Application of the quadratic logistic differential equation for the rationalization of methanol electrooxidation dynamics

  • Hossein Heli Nanomedicine and Nanobiology Research Center, Shiraz University of Medical Sciences, Shiraz
  • Fereydoon Gobal Department of Chemistry, Sharif University of Technology, Tehran
Keywords: Logistic Differential Equation, Feedback, Methanol, Electrocatalysis, Fuel Cell


The electrooxidation of methanol in both acidic and alkaline media on poly-crystalline platinum under the regime of cyclic voltammetry is analyzed by application of quadratic logistic equation. The current-charge curves in the anodic cycles fit the logistic differential equation reasonably well and are accounted on the basis of the non-linearity of the kinetics and the effect of positive feedback. In the reverse cycle however, no fit is observed, presumably due to the lack of correlation between the net faradaic current and the surface charge of adsorbates.


Download data is not yet available.


L. Lin, Q. Zhu, A. Xu, Prog. Chem. 27 (2015) 1147-1157.

H. Bahrami, A. Faghri, J. Power Sources 230 (2013) 303-320.

H. Hoster, T. Iwasita, H. Baumgartner, W. Vielstich, Phys. Chem. Chem. Phys. 3 (2001) 337-346.

W. F. Lin, P. A. Christensen, A. Hamnet, Phys. Chem. Chem. Phys. 3 (2001) 3312-3319.

Z. Tang, G. Lu, Prog. Chem. 19 (2007) 1301-1312.

J. M. Leger, J. Appl. Electrochem. 31 (2001) 767-771.

H. Varela, R. M. Torresi, E. R. Gonzalez, Quim. Nova 25 (2002) 99-106.

R. M. Torresi, S. I. C. de Torresi, E. R. Gonzalez, J. Electroanal. Chem. 461 (1999) 161-166.

E. R. Gonzalez, J. Electrochem. Soc. 143 (1996) L113-L115.

S.N. Rasband, Chaotic dynamics of nonlinear systems, Wiley, New York, 1990.

K. Malek, F. Gobal, Synth. Met. 113 (2000) 167-171.

A. Bandura, American Psychologist 37 (1982) 747-755.

A. Hamnett, Catal. Today 38 (1997) 445-457.

R. Manoharan, J. Prabhuram, J. Power Sources 96 (2001) 220-225.

J. Lee, C. Eickes, M. Eiswirth, G. Ertl, Electrochim. Acta 47 (2002) 2297-2301.

B.E. Conway, T.C. Liu, Langmuir 6 (1990) 268-276.

S. Chen, M. Schell, J. Electroanal. Chem. 478 (1999) 108-117.

R. Parsons, T. VanderNoot, J. Eelctroanal. Chem. 257 (1988) 9-45.

T. Iwasita, W. Vielstich, E. Santos, J. Electroanal. Chem. 229 (1987) 367-376.

B. Beden, F. Hahn, S. Juanto, C. Lamy, J. M. Leger, J. Electroanal. Chem. 225 (1987) 215-225.

S. Wasmus, A. Kuver, J. Electroanal. Chem. 461 (1999) 14-31.

H. A. Gasteiger, N. Markovic, P.N. Ross, E. J. Cairns, J. Phys. Chem. 97 (1993) 12020-12029.

V. J. Kwasniewski, L. D. Schmidt, Surf. Sci. 274 (1992) 329-340.

T. Kobayashi, P. K. Babu, L. Gancs, J. H. Chung, E. Oldfield, A. Wieckowski, J. Am. Chem. Soc. 127 (2005) 14164-14165.

P. K. Babu, J. H. Chung, S. T. Kuk, T. Kobayashi, E. Oldfield, A. Wieckowski, J. Phys. Chem. 109 (2005) 2474-2477.

R. C. Hilborn, Chaos and Nonlinear Dynamics, Oxford University Press, Oxford, 2000.

M. Schell, X. Cai, Electrochim. Acta 38 (1993) 519-527.

Electrochemical Science