We minimize a discrete version of the fourth-order curvature-based Landau free energy by extending Brakke's Surface Evolver. This model predicts spherical as well as non-spherical shapes with dimples, bumps and ridges to be the energy minimizers. Our results suggest that the buckling and faceting transitions, usually associated with crystalline matter, can also be an intrinsic property of non-crystalline membranes.
机构:
Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
Nanjing Normal Univ, Sch Math Sci, Nanjing 210097, Jiangsu, Peoples R ChinaTianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
Pei, Ruichang
Zhang, Jihui
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Nanjing Normal Univ, Sch Math Sci, Nanjing 210097, Jiangsu, Peoples R ChinaTianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
机构:
Univ Buenos Aires, Dept Matemat, Cuidad Univ, RA-1428 Buenos Aires, DF, ArgentinaUniv Buenos Aires, Dept Matemat, Cuidad Univ, RA-1428 Buenos Aires, DF, Argentina
Amster, Pablo
Juengel, Ansgar
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TU Wien, Inst Anal & Sci Comp, A-1040 Vienna, AustriaUniv Buenos Aires, Dept Matemat, Cuidad Univ, RA-1428 Buenos Aires, DF, Argentina
Juengel, Ansgar
Matthes, Daniel
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Univ Pavia, Dipartimento Matemat, I-27100 Pavia, ItalyUniv Buenos Aires, Dept Matemat, Cuidad Univ, RA-1428 Buenos Aires, DF, Argentina