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Energy landscapes and rare events
Weinan E, Weiqing Ren, Eric Vanden-Eijnden
Many problems in physics, material sciences, chemistry and biology can be abstractly formulated as a system that navigates over a complex energy landscape of high or infinite dimen…
Probing Multi-Scale Energy Landscapes Using the String Method
Weinan E, Weiqing Ren, Eric Vanden-Eijnden
A novel and powerful method is presented for the study of rare switching events in complex systems with multiscale energy landscapes. The method performs an umbrella sampling of th…
String Method for the Study of Rare Events
Weinan E, Weiqing Ren, Eric Vanden-Eijnden
We present a new and efficient method for computing the transition pathways, free energy barriers, and transition rates in complex systems with relatively smooth energy landscapes.…
Optimal Paths for Spatially Extended Metastable Systems Driven by Noise
E. Weinan, Weiqing Ren, Eric Vanden-Eijnden
The least action principle is exploited as a simulation tool to find the optimal dynamic path for spatially extended systems driven by a small noise. Applications are presented for…