New statistical approach to the description of spatial inhomogeneous states in heteropolymer solutions

(Received 7 January 1992, accepted in final form 12 August 1992)

Abstract
It is shown that the free energy of polymer systems is a nonlocal functional of the distribution of monomer density, unlike usual low-molecular systems. A general statistical approach is proposed, which takes into account corresponding nonlocal effects for the polymers containing macromolecules of various chemical composition and chemical structure. The phase diagram is set up for solutions of linear heteropolymers, alternation of monomer units in the macromolecules of which obey Markovian statistics. it is shown that a melt of the Markovian multi-block copolymers undergoes a third-order phase transition to superstructure with symmetry of body-centered cubic lattice whose period depends essentially on the parameters of monomer units interactions.