论文信息 - Velocity and diffusion constant of a periodic one-dimensional hopping model

Velocity and diffusion constant of a periodic one-dimensional hopping model

The velocity and the diffusion constant are obtained for a periodic onedimensional hopping model of arbitrary periodN. These two quantities are expressed as explicit functions of all the hopping rates. The velocity and the diffusion constant of random systems are calculated by taking the limit N→Β. One finds by varying the distribution of hopping rates that the diffusion constant and the velocity are singular at different points. Lastly, several possible applications are proposed.

Bernard Derrida | B. Derrida

[1] Frederick Solomon. Random Walks in a Random Environment , 1975 .

[2] I. Webman,et al. Effective-Medium Approximation for Diffusion on a Random Lattice , 1981 .

[3] J. Bernasconi,et al. Excitation Dynamics in Random One-Dimensional Systems , 1981 .

[4] Harry Kesten,et al. A limit law for random walk in a random environment , 1975 .

[5] Non-Markoffian diffusion in a one-dimensional disordered lattice , 1982 .

[6] B. Derrida,et al. Classical Diffusion on a Random Chain , 1982 .

[7] J. Machta. Generalized diffusion coefficient in one-dimensional random walks with static disorder , 1981 .

[8] Frequency dependence of the conductivity in presence of an electric field in one dimension: Weak-disorder limit , 1983 .

[9] J. Klafter,et al. Diffusion in one-dimensional disordered systems: An effective-medium approximation , 1982 .