The effects of specific interactions in a two dimensional coulombic system
are investigated. In the framework of a field theoretical approach, we have
shown that the electric properties of the system are strongly modified whe
n two ionic species have a tendency to demix. By means of a Langevin dynami
cs, we investigate here a model system where, in the absence of electrostat
ic interaction, the specific interactions are such that the system demixes.
This phase separation cannot take place in the presence of the coulombic p
otential, as a result of the electroneutrality condition in the system. The
snapshots of the system obtained in the simulation, show large local conce
ntration inhomogeneities, which are also charge inhomogeneities reminiscent
of the tendency of the two species to separate. This is an unusual feature
in a charged system, as it corresponds to the gathering of ions of the sam
e sign. These inhomogeneities are constituted by a continuous network of li
nes of ions of the same species, the adjacent line being of the opposite si
gn. This structure is similar to a bicontinuous phase. One property of thes
e lines: the average distance between the lines, has been studied by means
of a simple field theoretical model. The Hamiltonian includes entropy, elec
trostatic and specific interactions. In the mean field approximation, we ob
tain a distance between the Lines in agreement with what is found in the si
mulation. (C) 2000 Elsevier Science B.V. All rights reserved.