This review firstly introduces two low energy heavy ion reaction mechanisms. Then, based on these theories, we have developed a dinuclear system model describing the synthesis of super heavy nuclear. Different from Adamian’s calculation method, we solve the master equation numerically to describe the heavy ion fusion mechanism. This review chooses 1D to 3D different macroscopic degrees of freedom to illustrate the fusion of heavy ions, focusing on the development and evolution of the master equation during the fusion process, and providing a theoretical basis for further development of models and predictions of new nuclides in the future.