Field-theoretical approach to a dense polymer with an ideal binary mixture of clustering centers

Details Field-theoretical approach to a dense polymer with an ideal binary mixture of clustering centers Field-theoretical approach to a dense polymer with an ideal binary mixture of clustering centers

2011-06-29

arxiv.org/abs/1106.6076v1

Physics

Condensed Matter

Materials Science

27 pages, 9 figures, accepted on Phys. Rev. E

Scientific paper

We propose a field-theoretical approach to a polymer system immersed in an ideal mixture of clustering centers. The system contains several species of these clustering centers with different functionality, each of which connects a fixed number segments of the chain to each other. The field-theory is solved using the saddle point approximation and evaluated for dense polymer melts using the Random Phase Approximation. We find a short-ranged effective inter-segment interaction with strength dependent on the average segment density and discuss the structure factor within this approximation. We also determine the fractions of linkers of the different functionalities.

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