Abstract
We review recent advances in rectification control of artificial microswimmers, also known as Janus particles, diffusing along narrow, periodically corrugated channels. The swimmer self-propulsion mechanism is modeled so as to incorporate a nonzero torque (propulsion chirality). We first summarize the effects of chirality on the autonomous current of microswimmers freely diffusing in channels of different geometries. In particular, left-right and upside-down asymmetric channels are shown to exhibit different transport properties. We then report new results on the dependence of the diffusivity of chiral microswimmers on the channel geometry and their own self-propulsion mechanism. The self-propulsion torque turns out to play a key role as a transport control parameter.
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For a review see: P.S. Burada, P. Hänggi, F. Marchesoni, G. Schmid, P. Talkner, Chem. Phys. Chem. 10, 45 (2009)
P. Hänggi, F. Marchesoni, Rev. Mod. Phys. 81, 387 (2009)
S. Denisov, S. Flach, P. Hänggi, Phys. Rep. 538, 77 (2014)
P.K. Ghosh, V.R. Misko, F. Marchesoni, F. Nori, Phys. Rev. Lett. 110, 268301 (2013)
E.M. Purcell, Am. J. Phys. 45, 3 (1977)
F. Schweitzer, Brownian Agents and Active Particles (Springer, Berlin, 2003)
S. Ramaswamy, Annu. Rev. Condens. Matter Phys. 1, 323 (2010)
T. Vicsek, A. Zafeiris, Phys. Rep. 517, 71 (2012)
P. Romanczuk, M. Bär, W. Ebeling, B. Lindner, L. Schimansky-Geier, Eur. Phys. J. Special Topics 202, 1 (2012)
S. Jiang, S. Granick (eds.), Janus Particle Synthesis, Self-Assembly and Applications (RSC Publishing, Cambridge, 2012)
A. Walther, A.H.E. Müller, Chem. Rev. 113, 5194 (2013)
W.F. Paxton, S. Sundararajan, T.E. Mallouk, A. Sen, Angew. Chem. Int. Ed. 45, 5420 (2006)
J.G. Gibbs, Y.-P. Zhao, Appl. Phys. Lett. 94, 163104 (2009)
J.R. Howse, R.A.L. Jones, A.J. Ryan, T. Gough, R. Vafabakhsh, R. Golestanian, Phys. Rev. Lett. 99, 048102 (2007)
G. Volpe, I. Buttinoni, D. Vogt, H.-J. Kümmerer, C. Bechinger, Soft Matter 7, 8810 (2011)
H.R. Jiang, N. Yoshinaga, M. Sano, Phys. Rev. Lett. 105, 268302 (2010)
L. Baraban, R. Streubel, D. Makarov, L. Han, D. Karnaushenko, O.G. Schmidt, G. Cuniberti, ACS Nano 7, 1360 (2013)
see, e.g., Y. Hong, D. Velegol, N. Chaturvedi, A. Sen, Phys. Chem. Chem. Phys. 12, 1823 (2010)
A. Búzás, L. Kelemen, A. Mathesz, L. Oroszi, G. Vizsnyiczai, T. Vicsek, P. Ormos, Appl. Phys. Lett. 101, 041111 (2012)
S. van Teeffelen, H. Löwen, Phys. Rev. E 78, 020101 (2008)
B.M. Friedrich, F. Jülicher, Phys. Rev. Lett. 103, 068102 (2009)
C.J. Brokaw, J. Exp. Biol. 35, 197 (1958)
C.J. Brokaw, J. Cell. Comp. Physiol. 54, 95 (1959)
M. Mijalkov, G. Volpe, Soft Matter 9, 6376 (2013)
F. Kümmel, B. ten Hagen, R. Wittkowski, I. Buttinoni, R. Eichhorn, G. Volpe, H. Löwen, C. Bechinger, Phys. Rev. Lett. 110, 198302 (2013)
A. Boymelgreen, G. Yossifon, S. Park, T. Miloh, Phys. Rev. E 89, 011003(R) (2014)
A. Sen, M. Ibele, Y. Hong, D. Velegol, Faraday Discuss. 143, 15 (2009)
A. Zöttl, H. Stark, Phys. Rev. Lett. 108, 218104 (2012)
P.K. Radtke, L. Schimansky-Geier, Phys. Rev. E 85, 051110(R) (2012)
T.R. Kline, W.F. Paxton, T.E. Mallouk, A. Sen, Angew. Chem. Int. Ed. 44, 744 (2005)
B. ten Hagen, S. van Teeffelen, H. Löwen, J. Phys.: Condens. Matter 23, 194119 (2011)
S.E. Spagnolie, E. Lauga, J. Fluid Mech. 700, 105 (2012)
M. Ripoll, P. Holmqvist, R.G. Winkler, G. Gompper, J.K.G. Dhont, M.P. Lettinga, Phys. Rev. Lett. 101, 168302 (2008)
I. Buttinoni, J. Bialkè, F. Kümmel, H. Löwen, C. Bechinger, T. Speck, Phys. Rev. Lett. 110, 238301 (2013)
D. Takagi, J. Palacci, A.B. Braunschweig, M.J. Shelley, J. Zhang, Soft Matter 10, 1784 (2014)
P.K. Ghosh, P. Hänggi, F. Marchesoni, F. Nori, G. Schmid, Europhys. Lett. 98, 50002 (2012)
P.K. Ghosh, P. Hänggi, F. Marchesoni, F. Nori, G. Schmid, Phys. Rev. E 86, 021112 (2012)
H. Brenner, D.A. Edwards, Macrotransport Processes (Butterworth-Heinemann, New York, 1993)
P.K. Ghosh, P. Hänggi, F. Marchesoni, F. Nori, Phys. Rev. E 89, 062115 (2014)
Y. Li, P.K. Ghosh, F. Marchesoni, B. Li (submitted) (2014)
Y. Fily, A. Baskaran, M.F. Hagan [arXiv:1402.5583] [cond-mat.soft]
A. Fick, Ann. Phys. Chem. 94, 59 (1855)
M.H. Jacobs, Diffusion processes (Springer, New York, 1967)
R. Zwanzig, J. Phys. Chem. 96, 3926 (1992)
L. Machura, M. Kostur, P. Talkner, J. Luczka, F. Marchesoni, P. Hänggi, Phys. Rev. E 70, 061105 (2004)
Y. Fily, M.C. Marchetti, Phys. Rev. Lett. 108, 235702 (2012)
P.S. Burada, G. Schmid, D. Reguera, J.M. Rubi, P. Hänggi, Phys. Rev. E 75, 051111 (2007)
L. Bosi, P.K. Ghosh, F. Marchesoni, J. Chem. Phys. 137, 174110 (2012)
F. Marchesoni, S. Savel’ev, Phys. Rev. E 80, 011120 (2009)
details are given in the PhD thesis of Xue Ao (Augsburg University, in preparation)
M. Borromeo, F. Marchesoni, Chem. Phys. 375, 536 (2010)
M. Borromeo, F. Marchesoni, P.K. Ghosh, J. Chem. Phys 134, 051101 (2011)
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Ao, X., Ghosh, P., Li, Y. et al. Active Brownian motion in a narrow channel. Eur. Phys. J. Spec. Top. 223, 3227–3242 (2014). https://doi.org/10.1140/epjst/e2014-02329-1
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DOI: https://doi.org/10.1140/epjst/e2014-02329-1