ABSTRACT

Natural phenomena occur on a variety of length scales, which not only roughly de ne scienti c disciplines (physics and chemistry for the very small, biology for intermediate, geology for very long times and large length scales, and cosmology for the largest), but also delineate sub elds within a given discipline, due to the very different experimental methods and theoretical models applicable at each scale [1]. In some cases, these models form a multiscale hierarchy in which the parameters used in the larger scale can be measured or calculated using modeling carried out on a smaller scale.