3 papers
cond-mat.mtrl-sci2026
Defect annihilation mechanism in the formation of dodecagonal quasicrystals
Rong Liu, Gang Cui, Tiejun Zhou +1
Understanding defect evolution is essential to the structural stability of quasicrystals, yet the kinetics of defect repair remain poorly understood. Here, by combining the string…
math.NA2025
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…
math-ph2024
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…