The Single Chain Mean Field approach


This presentation we summarise the main developments of the so-called Single Chain Mean Field theory as we have applied to the problem of polymer adsorption. Although the approach is mean field, it preserves the excluded volume correlations along the chains. The agreement with the Monte Carlo simulations makes our approach a promising tool for the analysis of larger and more complex systems.

We have also applied the SCMF method to the analysis of the self-aggregation of surfactant molecules to form micelles. A preliminary analysis permits to describe a sphere to rod transition in some surfactant structures.

The reader is addressed to the publication list for more details.


Table of contents

The Single Chain Mean Field approach

Statistical Mechanics of polymers (i).

Statistical Mechanics of polymers (ii).

Formulation of the SCMF method (i)

Formulation of the SCMF method (ii)

Formulation of the SCMF method (iii)

Formulation of the SCMF method (iv)

Formulation of the SCMF method (v)

Results

Molecular model

Bulk polymer properties

Structure of the adsorbed layer (i)

Structure of the adsorbed layer (ii)

Comparison with MC simulations (i)

Comparison with MC simulations (ii)

Comparison of MC with SCMF with SAW and Gaussian chains

Conclusions