标题： 七重、十四重、九重和十八重对称准晶体的弹性与流体力学 显示英文标题

标题： Elasticity and hydrodynamics of quasicrystals with 7-, 14-, 9- and 18-fold symmetries

摘要： 这封信报告了固态相中具有7重、14重、9重和18重对称性的准晶体的弹性理论和流体力学，其中使用了6维嵌入空间的概念。 基于该概念和Landau-Anderson对称性破缺原理以及Lubensky流体力学，建立了上述准晶体系统的控制方程，同时也讨论了该方程初边值问题的求解过程。 尽管讨论仅针对准晶体，特别是其中18重对称性的准晶体，但在固态相中，这可能为最近观察到的软物质相提供基础。 显示英文摘要

摘要： This letter reports theory of elasticity and hydrodynamics of quasicrystals with 7-, 14-, 9- and 18-fold symmetries in solid phase, in which the 6-dimensional embedding space concept is used. Based on the concept and the Landau-Anderson symmetry breaking principle and the Lubensky hydrodynamics, the governing equations for the above quasicrystal systems have been set up, the solving procedure for the initial-boundary value problems of the equations is discussed as well. Though the discussion is concerned only for the quasicrystals, in particular for one of 18-fold symmetry, in solid phase, it may be a basis for those in soft matter phase observed recently.