5 papers
Nucleation and phase transition of spherical crystals and quasicrystals
Tiejun Zhou, Aibei Xie, Gang Cui +3
We investigated the nucleation, growth, and solid-to-solid phase transition processes of spherical six-fold symmetric crystals (C6) and ten-fold symmetric quasicrystals (DQC) using…
Minimum energy paths for defect annihilation in finite dodecagonal quasicrystal clusters
Rong Liu, Gang Cui, Tiejun Zhou +3
Defect repair in quasicrystals involves local structural rearrangements on a complex potential energy landscape. Here, we combine the string method with the spring pair method to c…
Nullspace-preserving high-index saddle dynamics method for degenerate multiple solution problems
Kai Jiang, Lei Zhang, Xiangcheng Zheng +1
We propose the nullspace-preserving high-index saddle dynamics (NPHiSD) method for degenerating multiple solution systems in constrained and unconstrained settings. The NPHiSD effi…
A spring pair method of finding saddle points using the minimum energy path as a compass
Gang Cui, Kai Jiang
Finding index-1 saddle points is crucial for understanding phase transitions. In this work, we propose a simple yet efficient approach, the spring pair method (SPM), to accurately…
An efficient saddle search method for ordered phase transitions involving translational invariance
Gang Cui, Kai Jiang, Tiejun Zhou
In this work, we propose an efficient nullspace-preserving saddle search (NPSS) method for a class of phase transitions involving translational invariance, where the critical state…