4 papers · 1 filter
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)].…
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…
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…
The shape memory effect and minimal surfaces
Mengdi Yin, Dimitri D. Vvedensky
Martensitic transformations, viewed as continuous transformations between triply periodic minimal surfaces (TPMS), as originally proposed by Hyde and Andersson [Z. Kristallogr. 174…