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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 1 Issue 4 (1998) pp 453-464
Ionic diffusion on a lattice: Effects of the order-disorder transition on the dynamics of non-equilibrium systems
R. Nassif (1), Y. Boughaleb (1), A. Hekkouri (1), J.F. Gouyet (2) (a), M. Kolb (2)(3)
(1) Laboratoire de Physique de la Matigrave;re Condensée, Université Hassan II, Faculté des Sciences Ben M'Sik, Casablanca, Morocco
(2) Laboratoire de Physique de la Matigrave;re Condensée, École Polytechnique, 91128 Palaiseau, France
(3) Laboratoire de Chimie Théorique, École Normale Supérieure, 69364 Lyon, France
Received: 26 June 1997 / Revised: 18 September 1997 / Accepted: 10 November 1997
Abstract: We examine the behaviour of the concentration profiles of particles with repulsive interactions diffusing on a host lattice. At low temperature, the diffusion process is strongly influenced by the presence of ordered domains. We use mean field equations and Monte-Carlo simulations to describe the various effects which influence the kinetic behaviour. An effective diffusion coefficient is determined analytically and is compared with the simulations. Finite gradient effects on the ordered domains and on the diffusion are discussed. The kinetics studied is relevant for superionic conductors, for intercalation and also for the diffusion of particles adsorbed on a substrate.
PACS. 05.50.+q Lattice theory and statistics: Ising problems - 05.60.+w Transport processes theory - 68.35.Fx Diffusion; interface formation
(a) email: jean-françois.gouyet@polytechnique.fr
Online publication: March 19, 1998
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