https://doi.org/10.1140/epjb/e2008-00110-5
Mobility and conductivity of ionic and bonded defects in hydrogen-bonded chains with nonlinear interactions
1
Laboratoire de Mécanique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, B.P. 812, Yaoundé, Cameroun
2
International Chair of Mathematical Physics and Applications ICMPA-UNESCO Chair, 072 BP50, Cotonou, Université d'Abomey-Calavi, BP 50, 072 Cotonou, Benin
3
The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586 Strada Costiera, II-34014 Trieste, Italy
Corresponding author: a nguetchoserge@yahoo.fr
Received:
5
September
2007
Revised:
12
November
2007
Published online:
12
March
2008
The proton conductivity and the mobility arising from motions of the ionic and bonded defects, in hydrogen-bonded molecular systems are investigated by means of the quantum mechanical method. Our two component model goes beyond the usual classical harmonic interaction by inclusion of a quartic interaction potential between the nearest-neighbor protons. Among the rich variety of soliton patterns obtained in this model, we focus our attention to compact kink (kinkon) solutions to calculate analytically, the mobility of the kinkon-antikinkon pair and the specific electrical-conductivity of the protons transfer in the hydrogen-bonded systems under an externally applied electrical-field through the dynamic equation of the kinkon-antikinkon pair. For ice, the mobility and the electrical conductivity of the proton transfer obtained are about 5.307×10-7 m2 V-1 s-1 and 6.11×10-4 Ω-1 m-1, respectively. The results obtained are in qualitative agreement with experimental data.
PACS: 62.30.+d – Mechanical and elastic waves; Vibrations / 63.20.-e – Phonons in crystal lattices / 05.45.Yv – Solitons / 63.20.Ry – Anharmonic lattice modes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008