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Full-Text Articles in Physical Sciences and Mathematics
Curvature Energy Of A Focal Conic Domain With Arbitrary Eccentricity, Maurice Kleman, Oleg Lavrentovich
Curvature Energy Of A Focal Conic Domain With Arbitrary Eccentricity, Maurice Kleman, Oleg Lavrentovich
Oleg Lavrentovich
The most frequently observed focal conic domains (FCD’s) in lamellar phases are those based on confocal paris of ellipse and hyperbola. Experimentally, the eccentricity of the ellipse takes a broad range of values 0<~eeisolated FCD reaches a minimum only at e⃗1 (under the constraint of a fixed major semiaxis of the ellipse); exceptions include situations with large saddle-splay elastic constant and small domains where the applicability of the elastic theory is limited. In realistic cases, a value of eccentricity smaller than 1 is stabilized by factors other than the curvature energy: by dislocations emerging from the FCD’s …
Designing Dupin Cyclides In Micro And Macro Worlds, Oleg Lavrentovich
Designing Dupin Cyclides In Micro And Macro Worlds, Oleg Lavrentovich
Oleg Lavrentovich
No abstract provided.