Asymptotic current-voltage relations for currents exceeding the diffusion limit

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

Volumn 80, Issue 5, 2009, Pages

  Yariv, Ehud ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT-VOLTAGE RELATIONS; DIFFUSION LIMITS; REGULARIZATION SCHEMES;

DIFFUSION;

CURRENT VOLTAGE CHARACTERISTICS;

EID: 70449669187     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.051201     Document Type: Article

References (31)

1. I. Rubinstein and B. Zaltzman, Phys. Rev. E 62, 2238 (2000). 10.1103/PhysRevE.62.2238
2. I. Rubinstein and B. Zaltzman, Math. Models Meth. Appl. Sci. 11, 263 (2001). 10.1142/S0218202501000866
3. D. Stein, M. Kruithof, and C. Dekker, Phys. Rev. Lett. 93, 035901 (2004). 10.1103/PhysRevLett.93.035901
4. S. J. Kim, Y. C. Wang, J. H. Lee, H. Jang, and J. Han, Phys. Rev. Lett. 99, 044501 (2007). 10.1103/PhysRevLett.99.044501 (Pubitemid 47173188)
5. G. Yossifon and H.-C. Chang, Phys. Rev. Lett. 101, 254501 (2008). 10.1103/PhysRevLett.101.254501
6. G. Yossifon, P. Mushenheim, Y. C. Chang, and H. -C. Chang, Phys. Rev. E 79, 046305 (2009). 10.1103/PhysRevE.79.046305
7. N. Takami, T. Ohsaki, H. Hasebe, and M. Yamamoto, J. Electrochem. Soc. 149, A9 (2002). 10.1149/1.1420704 (Pubitemid 34307107)
8. V. Barcilon, D.-P. Chen, and R. S. Eisenberg, SIAM J. Appl. Math. 52, 1405 (1992). 10.1137/0152081
9. E. M. Itskovich, A. A. Kornyshev, and M. A. Vorotyntsev, Phys. Status Solidi A 39, 229 (1977). 10.1002/pssa.2210390126
10. A. Kornyshev and M. A. Vorotyntsev, Electrochim. Acta 26, 303 (1981). 10.1016/0013-4686(81)85017-7 (Pubitemid 11487420)
11. G. Jaffé, Phys. Rev. 85, 354 (1952). 10.1103/PhysRev.85.354
12. J. R. Macdonald, Phys. Rev. 92, 4 (1953). 10.1103/PhysRev.92.4
13. V. G. Levich, Physicochemical Hydrodynamics (Prentice-Hall, Englewood Cliffs, NJ, 1962).
14. I. Rubinstein and L. Shtilman, J. Chem. Soc., Faraday Trans. 2 75, 231 (1979). 10.1039/f29797500231
15. M. Z. Bazant, K. T. Chu, and B. J. Bayly, SIAM J. Appl. Math. 65, 1463 (2005). 10.1137/040609938
16. I. Rubinstein, B. Zaltzman, and I. Lerman, Phys. Rev. E 72, 011505 (2005). 10.1103/PhysRevE.72.011505 (Pubitemid 41521032)
17. B. Zaltzman and I. Rubinstein, J. Fluid Mech. 579, 173 (2007). 10.1017/S0022112007004880 (Pubitemid 47304528)
18. I. Rubinstein and B. Zaltzman, Phys. Rev. E 68, 032501 (2003). 10.1103/PhysRevE.68.032501
19. S. M. Rubinstein, G. Manukyan, A. Staicu, I. Rubinstein, B. Zaltzman, R. G. H. Lammertink, F. Mugele, and M. Wessling, Phys. Rev. Lett. 101, 236101 (2008). 10.1103/PhysRevLett.101.236101
20. S. S. Dukhin, N. A. Mishchuk, and P. B. Takhistov, Kolloidn. Zh. 51, 616 (1989).
21. S. S. Dukhin, Adv. Colloid Interface Sci. 35, 173 (1991). 10.1016/0001-8686(91)80022-C
22. N. A. Mishchuk and P. V. Takhistov, Colloids Surf., A 95, 119 (1995). 10.1016/0927-7757(94)02988-5
23. S. Barany, N. A. Mishchuk, and D. C. Prieve, J. Colloid Interface Sci. 207, 240 (1998). 10.1006/jcis.1998.5673 (Pubitemid 28523147)
24. Y. Ben and H.-C. Chang, J. Fluid Mech. 461, 229 (2002). 10.1017/S0022112002008662 (Pubitemid 35054548)
25. Y. Ben, E. A. Demekhin, and H.-C. Chang, J. Colloid Interface Sci. 276, 483 (2004). 10.1016/j.jcis.2004.04.004 (Pubitemid 38951010)
26. S. C. Wang, H. H. Wei, H. P. Chen, M. H. Tsai, C. C. Yu, and H.-C. Chang, Biomicrofluidics 2, 014102 (2008). 10.1063/1.2904640
27. S. Barany, Adv. Colloid Interface Sci. 147, 36 (2009). 10.1016/j.cis.2008.10.006
28. K. T. Chu and M. Z. Bazant, SIAM J. Appl. Math. 65, 1485 (2005). 10.1137/040609926
29. I. Rubinstein, Electro-diffusion of Ions (SIAM, Philadelphia, 1990).
30. I. Rubinstein, B. Zaltzman, and O. Kedem, J. Membr. Sci. 125, 17 (1997). 10.1016/S0376-7388(96)00194-9 (Pubitemid 27099987)
31. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, 3rd ed. (Dover, New York, 1965).