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arXiv · 2508.15485

Polymer translocation through extended patterned pores in two dimensions: scaling of the total translocation time

Andri Sharma·Abhishek Chaudhuri·Rajeev Kapri
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Abstract

We study the translocation of a flexible polymer through extended patterned pores using molecular dynamics (MD) simulations. We consider cylindrical and conical pore geometries that can be controlled by the angle of the pore apex $\alpha$. We obtained the average translocation time $\langle \tau \rangle$ for various chain lengths $N$ and the length of the pores $L_p$ for various values $\alpha$ and found that $\langle \tau \rangle$ scales as $\langle \tau \rangle \sim N^\gamma \mathcal{F}\left( L_p N^\phi \right)$ with exponents $\gamma = 3.00\pm0.05$ and $\phi = 1.50\pm0.05$ for both patterned and unpatterned pores.

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Andri Sharma, Abhishek Chaudhuri, Rajeev Kapri. 2025-08-21. Polymer translocation through extended patterned pores in two dimensions: scaling of the total translocation time. https://arxiv.org/abs/2508.15485

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