INERTIAL FRACTAL SET AND FRACTAL STRUCTURE OF ATTRACTORS FOR THE GINZBURG-LANDAN EQUATION

This paper proves that the Ginzburg-Landan partial differential equation admits an inertial fractal set whose fractal dimension is finite. Purthermore, We produce an exponentially approximating Sequence of localizing compact fractal sets and a fractal structure of the attractor.

三维介观超导环的涡旋结构

在Ginzburg-Landan理论的框架下,运用有限差分法研究了在圆环电流产生磁场下的介观超导圆环内的涡旋结构,讨论了超导圆环尺寸和不同空间分布的磁场对涡旋形成的影响,得到在一般超导圆环体内的基态多是巨涡旋态、而多涡旋态多以激发态形式存在的结论,说明磁场一般从超导圆环的环孔穿过,而很难穿过超导圆环体.

Ginzburg—Landan模型动量空间重整化群的微扰图形方法

本文用动量空间重整化群方法处理G—L模型,累积展开用到微扰图形方法,使计算大为减化。得到G—L模型动量空间重整化群累积展开至二级的临界指数。