and the breakdown of hydrodynamics in certain systems. Specific applications of these concepts will be applied to problems in seismology, fracture, friction and solid state physics. %%% Research will be conducted on both general concepts and specific applications of self-organized criticality. This is a theory for such common events as avalanches of sandpiles which may have a profound impact on fundamental physics and nonlinear science, and yet may have wide-spread application to a variety of real problems including earthquakes, friction and fracture.

理论研究将集中于具有非平凡标度特性的多自由度复杂非平衡系统的动力学。这项工作的一个中心方面涉及由奇异扩散极限组成的一般公式。要解决的问题包括普遍性，确定性与随机动力学，场论技术，守恒定律的作用，时间尺度分离的起源，以及某些系统中流体动力学的分解。这些概念的具体应用将应用于地震学、断裂、摩擦和固体物理中的问题。将对自组织临界性的一般概念和具体应用进行研究。这是一种针对沙堆雪崩等常见事件的理论，对基础物理和非线性科学具有深远的影响，但也可能广泛应用于地震、摩擦和断裂等各种实际问题。