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Translocation through environments with time dependent mobility.

Jack A Cohen¹, Abhishek Chaudhuri, Ramin Golestanian

¹The Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom. j.cohen@physics.ox.ac.uk

The Journal of Chemical Physics

|December 5, 2012

Summary

This study analyzes how changing environments affect particle and polymer translocation times. We developed models to predict frequency response, finding good agreement for small polymers at low frequencies.

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Area of Science:

Physics
Physical Chemistry
Statistical Mechanics

Background:

Particle and polymer translocation are fundamental processes in physics and biology.
Environmental factors, such as changing frictional properties, can significantly influence translocation dynamics.
Observed frequency-responsive behavior in polymers passing through oscillating pores motivates this study.

Purpose of the Study:

To develop a general framework for analyzing the frequency response of translocation time in changing environments.
To investigate the impact of time-dependent frictional properties on single particle and polymer translocation.
To provide exact solutions for translocation dynamics under specific conditions.

Main Methods:

Construction of general diffusive and non-diffusive frequency response models.
Derivation of exact expressions for translocation gain in two-state confinement scenarios.
Application of the Fokker-Planck equation for analyzing time-dependent mobility effects.

Main Results:

Exact expressions for diffusive and non-diffusive gain were found for single particles in two-state confinement.
The model shows good agreement for small polymers at low oscillation frequencies.
Deviations from the model occur for longer polymers and at higher frequencies.

Conclusions:

The developed frequency response models accurately describe particle and polymer translocation in time-varying environments.
Time-dependent mobility in polymer translocation can be solved exactly using Fokker-Planck equation manipulations.
This work provides insights into the frequency-dependent dynamics of translocation processes.