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Abstract <p>Numerical simulation and analytical methods have been used to study electrophoresis of a&#xa0;dielectric particle having a hydrophobic surface and high surface conductivity. The results demonstrate that, in a moderate electric field and at high surface charge density, particle velocity increases and the contribution of surface conductivity considerably exceeds that of the slip length. A formula has been analytically derived for the mobility of a hydrophobic particle, which comprises three terms: (1)&#xa0;the linear term in the Helmholtz–Smoluchowski well-known relation, (2) a term representing the contribution of the hydrophobic surface, and (3) the surface conductivity contribution due to the high surface charge density. We present results for a small and a large slip length, corresponding to micro- and nanoparticles. Comparison of the numerical and analytical solutions we obtained demonstrates good agreement between the two approaches used.</p>

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Electrophoresis of Highly Charged Hydrophobic Micro- and Nanoparticles

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • E. A. Frants,
  • E. N. Kalaidin,
  • A. A. Krylov,
  • E. A. Demekhin

摘要

Abstract

Numerical simulation and analytical methods have been used to study electrophoresis of a dielectric particle having a hydrophobic surface and high surface conductivity. The results demonstrate that, in a moderate electric field and at high surface charge density, particle velocity increases and the contribution of surface conductivity considerably exceeds that of the slip length. A formula has been analytically derived for the mobility of a hydrophobic particle, which comprises three terms: (1) the linear term in the Helmholtz–Smoluchowski well-known relation, (2) a term representing the contribution of the hydrophobic surface, and (3) the surface conductivity contribution due to the high surface charge density. We present results for a small and a large slip length, corresponding to micro- and nanoparticles. Comparison of the numerical and analytical solutions we obtained demonstrates good agreement between the two approaches used.