  The movement of the particles in a capillary electrophoretic system under
electroosmotic flow was modeled using Monte Carlo simulation with Metropolis
algorithm. Two different cases, with repulsive and attractive interactions
between molecules were taken into consideration. The simulation was done using
a spin-like system where the interactions between the nearest and second
closest neighbors were considered in two separate steps of the modeling study.
A total of 20 different cases with different rate of interactions for both
repulsive and attractive interactions were modeled. The movement of the
particles through the capillary is defined as current. At a low interaction
level between molecules, a regular electroosmotic flow is obtained, on the
other hand, with increasing interactions between molecules the current shows a
phase transition behavior. The results also show that a modular electroosmotic
flow can be obtained for separations by tuning the ratio between molecular
interactions and electric field strength.
