Slow Time-Scale Behavior of Fast Microscopic Dynamics - IPAM at UCLA

Explore a 56-minute lecture on understanding and exploiting slow time-scale behavior of rapidly evolving microscopic dynamics in materials modeling. Delve into Amit Acharya's presentation at IPAM's workshop on Scale-Bridging Materials Modeling at Extreme Computational Scales. Discover a computational methodology based on mathematical theory that defines coarse variables, determines their evolution equations, and provides strategies for initializing microscopic simulations. Examine examples that violate ergodicity and include both conservative and dissipative behavior. Learn about a novel approach to coarse-graining discrete dislocation dynamics for PDE-based plasticity models without relying on constitutive assumptions. Gain insights into addressing the challenges of vast time-scale separations between macroscopic variables and microscopic dynamics in engineering applications.