Phase seperation in 1-d

It is said that, phase transition can not occur in one dimension if
interaction is local.
We show that a system with local dynamics can exhibit
phase seperation. Above, is a picture of
density profiles of three different kind of particles, say
red, green and blue,
in our model ( with J. Lebowitz and D. Mukamel) .
The macroscopic parameters are fixed, however, different innitial
conditions equilibriate to
different density profile.
Work is in progress (Under construction.....
)