Abstract
A scallop-like swimmer going back-and-forth (reciprocal motion) does not produce any net motility. We discuss a similar artificial microswimmer that is powered by magnetic fields. In the presence of thermal noise, the helical swimmer exhibits enhanced diffusivity during reciprocal actuation. The external magnetic drive can be further modified to break the reciprocity. Equipped with only the information on swimmer trajectories and orientations, we discuss quantitative methods to estimate the degree of reciprocity and non-reciprocity in such scenarios. The paper proposes a quantitative measure and validates the same with numerical simulations, further supported by experiments.
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References
E.M. Purcell, Life at low reynolds number. Am. J. Phys. 45(1), 3–11 (1977)
L. Turner, W.S. Ryu, H.C. Berg, Real-time imaging of fluorescent flagellar filaments. J. Bacteriol. 182(10), 2793–2801 (2000)
C.J. Brokaw, Microtubule sliding in swimming sperm flagella: direct and indirect measurements on sea urchin and tunicate spermatozoa. J. Cell Biol. 114(6), 1201–1215 (1991)
G.A. Ozin, I. Manners, S. Fournier-Bidoz, A. Arsenault, Dream nanomachines. Adv. Mater. 17(24), 3011–3018 (2005)
S. Ramaswamy, The mechanics and statistics of active matter. Annu. Rev. Condens. Matter Phys. 1(1), 323–345 (2010)
M.C. Marchetti, J.F. Joanny, S. Ramaswamy, T.B. Liverpool, J. Prost, M. Rao, R.A. Simha, Hydrodynamics of soft active matter. Rev. Mod. Phys. 85(3), 1143 (2013)
C. Bechinger, R. Di Leonardo, H. Löwen, C. Reichhardt, G. Volpe, G. Volpe, Active particles in complex and crowded environments. Rev. Modern Phys. 88(4), 045,006 (2016)
B.J. Nelson, I.K. Kaliakatsos, J.J. Abbott, Microrobots for minimally invasive medicine. Annu. Rev. Biomed. Eng. 12, 55–85 (2010)
T. Qiu, M. Jeong, R. Goyal, V.M. Kadiri, J. Sachs, P. Fischer, in Field-Driven Micro and Nanorobots for Biology and Medicine (Springer, 2022), pp. 389–411
R. Vasantha Ramachandran, R. Bhat, D. Kumar Saini, A. Ghosh, Theragnostic nanomotors: Successes and upcoming challenges. Wiley Interdisciplinary Reviews: Nanomedicine and Nanobiotechnology 13(6), e1736 (2021)
J. Li, B.E.F. de Ávila, W. Gao, L. Zhang, J. Wang, Micro/nanorobots for biomedicine: Delivery, surgery, sensing, and detoxification. Sci. Robot.2(4), eaam6431 (2017)
D. Dasgupta, D. Pally, D.K. Saini, R. Bhat, A. Ghosh, Nanomotors sense local physicochemical heterogeneities in tumor microenvironments. Angew. Chem. Int. Ed. 59(52), 23690–23696 (2020)
M. Pal, N. Somalwar, A. Singh, R. Bhat, S.M. Eswarappa, D.K. Saini, A. Ghosh, Maneuverability of magnetic nanomotors inside living cells. Adv. Mater. 30(22), 1800,429 (2018)
P.L. Venugopalan, R. Sai, Y. Chandorkar, B. Basu, S. Shivashankar, A. Ghosh, Conformal cytocompatible ferrite coatings facilitate the realization of a nanovoyager in human blood. Nano Lett. 14(4), 1968–1975 (2014)
D. Dasgupta, S.S. Peddi MDS, D.K. Saini, A. Ghosh, Mobile nanobots for prevention of root canal treatment failure. Adv. Healthcare Mater. p. 2200232 (2022)
S. Ghosh, A. Ghosh, Mobile nanotweezers for active colloidal manipulation. Sci. Robot. 3(14) (2018)
A. Ghosh, D. Dasgupta, M. Pal, K.I. Morozov, A.M. Leshansky, A. Ghosh, Helical nanomachines as mobile viscometers. Adv. Funct. Mater. 28(25), 1705,687 (2018)
W.F. Paxton, K.C. Kistler, C.C. Olmeda, A. Sen, S.K. St. Angelo, Y. Cao, T.E. Mallouk, P.E. Lammert, V.H. Crespi, Catalytic nanomotors: autonomous movement of striped nanorods. J. Am. Chem. Soc. 126(41), 13,424–13,431 (2004)
K.K. Dey, X. Zhao, B.M. Tansi, W.J. Méndez-Ortiz, U.M. Córdova-Figueroa, R. Golestanian, A. Sen, Micromotors powered by enzyme catalysis. Nano Lett. 15(12), 8311–8315 (2015)
S. Gangwal, O.J. Cayre, M.Z. Bazant, O.D. Velev, Induced-charge electrophoresis of metallodielectric particles. Phys. Rev. Lett. 100(5), 058,302 (2008)
H.R. Jiang, N. Yoshinaga, M. Sano, Active motion of a janus particle by self-thermophoresis in a defocused laser beam. Phys. Rev. Lett. 105(26), 268,302 (2010)
A. Ghosh, P. Fischer, Controlled propulsion of artificial magnetic nanostructured propellers. Nano Lett. 9(6), 2243–2245 (2009)
P. Fischer, A. Ghosh, Magnetically actuated propulsion at low reynolds numbers: towards nanoscale control. Nanoscale 3(2), 557–563 (2011)
R. Dreyfus, J. Baudry, M.L. Roper, M. Fermigier, H.A. Stone, J. Bibette, Microscopic artificial swimmers. Nature 437(7060), 862–865 (2005)
B. Jang, E. Gutman, N. Stucki, B.F. Seitz, P.D. Wendel-García, T. Newton, J. Pokki, O. Ergeneman, S. Pané, Y. Or et al., Undulatory locomotion of magnetic multilink nanoswimmers. Nano Lett. 15(7), 4829–4833 (2015)
P. Mandal, A. Ghosh, Observation of enhanced diffusivity in magnetically powered reciprocal swimmers. Phys. Rev. Lett. 111(24), 248,101 (2013)
E. Lauga, Enhanced diffusion by reciprocal swimming. Phys. Rev. Lett. 106(17), 178,101 (2011)
G. Patil, A. Ghosh, Anomalous behavior of highly active helical swimmers. Front. Phys. 8, 656 (2020)
G. Patil, P. Mandal, A. Ghosh, Using thermal ratchet mechanism to achieve net motility in magnetic microswimmers. arXiv preprint arXiv:2205.05116 (2022)
R.D. Astumian, I. Derényi, Fluctuation driven transport and models of molecular motors and pumps. Eur. Biophys. J. 27(5), 474–489 (1998)
T. Qiu, T.C. Lee, A.G. Mark, K.I. Morozov, R. Münster, O. Mierka, S. Turek, A.M. Leshansky, P. Fischer, Swimming by reciprocal motion at low reynolds number. Nat. Commun. 5(1), 1–8 (2014)
T.D. Montenegro-Johnson, D.J. Smith, D. Loghin, Physics of rheologically enhanced propulsion: different strokes in generalized stokes. Phys. Fluids 25(8), 081,903 (2013)
H.C. Fu, C.W. Wolgemuth, T.R. Powers, Swimming speeds of filaments in nonlinearly viscoelastic fluids. Phys. Fluids 21(3), 033,102 (2009)
M.M. Hawkeye, M.J. Brett, Glancing angle deposition: fabrication, properties, and applications of micro-and nanostructured thin films. J. Vacuum Sci. Technol. A: Vacuum Surf. Films 25(5), 1317–1335 (2007)
A. Ghosh, D. Paria, H.J. Singh, P.L. Venugopalan, A. Ghosh, Dynamical configurations and bistability of helical nanostructures under external torque. Phys. Rev. E 86(3), 031,401 (2012)
A. Ghosh, P. Mandal, S. Karmakar, A. Ghosh, Analytical theory and stability analysis of an elongated nanoscale object under external torque. Phys. Chem. Chem. Phys. 15(26), 10817–10823 (2013)
R.D. Astumian, Thermodynamics and kinetics of a brownian motor. Science 276(5314), 917–922 (1997)
P. Reimann, Brownian motors: noisy transport far from equilibrium. Phys. Rep. 361(2–4), 57–265 (2002)
P. Mandal, V. Chopra, A. Ghosh, Independent positioning of magnetic nanomotors. ACS Nano 9(5), 4717–4725 (2015)
A. Ghosh, D. Paria, G. Rangarajan, A. Ghosh, Velocity fluctuations in helical propulsion: how small can a propeller be. J. Phys. Chem. Lett. 5(1), 62–68 (2014)
K.I. Morozov, A.M. Leshansky, The chiral magnetic nanomotors. Nanoscale 6(3), 1580–1588 (2014)
A. Neild, J.T. Padding, L. Yu, B. Bhaduri, W.J. Briels, T.W. Ng, Translational and rotational coupling in brownian rods near a solid surface. Phys. Rev. E 82(4), 041,126 (2010)
Y. Han, A.M. Alsayed, M. Nobili, J. Zhang, T.C. Lubensky, A.G. Yodh, Brownian motion of an ellipsoid. Science 314(5799), 626–630 (2006)
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We gratefully acknowledge DBT, SERB and MeiTY for funding support, and the usage of the facilities in the Micro and Nano Characterization Facility and National Nano Fabrication Centre (CeNSE) at IISc.
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Patil, G., Ghosh, A. Analysing the motion of scallop-like swimmers in a noisy environment. Eur. Phys. J. Spec. Top. 232, 927–933 (2023). https://doi.org/10.1140/epjs/s11734-022-00728-x
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DOI: https://doi.org/10.1140/epjs/s11734-022-00728-x