| Title | Construction of a Pathway Map on a Complicated Energy Landscape |
| Authors | Yin, Jianyuan Wang, Yiwei Chen, Jeff Z. Y. Zhang, Pingwen Zhang, Lei |
| Affiliation | Peking Univ, Sch Math Sci, Lab Math & Appl Math, Beijing 100871, Peoples R China IIT, Dept Appl Math, Chicago, IL 60616 USA Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada Peking Univ, Beijing Int Ctr Math Res, Ctr Quantitat Biol, Beijing 100871, Peoples R China |
| Keywords | LENNARD-JONES CLUSTERS ORDER RECONSTRUCTION DEFLATION TECHNIQUES GLOBAL OPTIMIZATION SADDLE-POINTS DIMER METHOD DYNAMICS FIELD NEMATICS SQUARES |
| Issue Date | 2-Mar-2020 |
| Publisher | PHYSICAL REVIEW LETTERS |
| Abstract | How do we search for the entire family tree of possible intermediate states, without unwanted random guesses, starting from a stationary state on the energy landscape all the way down to energy minima? Here we introduce a general numerical method that constructs the pathway map, which guides our understanding of how a physical system moves on the energy landscape. The method identifies the transition state between energy minima and the energy barrier associated with such a state. As an example, we solve the Landau-de Gennes energy incorporating the Dirichlet boundary conditions to model a liquid crystal confined in a square box; we illustrate the basic concepts by examining the multiple stationary solutions and the connected pathway maps of the model. |
| URI | http://hdl.handle.net/20.500.11897/586593 |
| ISSN | 0031-9007 |
| DOI | 10.1103/PhysRevLett.124.090601 |
| Indexed | SCI(E) Scopus EI |
| Appears in Collections: | 数学科学学院 数学及其应用教育部重点实验室 北京国际数学研究中心 |
