你英文的问题是次要的,如第一句里连用两个with.你所谓的上、下、主体整个就是不知所云.你要表达什么呢?一个学科内不同方法、理论和应用的关系,怎么分出的上下来呢?再说,哪个科学领域不是理论、实验、计算机模拟三种方法共用的呢?你的最后一句话不是废话吗?
给你把英文改了改,按照主流的科学认识重新组合了一下：
The field of soft matter physics has great potential for new discoveries,with useful applications such as liquid crystal and non-crystalline materials at one end of the topics and pure theories such as the phase theory and the complex system theory at the other end.Connecting these diverse topics is a large body of research utilizing the combination of theoretical analysis,computer simulation and experimentation.