The emulsion also presents two peaks in the size distribution data, it is possible that these two peaks in the zeta potential analysis corresponds to two different populations found in size distribution analysis? Thanks for helping me.
That is indeed possible, and can be demonstrated by preparing mixtures of standards with different fictionalised surfaces.
Depending on the size difference you could give yourself better confidence that this is the case by separating the two size populations (by filter/centrifuge etc) and see if you can retain one zeta potential peak with a single size component.
yes as indicated above it may be possible that the two different sizes have different zeta potentials - and the best way to show that would be if they could be shown separately for the two species, and then after mixing. The concern from Jitendra is that possibly multiple scattering or particle-particle interactions could be the cause of the second peak. An overall dilution series (with the same medium) without a significant change in the peaks would alleviate that concern.
It would be really nice if you could publish the data. There are very few examples in the literature of this type of behavior (two peaks in zeta). In most real-life applications one overall effective charge is dominant or overpowers the other contributions. And most often only the overall mean average zeta potential is studied when looking at changes versus pH or other variables.