Genericity conjecture for disclination-line energy concentration
Genericity conjecture for disclination-line energy concentration
In the Landau–de Gennes model, let point defects and disclination lines be the two defect forms, with excessive energy concentrated near the defects. Energy-concentration genericity conjecture. Disclination lines are a more generic way for energy concentration than point defects. The conjecture reflects the observed preference for forming a -disclination line as an efficient way to reduce the total energy cost, but the source does not state a resolution.
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Primary source
Yucheng Hu, Yang Qu and Pingwen Zhang, “On the Disclination Lines of Nematic Liquid Crystals”, arXiv:1408.6191 (2014).
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