Abstract:Multiscale science is the study of phenomena that couple distinct length or time scales.It would be difficult to overstate the scope of multiscale science, which is centraJ to such diverse fields as fluid dynamics, materials science, biology, environmental science, chemistry, geology, meteorology, and high-energy physics, Just as nonlinear and stochastic phenomena have been recognized as cross-catting approaches, we see that multiscale science lies at the heart of many of the most challenging problems of co...