3 papers
cond-mat.mtrl-sci2025
Topology and Martensitic Phase Transformations
M. Yin, D. D. Vvedensky
Triply periodic minimal surfaces (TPMS) are discovered to conform to surfaces of given charge density distributions embedded in crystals [Z. Kristallogr. \textbf{170}, 138 (1985)].…
cond-mat.mtrl-sci2025
Charge Densities and Triply-Periodic Minimal Surfaces in Crystalline Materials
Mengdi Yin, Dimitri D. Vvedensky
The relationship between surfaces of constant charge density and triply-periodic minimal surfaces (TPMS) has been the subject of considerable speculation over many years. Zero-pote…
cond-mat.mtrl-sci2025
Density-Functional Theory and Triply-Periodic Minimal Surfaces
Mengdi Yin, Jing Zhang, Dimitri D Vvedensky
Several authors have suggested that the surfaces of vanishing potential generated by the electrostatic fields from a distribution of point charges resemble triply periodic minimal…