Polymer is a molecule with high molecular weight consisting of many small repeated units (or be called monomer). Polymers in binary mixture solvent belong to the class of multicomponent system and present a fundamental interest. They show peculiar properties near the critical region. The critical point will shift to another point and critical exponents also change to another value. The polymer structure and its location has different change when the temperature decrease over the critical point gradually. In chapter one, Introduction, the history of polymer development will be mentioned and the briefly properties of binary mixture are also be mentioned. In chapter two, Theoretical and Experimental Backgrounds, the mathematical properties will be mentioned to realize some polymer physics. The critical phenomenon is also an important background. In chapter three, The Simulation Method, we will study how to simulate the dynamical system in the computer and our system–binary mixture with linear polymers – will also be introduced. In chapter four, Result and Discussions, we will analyse our data and try to explain the physical mechanism in the system.