Shape analysis of random polymer networks

Abstract

We analyze conformational properties of branched polymer structures, formed on the base of Erdös-Rényi random graph model. We consider networks with N = 5 vertices and variable parameter c, that controls graph connectedness. The universal rotationally invariant size and shape characteristics, such as averaged asphericity A 3 and size ratio g of such structures are obtained both numerically by application of Wei's method and analytically within the continuous chain model. In particular, our results quantitatively indicate an increase of asymmetry of polymer network structure when its connectedness c decreases.

Structure formation in binary polymer systems: Short-time dynamics and dynamics of crosslinked systems

“…Numerous studies on network structure and elasticity can be found in the literature [81,99,101,[135][136][137][138][139][140][141][142]. In this study, I apply the particle-based Monte-Carlo simulation SOMA to study gelation and microphase separation of randomly crosslinked symmetric diblock copolymers for various crosslink densities and preparation conditions.…”