H. Ennamiri et al., ORDER-DISORDER TRANSITION EFFECTS ON THE DYNAMIC OF INTERCALATION PROCESS WITHIN A STOCHASTIC LATTICE-GAS MODEL, Physica. A, 238(1-4), 1997, pp. 252-264
The aim of this paper is to examine thoroughly the dynamics of the dif
fusion process of mobile particles with repulsive interactions in inho
mogeneous systems, and in the intercalation compounds such as LixTiS2
which presents a triangular structure, The study is done by using the
lattice gas model in the mean field approach, Taking into account the
subdivision of !he triangular lattice into three interpenetrating subl
attices, we derive three master equations where each one of them is as
sociated with one of the three sublattices. In order to quantify the o
rder in the system and to characterise the order-disorder transition,
we define order parameters which we take as the difference between the
occupation of the different sublattices. The representation of the or
der parameter as a function of the average concentration shows two max
imums at critical averages which go up with an increase of the interac
tion energy, We have also been interested in the phase separation with
in the system. At last, we have brought forward the diffusion coeffici
ent behaviour which presents singularities in the critical points that
correspond to the transition from one phase to another.