Supersymmetry theory of microphase separation in homopolymer-oligomer mixtures

The mesoscopic structure of periodically alternating layers of stretched homopolymer chains surrounded by perpendicularly oriented oligomeric tails was studied for systems exhibiting both strong and weak interactions. The distribution of oligomers along the homopolymer chains, described by the effective equations of motion with the segment number playing the role of imaginary line was investigated. A supersymmetry technique was developed to consider the associative hydrogen bonding, self action effects and temperature fluctuations in the oligomer distribution. The temperature dependence of the structure period and the order-disorder transition temperature were studied as functions of the oligomeric fraction for systems with different bonding lengths.