Binding kinetics of harmonically confined random walkers.

Area of Science:

• Physics
• Chemistry
• Nanotechnology

Background:

• Diffusion-mediated binding is common in confined systems with external fields.
• Understanding binding dynamics is crucial for nanoscale communication and computation.

Purpose of the Study:

• To derive analytical expressions for mean binding times of confined random walkers.
• To apply this theory to optimize communication speed in DNA walkers.

Main Methods:

• Derivation of analytical expressions for mean binding time.
• Geometric confinement using harmonic potentials in 1D and 2D systems.
• Comparison with Brownian dynamics simulations and experimental data.

Main Results:

• Analytical expressions show excellent agreement with Brownian dynamics simulations.
• The theory successfully maximizes communication speed in DNA walkers.
• Quantitative agreement with previous experimental findings was achieved.

Conclusions:

• The derived analytical expressions are broadly applicable to diverse confined systems.
• This work provides a method to characterize communication processes at the nanoscale.
• The findings enable optimization of signal propagation rates for sensing and computing.