Ordering in Stretched Bernoullian Copolymers

Abstract

AbstractA new approach is suggested to estimate the theoretical maximum capability to order for stretched Bernoullian copolymers AB, provided interchain AB contacts are unfavorable. A simple Monte Carlo procedure simulating the ordering of such copolymers via rotation of ring‐shaped chains reveals the capability to order even for quite long copolymer chains. The analytical probabilistic consideration is elaborated, which enables one to interpret the ordering via rotation in terms of a sliding of periodic Bernoullian chains. Using both the probabilistic analysis and Monte Carlo simulations it is shown that estimations of a capability to order given by the rotation procedure are also good for a sliding of true Bernoullian copolymers. Therefore, the simple Monte Carlo procedure seems suitable for estimating ordering in other classes of copolymers for which an analytical approach is more complicated. Such estimations might be useful for a consideration of various properties of irregular copolymers connected with their tendency to order.Ordering by rotation of rings. As an example, an ordering for M = 10 000 chains of length N = 20 and composition p = 0.50 (p is the mole fraction of A units) is shown. See text.imageOrdering by rotation of rings. As an example, an ordering for M = 10 000 chains of length N = 20 and composition p = 0.50 (p is the mole fraction of A units) is shown. See text.