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Diffusion on ruffled membrane surfaces.

Ali Naji¹, Frank L H Brown

¹Department of Physics, University of California, Santa Barbara, California 93106-9530, USA.

The Journal of Chemical Physics

|June 30, 2007

Summary

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We developed a Langevin equation and algorithm to predict particle diffusion coefficients on rough surfaces. Static roughness shows good agreement with area-scaling predictions, while dynamic fluctuations increase diffusion.

Area of Science:

Statistical Physics
Soft Matter Physics
Biophysics

Background:

Particle motion on surfaces is crucial in various physical and biological systems.
Understanding diffusion on rough or dynamic surfaces presents significant theoretical challenges.

Purpose of the Study:

To develop a numerical method for predicting effective diffusion coefficients on rough 2D surfaces.
To investigate the impact of static and dynamic surface roughness on particle diffusion.

Main Methods:

Formulation of a position Langevin equation for overdamped particle motion.
Implementation of a Brownian dynamics algorithm for numerical simulations.
Analysis of particle diffusion on static and thermally fluctuating elastic membranes.

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Main Results:

Numerical results for static roughness exhibit quantitative agreement with area-scaling predictions.
Surface fluctuations enhance effective diffusivity, approaching an annealed-surface limit.
Protein motion on cell surfaces likely involves diverse physical regimes.

Conclusions:

The developed model accurately predicts diffusion on static rough surfaces.
Dynamic surface evolution significantly impacts particle diffusivity.
A universal approximation scheme for protein motion on cell surfaces is not feasible.