Stability of the Minimal Energy Path

Huajie Chen, Beijing Normal University Mathematical Sciences
March 12, 2024 12:30 pm Math 203

The minimum energy path (MEP) is the most probable transition path that connects two equilibrium states of a potential energy landscape. It has been widely used to study transition mechanisms as well as transition rates in the fields of chemistry, physics, and materials science. In this talk, we show a novel result establishing the stability of MEPs under perturbations of the energy landscape. The result also represents a crucial step towards studying the convergence of numerical discretisations of MEPs. This is a joint work with Xuanyu Liu (BNU) and Christoph Ortner (UBC). 

This talk is being hosted by the PACMAN (Physics And Computation, Mathematics And Numerics) group.