ar X iv : c on d - m at / 0 00 24 07 v 1 [ co nd - m at . s

Abstract

We have mapped the physics of polymer melts onto a time-dependent LandauGinzburg |ψ|4 field theory using techniques of functional integration. Time in the theory is simply a label for the location of a given monomer along the extent of a flexible chain. With this model, one can show that the limit of infinitesimal concentration of a polymer melt corresponds to a dynamic critical phenomenon. The transition to the entangled state is also shown to be a critical point. For larger concentrations, when the role of fluctuations is reduced, a mean field approximation is justifiably employed to show the existence of tube-like structures reminiscent of Edwards’ model. Typeset using REVTEX

Cite this paper

@inproceedings{Chitanvis2008arXI, title={ar X iv : c on d - m at / 0 00 24 07 v 1 [ co nd - m at . s}, author={Shirish M. Chitanvis}, year={2008} }