https://doi.org/10.1007/s100510050208
Ionic diffusion on a lattice: Effects of the order-disorder transition on the dynamics of non-equilibrium systems
1
Laboratoire de Physique de la Matière Condensée,
Université Hassan II, Faculté des Sciences Ben
M'Sik, Casablanca, Morocco
2
Laboratoire de Physique de la Matière
Condensée, École Polytechnique, 91128 Palaiseau, France
3
Laboratoire de Chimie
Théorique, École Normale Supérieure, 69364 Lyon, France
Corresponding author: a jean-francois.gouyet@polytechnique.fr
Received:
26
June
1997
Revised:
18
September
1997
Accepted:
10
November
1997
Published online: 15 February 1998
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
