Title
An index-resolved fixed-point homotopy and potential energy landscapes.
Abstract
Stationary points (SPs) of the potential energy landscapes can be classified by their Morse index, i.e., the number of negative eigenvalues of the Hessian evaluated at the SPs. In understanding chemical clusters through their potential energy landscapes, only SPs of a particular Morse index are needed. We propose a modification of the "fixed-point homotopy" method which can be used to directly target stationary points of a specified Morse index. We demonstrate the effectiveness of our approach by applying it to the Lennard-Jones clusters.
Year
Venue
Field
2015
CoRR
Cluster (physics),Mathematical analysis,Hessian matrix,Potential energy,Stationary point,Homotopy,Morse code,Fixed point,Classical mechanics,Eigenvalues and eigenvectors,Physics
DocType
Volume
Citations 
Journal
abs/1504.06622
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Tianran Chen100.34
Dhagash Mehta2158.26