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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
Published on: September 26, 2016
Translocation of a heterogeneous polymer
Stephen Mirigian1, Yanbo Wang, Murugappan Muthukumar
1Department of Polymer Science and Engineering, University of Massachusetts, Amherst, Massachusetts 01003, USA.
We studied how partially charged polymer chains move through pores, finding that charge distribution significantly impacts translocation speed. A surprising threshold charge fraction exists for diblock copolymers, beyond which translocation success rate becomes constant.
Area of Science:
- Polymer physics
- Biophysics
- Statistical mechanics
Background:
- Understanding polymer translocation through nanopores is crucial for applications like DNA sequencing and drug delivery.
- The kinetics of polymer translocation are influenced by various factors including pore size, polymer properties, and external fields.
- Heteropolymers, with varying monomer properties, present complex translocation dynamics compared to homogeneous polymers.
Purpose of the Study:
- To investigate the sequence dependence of translocation kinetics for partially charged heteropolymers through a narrow pore.
- To analyze the influence of charge fraction, charge distribution, and electric field on translocation behavior.
- To compare theoretical predictions with Langevin dynamics simulations for accuracy.
Main Methods:
- Theoretical analysis employing exact analytical expressions for passage probability and mean first passage times.
- Langevin dynamics simulations to model the translocation process.
- Investigation of different boundary conditions (reflecting/absorbing and absorbing/absorbing).
Main Results:
- Analytical expressions derived for passage probability and mean first passage times.
- Excellent qualitative and good quantitative agreement between theoretical models and simulation results.
- Identified a threshold charge fraction for diblock copolymers where translocation success rate plateaus.
- Observed non-monotonic behavior in mean successful translocation time with increasing charged block length.
- Demonstrated that finer charge distribution along the backbone significantly reduces mean translocation time.
Conclusions:
- The translocation kinetics of partially charged heteropolymers are highly sensitive to charge fraction and distribution.
- A critical charge fraction exists for diblock copolymers, simplifying translocation success rate prediction.
- Optimal charge block lengths can minimize or maximize translocation rates, offering control over the process.
- Finer charge distribution is a key factor in accelerating heteropolymer translocation, regardless of total charge.
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