ABSTRACT For Dupin cyclides in the SmA liquid crystal phase, Kleman and Lavrentovich  found that increasing the saddle-splay constant K¯ caused the minimum of the total elastic energy to occur at a decreased value of the eccentricity e, close to unity. We extend this work to the parabolic cyclides and present an analytical expression for the total elastic energy that is finite over a suitable range of values for the latus rectum, conventionally denoted in this context by −4ℓ (>0). The length of the latus rectum characterises the parabolic focal conic structure analogously to the eccentricity of the Dupin cyclide focal conics. We demonstrate that the total energy is minimised at a particular value of ℓ. It is further observed that the usual saddle-splay elastic term acts independently of ℓ and that varying the value of K¯ does not affect the actual value of ℓ at which the minimum of the elastic energy occurs.
Minimum Of Elastic Energy Total Elastic Energy Dupin Cyclide Focal Conic Total Energy Latus Rectum Focal Conics Minimum Of Energy Energy Considerations Elastic Energy
AI-powered Research feed
Introducing Weekly Round-ups!Beta
Round-ups are the summaries of handpicked papers around trending topics published every week. These would enable you to scan through a collection of papers and decide if the paper is relevant to you before actually investing time into reading it.
Climate change Research Articles published between Sep 19, 2022 to Sep 25, 2022
Sep 26, 2022
Articles Included: 5
Disaster Prevention and Management ISSN: 0965-3562 Article publication date: 20 September 2022 This paper applies the theory of cascading, interconnec...Read More
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on “as is” basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The Copyright Law.