Thematic Program: Dynamics and Transport in Disordered Systems

该奖项支持2011年春季在加拿大多伦多菲尔兹研究所进行的“无序系统动力学和传输”专题项目的美国参与者。很久以前人们就知道热量从热的物体流向冷的物体，电压的不同会产生电流。即使宏观上这在许多情况下都得到了很好的研究，但在微观层面上理解这些现象并不容易。对于这种现象，已经提出了几种数学模型。有些是基于概率论的，有些是经典的和确定性的。近年来，这两类模型都取得了很好的进展，发现的数学现象有时惊人地相似。这个特殊学期的主要目标是把这两种模式的专家聚集在一起，找到共同点，并确保有学生在这两种观点上都得到了训练。

This award supports US participants of Thematic Program: Dynamics and Transport in Disordered Systems at the Fields Institute in Toronto, Canada in the Spring 2011.It has been known for a long time that heat flows from hot bodies to cold ones, that differences in voltages generate currents. Even if macroscopically this is well studied in many contexts, it is not easy to understand these phenomena at the microscopic level.Several mathematical models have been proposed for the phenomena. Some of them based on probability theory and some of them are classical and deterministic.In recent times, there has been very good progress in both classes of models the mathematical phenomena discovered are eerily similar sometimes. The main goal of the special semester is to bring together specialists in both types of models to find common ground and to make sure that there are students who get trained in both points of view.