Related Experiment Videos
Finite temperature string method for the study of rare events.
Weinan E1, Weiqing Ren, Eric Vanden-Eijnden
1Department of Mathematics and PACM, Princeton University, Princeton, New Jersey 08544, USA.
The Journal of Physical Chemistry. B
|July 21, 2006
Summary
This study introduces a novel method for analyzing rare events in complex systems, like conformational changes. It identifies transition pathways and rates, even when standard theories don't apply.
Area of Science:
- Computational Chemistry
- Statistical Mechanics
- Materials Science
Background:
- Studying rare events in activated processes is challenging, especially when the reaction coordinate is unknown.
- Traditional methods like transition state theory have limitations for such complex systems.
Purpose of the Study:
- To develop and validate a new computational method for studying rare events and determining transition pathways.
- To apply this method to understand solid-solid transformations in condensed matter.
Main Methods:
- Adaptive sampling of the energy landscape.
- Determination of isoprobability surfaces for transitions.
- Weighting surfaces by equilibrium probability distribution to define effective pathways.
Main Results:
- The method successfully identifies effective transition pathways and associated rates for rare events.
- Validation on a 2D system and application to a solid-solid transformation model demonstrate its utility.
- The approach provides a 'tube' in configuration space for high-probability conformational changes.
Conclusions:
- This adaptive sampling method offers a robust approach for rare event analysis beyond traditional theories.
- It enables the characterization of complex conformational changes and transformations in condensed systems.
- The method provides insights into the kinetics and mechanisms of solid-solid phase transitions.