Relaxation times of an electrolytic cell subject to an external electric field: Role of ambipolar and free diffusion phenomena

Journal of Physical Chemistry B

Volumn 111, Issue 46, 2007, Pages 13287-13293

  Alexe Ionescu, A L ^a   Barbero, G ^b,c   Lelidis, I ^c   Scalerandi, M ^b  

^a UNIVERSITY POLITEHNICA OF BUCHAREST   (Romania)

^b POLITECNICO DI TORINO   (Italy)

^c UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC FIELDS; NEGATIVE IONS; POSITIVE IONS;

AMBIPOLAR; EIGENVALUES EQUATIONS; EXTERNAL VOLTAGE; RELAXATION TIMES;

ELECTROLYTIC CELLS;

EID: 37149000223     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp0742160     Document Type: Article

References (18)

1. Bougrioua, F.; De Vleeschouwer, H.; Vermael, S.; Neyts, K.; Pauwels, H. Mol. Cryst. Liq. Cryst. 2001, 367, 45.
2. Zhang, H.; D'Have, K. Mol. Cryst. Liq. Cryst. 2000, 351, 27.
3. Bazant, M. Z.; Thornton, K.; Adjadari, A. Phys. Rev. E 2004, 70, 021505.
4. Freire, F. C. M.; Alexe-Ionescu, A. L.; Scalerandi, M.; Barbero, G. Appl. Phys. Lett. 2006, 89, 214101.
5. Barbero, G.; Freire, F. C. M.; Scalerandi, M.; Alexe-Ionescu, A. L. J. Phys. Chem. B 2006, 110, 17889.
6. Lifshitz, E. M.; Pitaevskii, L. P. Physical Kinetics. In Landau and Lifshitz Course of Theoretical Physics; Butterworth and Heinemann: Oxford, 1997; Vol. 10.
7. Barbero, G.; Alexe-Ionescu, A. L.; Lelidis, I. J. Appl. Phys. 2005, 98, 113703.
8. Lifshitz, E. M.; Pitaevskii, L. P. Electrodynamics of Continuous Media. In Landau and Lifshitz Course of Theoretical Physics; Butterworth and Heinemann: Oxford, 1997; Vol. 8.
9. Atkins, P. W. Physical Chemistry; Oxford University Press: Oxford, 2000.
10. Barbero, G.; Alexe-Ionescu, A. L. Liq. Cryst. 2005, 32, 943.
11. Israelachvili, J. Intermolecular and Surface Forces; Academic Press: London, 1995.
12. Lifshitz, E. M; Pitaevskii, L. P. Fluid Mechanics. In Landau and Lifshitz Course of Theoretical Physics; Butterworth and Heinemann: Oxford, 1997; Vol. 6.
13. Lelidis, I.; Barbero, G. Phys. Lett. A 2005, 343, 440.
14. Sawada, A.; Tarumi, K.; Naemura, S. Jpn. J. Appl. Phys. 1999, 38, 1423.
15. Actually, as discussed in ref 5, even for ξ = 1, the eigenvalue equation has infinite solutions and, hence infinite eigenfunctions, by means of which it is possible to satisfy the initial conditons on m, and u. In this final part of the section, our aim is to obtain an approximated solution for the transient components, characterized by a relaxation time similar to the one numerically deduced.
16. Barbero, G.; Evangelista, L. R. Phys. Rev. E 2004, 70, 031605.
17. Kaniadakis, G.; Delsanto, P. P.; Condat, C. A. Math. Comp. Mod. 1993, 17, 31.
18. Freire, F. C. M.; Barbero, G.; Scalerandi, M. Phys. Rev. E 2006, 73, 051202.