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Deterministic lateral displacement (DLD) at the nanoscale is challenging due to diffusion. This study introduces a method to quantify diffusion

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Area of Science:

  • Physics
  • Engineering
  • Biomedical Engineering

Background:

  • Deterministic lateral displacement (DLD) is crucial for nanoparticle manipulation in biomedical applications.
  • Scaling DLD to the nanoscale is limited by diffusion and Brownian motion, creating an uncertainty region.
  • This uncertainty region causes a coexistence of displacement and zigzag modes, hindering precise control.

Purpose of the Study:

  • To investigate the influence of diffusion on nanoscale deterministic lateral displacement (DLD).
  • To develop a quantitative method for determining the uncertainty region boundaries in nanoscale DLD.
  • To provide design guidelines for reliable nanoscale DLD systems.

Main Methods:

  • Developed a two-dimensional finite-element model coupling fluid dynamics, solid mechanics, and Brownian forces.
  • Utilized first-passage theory to analyze the impact of Brownian motion on particle trajectories.
  • Introduced zero-crossing time of Y-direction velocity as a measure of Brownian influence.

Main Results:

  • Diffusion significantly influences particle trajectories near zero-velocity points, inducing zigzag motion.
  • A quantitative method based on zero-crossing time thresholds was proposed to define the uncertainty region.
  • The study successfully modeled diffusion-induced mode transitions in nanoscale DLD.

Conclusions:

  • The developed numerical approach offers new insights into diffusion-induced mode transitions in nanoscale DLD.
  • The proposed method provides a quantitative framework for understanding and designing nanoscale DLD systems.
  • This research facilitates the development of more precise nanoparticle sorting and enrichment technologies.