Effective zero-thickness model for a conductive membrane driven by an electric field

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 3, 2010, Pages

  Ziebert, Falko ^a   Bazant, Martin Z ^b   Lacoste, David ^a  

^a Centre National de la Recherche Scientifique   (France)

^b Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPACITIVE EFFECT; CHARGE ACCUMULATION; CONDUCTIVE MEMBRANES; DEBYE LAYER; ELECTROCHEMICAL SYSTEMS; FLUID FLOW; FLUID MEMBRANE; INDUCED CHARGES; NON-EQUILIBRIUM STEADY STATE; SUPPORTED MEMBRANE; THICKNESS APPROXIMATIONS; THICKNESS MODEL;

ELASTIC MODULI; ELECTRIC FIELDS; ELECTRIC POTENTIAL; FLOW OF FLUIDS;

MEMBRANES;

EID: 77949376314     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.031912     Document Type: Article

References (51)

1. U. Seifert, Adv. Phys. 46, 13 (1997). 10.1080/00018739700101488
2. D. Andelman, Handbook of Biological Physics, edited by, R. Lipowsky, and, E. Sackmann, (Elsevier, Amsterdam, 1995), Vol. 1A.
3. E. Neumann, A. E. Sowers, and C. A. Jordan, Electroporation and Electrofusion in Cell Biology (Plenum Press, New York, 1989).
4. B. Hille, Ion Channels of Excitable Membranes (Sinauer Press, Sunderland, 2001).
5. J. Prost and R. Bruinsma, Europhys. Lett. 33, 321 (1996). 10.1209/epl/i1996-00340-1
6. S. Ramaswamy, J. Toner, and J. Prost, Phys. Rev. Lett. 84, 3494 (2000). 10.1103/PhysRevLett.84.3494
7. J. B. Manneville, P. Bassereau, D. Lévy, and J. Prost, Phys. Rev. Lett. 82, 4356 (1999). 10.1103/PhysRevLett.82.4356
8. J. B. Manneville, P. Bassereau, S. Ramaswamy, and J. Prost, Phys. Rev. E 64, 021908 (2001). 10.1103/PhysRevE.64.021908
9. M. D. El Alaoui Faris, D. Lacoste, J. Pécréaux, J. F. Joanny, J. Prost, and P. Bassereau, Phys. Rev. Lett. 102, 038102 (2009). 10.1103/PhysRevLett.102.038102
10. N. Gov, Phys. Rev. Lett. 93, 268104 (2004). 10.1103/PhysRevLett.93.268104
11. S. Sankararaman, G. I. Menon, and P. B. Sunil Kumar, Phys. Rev. E 66, 031914 (2002). 10.1103/PhysRevE.66.031914
12. H.-Y. Chen, Phys. Rev. Lett. 92, 168101 (2004). 10.1103/PhysRevLett.92. 168101
13. M. A. Lomholt, Phys. Rev. E 73, 061913 (2006) 10.1103/PhysRevE.73.061913
14. M. A. Lomholt, Phys. Rev. E 73, 061914 (2006). 10.1103/PhysRevE.73.061914
15. D. Lacoste, M. Cosentino Lagomarsino, and J.-F. Joanny, Europhys. Lett. 77, 18006 (2007). 10.1209/0295-5075/77/18006
16. D. Lacoste, G. I. Menon, M. Z. Bazant, and J. F. Joanny, Eur. Phys. J. E 28, 243 (2009). 10.1140/epje/i2008-10433-1
17. R. J. Hunter, Foundations of Colloid Science (Oxford University Press, Oxford, 2001).
18. A. Ajdari, Phys. Rev. E 61, R45 (2000) 10.1103/PhysRevE.61.R45
19. A. González, A. Ramos, N. G. Green, A. Castellanos, and H. Morgan, Phys. Rev. E 61, 4019 (2000). 10.1103/PhysRevE.61.4019
20. M. Z. Bazant and T. M. Squires, Phys. Rev. Lett. 92, 066101 (2004). 10.1103/PhysRevLett.92.066101
21. T. Ambjörnsson, M. A. Lomholt, and P. L. Hansen, Phys. Rev. E 75, 051916 (2007). 10.1103/PhysRevE.75.051916
22. V. Kumaran, Phys. Rev. E 64, 011911 (2001) 10.1103/PhysRevE.64.011911
23. R. M. Thaokar and V. Kumaran, Phys. Rev. E 66, 051913 (2002) 10.1103/PhysRevE.66.051913
24. V. Kumaran, Phys. Rev. Lett. 85, 4996 (2000). 10.1103/PhysRevLett.85.4996
25. M. Leonetti, E. Dubois-Violette, and F. Homblé, Proc. Natl. Acad. Sci. U.S.A. 101, 10243 (2004). 10.1073/pnas.0402335101
26. P.-C. Zhang, A. M. Keleshian, and F. Sachs, Nature (London) 413, 428 (2001). 10.1038/35096578
27. P. Sens and H. Isambert, Phys. Rev. Lett. 88, 128102 (2002). 10.1103/PhysRevLett.88.128102
28. D. Constantin, C. Ollinger, M. Vogel, and T. Salditt, Eur. Phys. J. E 18, 273 (2005). 10.1140/epje/e2005-00028-7
29. S. Lecuyer, G. Fragneto, and T. Charitat, Eur. Phys. J. E 21, 153 (2006). 10.1140/epje/i2006-10054-8
30. V. A. Murtsovkin, Colloid J. 58, 341 (1996)
31. V. A. Murtsovkin, [Kolloidn. Zh. 58, 358 (1996)].
32. T. M. Squires and M. Z. Bazant, J. Fluid Mech. 509, 217 (2004). 10.1017/S0022112004009309
33. M. Staykova, R. Lipowsky, and R. Dimova, Soft Matter 4, 2168 (2008). 10.1039/b811876k
34. P. M. Vlahovska, R. S. Graci, S. Aranda-Espinoza, and R. Dimova, Biophys. J. 96, 4789 (2009). 10.1016/j.bpj.2009.03.054
35. P. Peterlin, S. Svetina, and B. Zeks, J. Phys.: Condens. Matter 19, 136220 (2007). 10.1088/0953-8984/19/13/136220
36. R. Dimova, Soft Matter 3, 817 (2007). 10.1039/b703580b
37. M. Z. Bazant, K. T. Chu, and B. J. Bayly, SIAM J. Appl. Math. 65, 1463 (2005) 10.1137/040609938
38. K. T. Chu and M. Z. Bazant, SIAM J. Appl. Math. 65, 1485 (2005). 10.1137/040609926
39. F. Divet, G. Danker, and C. Misbah, Phys. Rev. E 72, 041901 (2005). 10.1103/PhysRevE.72.041901
40. M. Z. Bazant, M. S. Kilic, B. D. Storey, and A. Ajdari, Adv. Colloid Interface Sci. 152, 48 (2009). 10.1016/j.cis.2009.10.001
41. M. Z. Bazant, K. Thornton, and A. Ajdari, Phys. Rev. E 70, 021506 (2004). 10.1103/PhysRevE.70.021506
42. P. M. Biesheuvel, M. van Soestbergen, and M. Z. Bazant, Electrochim. Acta 54, 4857 (2009). 10.1016/j.electacta.2009.03.073
43. E. M. Itskovich, A. A. Kornyshev, and M. A. Vorotyntsev, Phys. Status Solidi A 39, 229 (1977). 10.1002/pssa.2210390126
44. A. Bonnefont, F. Argoul, and M. Bazant, J. Electroanal. Chem. 500, 52 (2001). 10.1016/S0022-0728(00)00470-8
45. S. Chatkaew and M. Léonetti, Eur. Phys. J. E 17, 203 (2005) 10.1140/epje/i2005-10008-8
46. M. Léonetti and E. Dubois-Violette, Phys. Rev. Lett. 81, 1977 (1998). 10.1103/PhysRevLett.81.1977
47. T. Bickel, Phys. Rev. E 75, 041403 (2007). 10.1103/PhysRevE.75.041403
48. F. Brochard and J. F. Lennon, J. Phys. (Paris) 36, 1035 (1975). 10.1051/jphys:0197500360110103500
49. A. J. Levine and F. C. MacKintosh, Phys. Rev. E 66, 061606 (2002). 10.1103/PhysRevE.66.061606
50. J. Daillant, Proc. Natl. Acad. Sci. U.S.A. 102, 11639 (2005). 10.1073/pnas.0504588102
51. J. S. Rowlinson and B. Widom, Molecular Theory of Capillarity (Oxford University Press, Oxford, 1982).