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VOLUME 60 (1994) | ISSUE 4 | PAGE 277
Nematic phase transition in entangled directed polymers
A Flory-type mean-field theory of a nematic phase transition in the system of nonphantom, entangled, directed polymers has been elaborated. According to the conjectures expressed by Grosberg and Nechaev [Europhys. Lett. 20, 613 (1992)], the "link complexity" of the chains is characterized by the highest power of the Jones invariant for the corresponding closed braid. The phase diagram is presented in the coordinates the "link complexity" versus the ordering interaction constant. The order of the phase transition is shown to be different for "weakly" and "strongly" entangled chains. © 1994 American institute of Physics.