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Mechanism of Locomotion of Synthetic Nanomotors in a Viscous Fluid

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Abstract

A mechanism of nanomotor locomotion in a surrounding viscous fluid containing charged particles is considered. In contrast to a mechanism proposed in the literature, according to which nanomotor locomotion is induced by a concentration gradient of certain type particles produced by asymmetric chemical or electrochemical reactions occurring on the nanomotor surface, we hypothesize that nanomotor locomotion can be driven by hydrodynamic interactions in the case of identical concentrations of different-sized ions. To justify the hypothesis, the dynamics of a nanomotor surrounded by a viscous fluid is studied using the diffusion model of electrohydrodynamics and, additionally, the model of a dipolar aggregate surrounded by a cloud of equally but oppositely charged fine particles of different sizes is considered. It is assumed that the total charge of all fine particles is zero and the oppositely charged particles have identical concentrations in the ambient fluid. Computations have confirmed that the nanomotor can move in this case. The direction and speed of the motion depend substantially on both the distribution of the particles in the surrounding fluid and on their sizes. Symmetry breaking in the particle distribution gives rise to a velocity component perpendicular to the dipolar moment direction. In the case of the chemical or electrochemical mechanism of ion formation, symmetry breaking in the ion distribution can be caused by symmetry violations in the nanomotor shape or by possible impurities participating in the reaction, so, to control the nanomotor motion, an external field orienting the nanomotor in the prescribed direction has to be applied. The proposed mechanism of nanomotor locomotion can be used to control mass transfer in colloidal suspensions.

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Article Open access 10 November 2016

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REFERENCES

  1. C. Montemagno, G. Bachand, S. Stelick, and M. Bachand, “Constructing biological motor powered nanomechanical devices,” Nanotechnology 10, 225–231 (1999).

    Article  Google Scholar 

  2. W. Gao and J. Wang, “Synthetic micro/nanomotors in drug delivery,” Nanoscale 6, 10486–10494 (2014). https://doi.org/10.1039/c4nr03124e

    Article  Google Scholar 

  3. X. Li, Y.-M. Sun, Z.-Y. Zhang, N.-X. Feng, H. Song, Y.-L. Liu, L. Hai, J.-M. Cao, and G. P. Wang, “Visible light-driven multi-motion modes CNC/TiO2 nanomotors for highly efficient degradation of emerging contaminants,” Carbon 155, 195–203 (2019). https://doi.org/10.1016/j.carbon.2019.08.039

    Article  Google Scholar 

  4. W. F. Paxton, A. Sen, and T. E. Mallouk, “Motility of catalytic nanoparticles through self-generated forces,” Chemistry 11 (22), 6462–6470 (2005). https://doi.org/10.1002/chem.200500167

    Article  Google Scholar 

  5. W. F. Paxton, P. T. Baker, T. R. Kline, Y. Wang, T. E. Mallouk, and A. Sen, “Catalytically induced electrokinetics for motors and micropumps,” J. Am. Chem. Soc. 128 (46), 14881–14888 (2006). https://doi.org/10.1021/ja0643164

    Article  Google Scholar 

  6. Y. Wang, R. M. Hernandez, D. J. Bartlett, J. M. Bingham, T. R. Kline, A. Sen, and T. E. Mallouk, “Bipolar electrochemical mechanism for the propulsion of catalytic nanomotors in hydrogen peroxide solutions,” Langmuir 22 (25), 10451–10456 (2006). https://doi.org/10.1021/la0615950

    Article  Google Scholar 

  7. U. M. Cordova-Figueroa and J. F. Brady, “Osmotic propulsion: The osmotic motor,” Phys. Rev. Lett. 100, 158303 (2008). https://doi.org/10.1103/PhysRevLett.100.158303

    Article  Google Scholar 

  8. T. Vissers, A. van Blaaderen, and A. Imhof, “Band formation in mixtures of oppositely charged colloids driven by an AC electric field,” Phys. Rev. Lett. 106 (22), 228303 (2011). https://doi.org/10.1103/PhysRevLett.106.228303

    Article  Google Scholar 

  9. R. Dreyfus, J. Baudry, M. L. Roper, M. Fermigier, H. A. Stone, and J. Bibette, “Microscopic artificial swimmers,” Nature 437, 862–865 (2005). https://doi.org/10.1038/nature04090

    Article  MATH  Google Scholar 

  10. S. Ahmed, W. Wang, L. O. Mair, R. Fraleigh, S. Li, L. A. Castro, and T. E. Mallouk, “Steering acoustically propelled nanowire motors toward cells in a biologically compatible environment using magnetic fields,” Langmuir 29 (52), 16113–16118 (2013). https://doi.org/10.1021/la403946j

    Article  Google Scholar 

  11. B. Robertsona and R. Kapral, “Nanomotor dynamics in a chemically oscillating medium,” J. Chem. Phys. 142 (15), 1063 (2015). https://doi.org/10.1063/1.4918329

    Article  Google Scholar 

  12. V. M. Rozenbaum, M. L. Dekhtyar, S. H. Lin, and L. I. Trakhtenberg, “Photoinduced diffusion molecular transport,” J. Chem. Phys. 145 (6), 1063 (2016). https://doi.org/10.1063/1.4960622

    Article  Google Scholar 

  13. J. L. Moran, P. M. Wheat, and J. D. Posner, “Locomotion of electrocatalytic nanomotors due to reaction induced charge autoelectrophoresis,” Phys. Rev. E 81 (6), 065302 (2010). https://doi.org/10.1103/PhysRevE.81.065302

    Article  Google Scholar 

  14. J. L. Moran and J. D. Posner, “Electrokinetic locomotion due to reaction-induced charge auto-electrophoresis,” J. Fluid Mech. 680, 31–66 (2011). https://doi.org/10.1017/jfm.2011.132

    Article  MathSciNet  MATH  Google Scholar 

  15. P. Mitchell, “Hypothetical thermokinetic and electrokinetic mechanisms of locomotion in microorganisms, Proc. R. Phys. Soc. Edinburgh 25, 32–34 (1956).

  16. A. I. Zhakin, “Electrohydrodynamics,” Phys. Usp. 55 (5), 465–488 (2012). https://doi.org/10.3367/UFNe.0182.201205b.0495

    Article  Google Scholar 

  17. S. I. Martynov and L. Yu. Tkach, “Mechanism of moving particle aggregates in a viscous fluid subjected to a varying uniform external field,” Comput. Math. Math. Phys. 59 (3), 475–483 (2019). https://doi.org/10.1134/S0044466919030128

    Article  MathSciNet  MATH  Google Scholar 

  18. S. S. Batsanov, Experimental Foundations of Structural Chemistry (Izd. Standartov, Moscow, 1986) [in Russian].

    Google Scholar 

  19. S. I. Martynov, “Hydrodynamic interaction of particles,” Fluid Dyn. 33, 245–251 (1998).

    Article  MathSciNet  Google Scholar 

  20. S. I. Martynov and L. Yu. Tkach, “Simulation of particle aggregate dynamics in a viscous fluid,” Comput. Math. Math. Phys. 55 (2), 282–290 (2015). https://doi.org/10.7868/S0044466915020143

    Article  MathSciNet  MATH  Google Scholar 

  21. S. I. Martynov and L. Yu. Tkach, “On a model of dynamics of particle aggregates self-moving in a viscous fluid,” Nelin. Din. 12 (4), 605–618 (2016). https://doi.org/10.20537/nd1604005

    Article  MATH  Google Scholar 

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 18-41-860002/18.

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  1. Surgut State University, 628412, Surgut, Russia

    S. I. Martynov & L. Yu. Tkach

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  1. S. I. Martynov
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  2. L. Yu. Tkach
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Correspondence to S. I. Martynov or L. Yu. Tkach.

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Translated by I. Ruzanova

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Martynov, S.I., Tkach, L.Y. Mechanism of Locomotion of Synthetic Nanomotors in a Viscous Fluid. Comput. Math. and Math. Phys. 60, 1913–1922 (2020). https://doi.org/10.1134/S0965542520110081

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