Topological Aspect and Bifurcation of Disclination Lines in Two—Dimensional Liquid Crystals  

作　　者：YANGGuo－Hong ZHANGHui 等 

机构地区：[1]DepartmentofPhysics,ShanghaiUniversity,Shanghai200436,China [2]DepartmentofChemistry,ShanghaiUniversity,Shanghai200436,China

出　　处：《Communications in Theoretical Physics》2002年第5期513-518,共6页理论物理通讯（英文版）

基　　金：上海市教委资助项目

摘　　要：Using φ-mapping method and topological current theory, the topological structure and bifurcation ofdisclination lines in two-dimensional liquid crystals are studied. By introducing the strength density and the topologicalcurrent of many disclination lines, the total disclination strength is topologically quantized by the Hopf indices andBrouwer degrees at the singularities of the director field when the Jacobian determinant of director field does not vanish.When the Jacobian determinant vanishes, the origin, annihilation and bifurcation processes of disclination lines arestudied in the neighborhoods of the limit points and bifurcation points, respectively. The branch solutions at the limitpoint and the different directions of all branch curves at the bifurcation point are calculated with the conservation lawof the topological quantum numbers. It is pointed out that a disclination line with a higher strength is unstable and itwill evolve to the lower strength state through the bifurcation process.

关 键 词：topological current winding number director field disclination line 

分 类 号：O753.2[理学—晶体学]