We show the existence of a resonant behavior of the current of Brownian particles confined in a pulsating channel. The interplay between the periodic oscillations of the shape of the channel and a force applied along its axis leads to an increase of the particle current as a function of the diffusion coefficient. A regime of current inversion is also observed for particular values of the oscillation frequency and the applied force. The model proposed is based on the Fick-Jacobs equation in which the entropic barrier and the effective diffusion coefficient depend on time. The phenomenon observed could be used to optimize transport in microfluidic devices or biological channels.
REFERENCES
- 1. W. Suginta and M. F. Smith, Phys. Rev. Lett. 110, 238102 (2013). https://doi.org/10.1103/physrevlett.110.238102, Google ScholarCrossref
- 2. L. Brun, M. Pastoriza-Gallego, G. Oukhaled, J. Mathé, L. Bacri, L. Auvray, and J. Pelta, Phys. Rev. Lett. 100, 158302 (2008). https://doi.org/10.1103/physrevlett.100.158302, Google ScholarCrossref, CAS
- 3. C. Kreuter, U. Siems, P. Nielaba, P. Leiderer, and A. Erbe, Eur. Phys. J.: Spec. Top. 22(11), 2923–2939 (2013). https://doi.org/10.1140/epjst/e2013-02067-x, Google ScholarCrossref
- 4. Z. Siwy, I. D. Kosińska, A. Fuliński, and C. R. Martin, Phys. Rev. Lett. 94, 048102 (2005). https://doi.org/10.1103/physrevlett.94.048102, Google ScholarCrossref, CAS
- 5. P. Malgaretti, I. Pagonabarraga, and J. M. Rubi, J. Chem. Phys. 138, 194906 (2013). https://doi.org/10.1063/1.4804632, Google ScholarScitation, ISI
- 6. P. Malgaretti, I. Pagonabarraga, and J. M. Rubi, Front. Phys. 1, 21 (2013). https://doi.org/10.3389/fphy.2013.00021, Google ScholarCrossref
- 7. P. Malgaretti, I. Pagonabarraga, and J. M. Rubi, Eur. Phys. J.: Spec. Top. 223(14), 3295-3309 (2014). https://doi.org/10.1140/epjst/e2014-02334-4, Google ScholarCrossref
- 8. L. Liu, P. Li, and S. A. Asher, Nature 397, 141–144 (1999). https://doi.org/10.1038/16426, Google ScholarCrossref
- 9. R. Zwanzig, J. Phys. Chem. 96, 3926 (1992). https://doi.org/10.1021/j100189a004, Google ScholarCrossref, CAS
- 10. D. Reguera and J. M. Rubí, Phys. Rev. E 64, 061106 (2001). https://doi.org/10.1103/physreve.64.061106, Google ScholarCrossref, CAS
- 11. P. S. Burada, G. Schmid, D. Reguera, J. M. Rubí, and P. Hänggi, Phys. Rev. E 75(5), 051111 (2007). https://doi.org/10.1103/physreve.75.051111, Google ScholarCrossref, CAS
- 12. L. Dagdug, A. M. Berezhkovskii, Y. A. Makhnovskii, V. Y. Zitserman, and S. M. Bezrukov, J. Chem. Phys. 136(21), 214110 (2012). https://doi.org/10.1063/1.4726193, Google ScholarScitation
- 13. E. Muñoz-Gutiérrez, J. Alvarez-Ramirez, L. Dagdug, and G. Espinosa-Paredes, J. Chem. Phys. 136, 114103 (2012). https://doi.org/10.1063/1.3693332, Google ScholarScitation, CAS
- 14. R. Verdel, L. Dagdug, A. M. Berezhkovskii, and S. M. Bezrukov, J. Chem. Phys. 144, 084106 (2016). https://doi.org/10.1063/1.4942470, Google ScholarScitation
- 15. U. Gerland, R. Bundschuh, and T. Hwa, Phys. Biol. 1, 19 (2004). https://doi.org/10.1088/1478-3967/1/1/002, Google ScholarCrossref, CAS
- 16. R. Bundschuh and U. Gerland, Phys. Rev. Lett. 95, 208104 (2005). https://doi.org/10.1103/physrevlett.95.208104, Google ScholarCrossref
- 17. U. F. Keyser, B. N. Koeleman, S. Van Dorp, D. Krapf, R. M. M. Smeets, S. G. Lemay, N. H. Dekker, and C. Dekker, Nat. Phys. 2, 473 (2006). https://doi.org/10.1038/nphys344, Google ScholarCrossref, CAS
- 18. V. Kukla, J. Kornatowski, D. Demuth, I. Girnus et al., Science 272(5262), 702 (1996). https://doi.org/10.1126/science.272.5262.702, Google ScholarCrossref, CAS
- 19. J. Miekisz, J. Gomulkiewicz, and S. Miekisz, Math. Appl. 42(1), 39–62 (2014). https://doi.org/10.14708/ma.v42i1.469, Google ScholarCrossref
- 20. G. M. Makhlouf and K. S. Murthy, Cell. Signalling 9, 269 (1997). https://doi.org/10.1016/s0898-6568(96)00180-5, Google ScholarCrossref, CAS
- 21. A. Bergner and M. J. Sanderson, J. Gen. Physiol. 119, 187 (2002). https://doi.org/10.1085/jgp.119.2.187, Google ScholarCrossref, CAS
- 22. T. J. Moriarty, M. U. Norman, P. Colarusso, T. Bankhead, P. Kubes, and G. Chaconas, PLoS Pathog. 4, 1000090 (2008). https://doi.org/10.1371/journal.ppat.1000090, Google ScholarCrossref
- 23. M. A. Dias and T. R. Powers, Phys. Fluids 25, 101901 (2013). https://doi.org/10.1063/1.4825137, Google ScholarScitation
- 24. P. Nagarani and G. Sarojamma, Australas. Phys. Eng. Sci. Med. 30(3), 185 (2007). https://doi.org/10.1007/bf03178425, Google ScholarCrossref, CAS
- 25. Y. Mao, S. Chang, S. Yang, Q. Ouyang, and L. Jiang, Nat. Nanotechnol. 2, 366–371 (2007). https://doi.org/10.1038/nnano.2007.148, Google ScholarCrossref, CAS
- 26. P. Hänggi and F. Marchesoni, Rev. Mod. Phys. 81, 387 (2009). https://doi.org/10.1103/revmodphys.81.387, Google ScholarCrossref, CAS
- 27. P. Hänggi, F. Marchesoni, and F. Nori, Ann. Phys. 14(1-3), 51 (2005). https://doi.org/10.1002/andp.200410121, Google ScholarCrossref
- 28. P. Kalinay, Phys. Rev. E 84, 011118 (2011). https://doi.org/10.1103/physreve.84.011118, Google ScholarCrossref
- 29. H. Ding, H. Jiang, and Z. Hou, J. Chem. Phys. 143, 244119 (2015). https://doi.org/10.1063/1.4939081, Google ScholarScitation
- 30. H. Ding, H. Jiang, and Z. Hou, J. Chem. Phys. 142, 194109 (2015). https://doi.org/10.1063/1.4921372, Google ScholarScitation
- 31. P. Reiman, Phys. Rep. 361, 57 (2002). https://doi.org/10.1016/S0370-1573(01)00081-3, Google ScholarCrossref
- 32. D. Lairez, M.-C. Clochard, and J.-E. Wegrowe, Sci. Rep. 6, 38966 (2016). https://doi.org/10.1038/srep38966, Google ScholarCrossref, CAS
- 33. C. Dalle-Ferrier, M. Krüger, R. D. L. Hanes, S. Walta, M. C. Jenkins, and S. U. Egelhaaf, Soft Matter 7, 2064 (2011). https://doi.org/10.1039/c0sm01051k, Google ScholarCrossref, CAS
- 34. B. J. Lopez, N. J. Kuwada, E. M. Craig, B. R. Long, and H. Linke, Phys. Rev. Lett. 101, 220601 (2008). https://doi.org/10.1103/physrevlett.101.220601, Google ScholarCrossref
- 35. T. Motz, G. Schmid, P. Hänggi, D. Reguera, and J. M. Rubí, J. Chem. Phys. 141, 074104 (2014). https://doi.org/10.1063/1.4892615, Google ScholarScitation, CAS
- 36. D. Reguera, A. Luque, P. S. Burada, G. Schmid, J. M. Rubí, and P. Hänggi, Phys. Rev. Lett. 108, 020604 (2012). https://doi.org/10.1103/physrevlett.108.020604, Google ScholarCrossref, CAS
- 37. D. Reguera and J. M. Rubi, Eur. Phys. J.: Spec. Top. 223, 3079 (2014). https://doi.org/10.1140/epjst/e2014-02320-x, Google ScholarCrossref
- 38. R. Bartussek and P. Hänggi, “Nonlinear physics of complex systems,” Lect. Notes Phys. 476, 294–308 (2007). https://doi.org/10.1007/BFb0105423, Google ScholarCrossref