2012/09/28 by Tian You Fan, Fan, Tian You
Earth and Planetary Sciences · Materials Science · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mineralogy and Gemology Studies #Quasicrystal Structures and Properties
paper · pdf · doi:10.48550/arxiv.1210.0069
openalex publication_date 2012/09/28 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
This letter reports theory of elasticity and hydrodynamics of quasicrystals\nwith 7-, 14-, 9- and 18-fold symmetries in solid phase, in which the\n6-dimensional embedding space concept is used. Based on the concept and the\nLandau-Anderson symmetry breaking principle and the Lubensky hydrodynamics, the\ngoverning equations for the above quasicrystal systems have been set up, the\nsolving procedure for the initial-boundary value problems of the equations is\ndiscussed as well. Though the discussion is concerned only for the\nquasicrystals, in particular for one of 18-fold symmetry, in solid phase, it\nmay be a basis for those in soft matter phase observed recently.\n