AEM 8551 - Multiscale Methods for Bridging Length and Time Scales
Classical/emerging techniques for bridging length/time scales. Nonlinear thermoelasticity, viscous fluids, and micromagnetics from macro/atomic viewpoints. Statistical mechanics, kinetic theory of gases, weak convergence methods, quasicontinuum, effective Hamiltonians, MD, new methods for bridging time scales.
Prerequisites: Basic knowledge of [continuum mechanics, atomic forces], familiarity with partial differential equations, grad student in [engineering or mathematics or physics]
Textbook: Required: Modeling Materials: Continuum, Atomistic and Multiscale Techniques. Ellad B. Tadmor and Ronald E. Miller. Cambridge University Press. ISBN: 9780521856980