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Investigating Single Molecule Adhesion by Atomic Force Spectroscopy

Investigating Single Molecule Adhesion by Atomic Force Spectroscopy

Published on: February 27, 2015

Adsorption kinetics of a single polymer on a solid plane.

S Bhattacharya¹, A Milchev, V G Rostiashvili

¹Max Planck Institute for Polymer Research, 10 Ackermannweg, Mainz, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|July 23, 2008

Summary

This study models macromolecule adsorption kinetics on surfaces, revealing a "zipping" mechanism that dictates polymer behavior. Findings show adsorbed segment fractions grow via a power law, consistent across various polymer types.

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Area of Science:

Polymer Science and Engineering
Surface Science and Adsorption Phenomena
Computational Physics and Chemistry

Background:

Understanding macromolecule adsorption is crucial for materials science and nanotechnology.
Existing models often simplify the complex kinetics and conformational changes during adsorption.
The 'stem-flower' conformation and 'zipping' mechanism offer a new perspective on polymer adsorption.

Purpose of the Study:

To analytically and computationally investigate the adsorption kinetics of single macromolecules.
To model the 'zipping' mechanism and its impact on polymer adsorption dynamics.
To develop a theoretical framework applicable to homopolymers, multiblock copolymers, and random copolymers.

Main Methods:

Analytical treatment using a Fokker-Planck equation with reflecting boundary conditions.
Off-lattice bead-spring dynamic Monte Carlo (MC) simulation model.
Numerical solution of discrete coupled differential equations.

Main Results:

The mean fraction of adsorbed segments follows a power law growth with time, (1+nu)-1, where nu is the Flory exponent (approx. 3/5).
Predicted exponential relationship for the instantaneous distribution of train lengths.
Derived probability distribution functions (PDFs) for loops and tails, showing agreement between theoretical predictions and MC simulations.

Conclusions:

The 'stem-flower' conformation and 'zipping' mechanism provide a robust model for strong physisorption kinetics.
The theoretical model accurately predicts adsorption behavior for various polymer architectures, including copolymers.
This work offers a unified approach to understanding macromolecule adsorption dynamics on flat substrates.