| 초록 |
Various theoretical tools have been developed for the purpose of modeling the physical behavior of polymers. One of the most prominent tools studying the mean field behavior of polymers is the self-consistent field theory incorporating the Gaussian chain model. Such a model essentially assumes that polymers are long enough to be treated as Gaussian chains. In reality, there are various applications such as polymer brush coated particles and amphiphilic polymer systems which utilize short polymers. With a proper modification, self-consistent field theory can gain the ability to identify such finite-length effects. Here, I will demonstrate one simple but very useful method in which the partition function of N monomer connected polymers is evaluated through N – 1 successive integrals. This method is extremely flexible in that one still has the freedom to choose monomer connection models, such as freely-jointed chain, beads-spring, worm-like chain and even the Gaussian chain model. |
