-

Construction of the solution landscape on a complicated energy landscape

组织者

胡丕丕 , 梁鑫 , 马志婷 , 哈米德·莫菲迪 , Axel G.R. Turnquist , 王丽 , 熊繁升 , 杨朔 , 杨武岳

演讲者

殷鉴远

时间

2025年12月04日 15:15 至 16:15

地点

A3-4-312

线上

Zoom 928 682 9093 (BIMSA)

摘要

Transition pathways represent the most probable routes of transition between metastable states, and index-1 saddle points correspond to transition states. How do we search for a comprehensive graph of possible transition states? I will introduce a general numerical method that constructs the solution landscape, a pathway map of stationary points, starting from a saddle point all the way down to multiple minima. The key idea, downward search, provides convenience for finding multiple transition states systematically. We develop an efficient saddle dynamics method to implement downward search and find saddle points. Several numerical applications will be presented to demonstrate its effectiveness, including liquid crystal molecular equilibrium distribution of the Onsager model, phase transitions in Landau-type phase-field crystal models, and vortex states of Bose-Einstein condensates.