Validity of the scaling functional approach for polymer interfaces as a variational theory

TL;DR

This paper validates the scaling functional approach as a variational theory for polymer interfaces, highlighting its role as a bridge between ground-state and classical polymer brush theories.

Contribution

It demonstrates that the scaling functional approach is a variational theory, clarifying its theoretical foundation and its connection to other polymer interface models.

Findings

The SF approach is confirmed as a variational theory.

It links ground-state theories with classical polymer brush theories.

Provides a theoretical basis for the SF method in polymer interface modeling.

Abstract

We discuss the soundness of the scaling functional (SF) approach proposed by Aubouy Guiselin and Raphael (Macromolecules 29, 7261 (1996)) to describe polymeric interfaces. In particular, we demonstrate that this approach is a variational theory. We emphasis the role of SF theory as an important link between ground-state theories suitable to describe adsorbed layers, and "classical" theories for polymer brushes.