Fractional diffusion equation and the electrical impedance: Experimental evidence in liquid-crystalline cells

Journal of Physical Chemistry C

Volumn 116, Issue 15, 2012, Pages 8773-8777

  Ciuchi, F ^a   Mazzulla, A ^a   Scaramuzza, N ^a   Lenzi, E K ^b   Evangelista, L R ^b  

^a UNIVERSITY OF CALABRIA   (Italy)

^b STATE UNIVERSITY OF MARINGÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION-DESORPTION PROCESS; ANOMALOUS DIFFUSION; BLOCKING ELECTRODES; ELECTRICAL IMPEDANCE; EXPERIMENTAL EVIDENCE; FRACTIONAL DIFFUSION EQUATION; KINETIC EQUATIONS; LIQUID CRYSTAL CELLS; MOBILE IONS; TEMPORAL KERNEL;

ELECTRIC IMPEDANCE; ELECTRIC POTENTIAL; ELECTRODES; INTEGRAL EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; LIQUIDS; PARTIAL DIFFERENTIAL EQUATIONS;

ELECTRIC IMPEDANCE MEASUREMENT;

EID: 84860138684     PISSN: 19327447     EISSN: 19327455     Source Type: Journal    
DOI: 10.1021/jp211097m     Document Type: Article

References (26)

1. Macdonald, J. R. J. Appl. Phys. 1985, 58, 1955-1970
2. Johnson, W. B.; Macdonald, J. R. Fundamental of Impedance Spectroscopy. In Impedance Spectroscopy, Theory, Experiment, and Applications; Barsoukov, E.; Macdonald, J. R., Eds.; Wiley: New York, 2005; pp 1-26.
3. Raistrick, I. D.; Franceschetti, D. R.; Macdonald, J. R. Theory. In Impedance Spectroscopy, Theory, Experiment, and Applications; Barsoukov, E.; Macdonald, J. R., Eds.; Wiley: New York, 2005; pp 27-128.
4. Macdonald, J. R. J. Electroanal. Chem. 1976, 70, 17-26
5. Macdonald, J. R.; Franceschetti, D. R. J. Chem. Phys. 1978, 68, 1614-1637
6. Murakami, S.; Naito, H. Jpn. J. Appl. Phys., Part 1 1997, 36, 2222-2225
7. Murakami, S.; Iga, H.; Naito, H. J. Appl. Phys. 1996, 80, 6396-6400
8. Verschueren, A. R. M.; Niessen, R. A. H.; Notten, P. H. L.; Oepts, W.; Alexander-Moonen, E. M. L. IEEE Trans. Dielectr. Electr. Insul. 2003, 10, 963-969
9. Barbero, G. Phys. Rev. E 2005, 71, 062201
10. Bisquert, J.; Compte, A. J. Electroanal. Chem. 2001, 499, 112-120
11. Bisquert, J.; Garcia-Belmonte, G.; Pitarch, A. ChemPhysChem 2003, 4, 287-292
12. Bisquert, J. Phys. Rev. E 2005, 72, 011109
13. Bisquert, J. Phys. Rev. Lett. 2003, 91, 010602
14. Lenzi, E. K.; Evangelista, L. R.; Barbero, G. J. Phys. Chem. B 2009, 113, 11371-11374
15. Sidebottom, D. L. Rev. Mod. Phys. 2009, 81, 999-1014
16. Macdonald, J. R. J. Phys.: Condensed Matter 2010, 22, 495101
17. Macdonald, J. R.; Evangelista, L. R.; Lenzi, E. K.; Barbero, G. J. Phys. Chem. C 2011, 115, 7648-7655
18. Santoro, P. A.; de Paula, J. L.; Lenzi, E. K.; Evangelista, L. R. J. Chem. Phys. 2011, 135, 114704
19. Evangelista, L. R.; Lenzi, E. K.; Barbero, G.; Macdonald, J. R. J. Phys.: Condens. Matter 2011, 23, 485005
20. Chechkin, A. V.; Gonchar, V. Yu.; Gorenflo, R.; Korabel, N.; Sokolov, I. M. Phys. Rev. E 2008, 78, 021111
21. Lenzi, E. K.; Mendes, R. S.; Tsallis, C. Phys. Rev. E 2003, 67, 031104
22. Barbero, G.; Evangelista, L. R. Adsorption Phenomena and Anchoring Energy in Nematic Liquid Crystals; Taylor & Francis: London, 2006.
23. Podlubny, I., Fractional Differential Equations; Academic Press: San Diego, 1999.
24. Lenzi, E. K.; Yednak, C. A. R.; Evangelista, L. R. Phys. Rev. E 2010, 81, 011116
25. Lenzi, E. K.; Evangelista, L. R.; Barbero, G.; Mantegazza, F. Europhys. Lett. 2009, 85, 28004
26. Batalioto, F.; Barbero, G.; Figueiredo Neto, A. M. J. Appl. Phys. 2007, 102, 104111