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Frequency-dependent conductivity of Brownian particles in bistable and metastable structures



  1. Laboratoire de Physique de la Matière Condensée, Université Hassan II-Mohammedia. Faculté des Sciences Ben M’Sik. Casablanca, Morocco
  2. Univ Hassan 1, Equipe de recherche Electronique, Signaux et Systèmes (ESS), ENSA- Khouribga, 26000 Settat, Morocco
  3. Hassan II Academy of Sciences and technology, Morocco
  4. Univ Hassan 1, Faculté polydisciplinaire de Khouribga,26000 Settat, Morocco
  5. MINOS, University of Angers, Institute of sciences and molecular technologies of Angers MOLTECH Anjou - UMR CNRS 6200, 2 Bd Lavoisier 49045 ANGERS cedex2, France


The authors aimed to investigate the dynamic proprieties of one-dimensional system of Brownian particle immersed in bistable and metastable periodic potential, in other words in periodic potentials with two wells. The calculations are developed by using the Fokker-Planck equation which is solved numerically by the continued fraction expansion method (CFEM), in order to calculate the frequency-dependent conductivity. Our numerical results are given for various forms of the periodic potential and for different temperatures T. As expected, we found that the dynamical properties are very sensitive to the structure of the periodic potential. Moreover, our calculations show that the diffusive regime of particles in bistable periodic is slightly more important than the one calculated in metastable or in cosine forms. All calculations presented here are performed in the overdamped regime.


Brownian motion, Fokker –Planck equation, Transport process, Bistable potential, Metastable potential.

Submitted at: Sept. 28, 2013
Accepted at: Nov. 7, 2013


YOUSSEF LACHTIOUI, M’HAMMED MAZROUI, KHALID SAADOUNI, YAHIA BOUGHALEB, KHALID SBIAAI, BOUCHTA SAHRAOUI, Frequency-dependent conductivity of Brownian particles in bistable and metastable structures, Journal of Optoelectronics and Advanced Materials Vol. 15, Iss. 11-12, pp. 1286-1290 (2013)