Water Desalination Guess – Hot And Cold Water Side Of The Filter?

I believe water ?likes temperatures to be even. Therefor I had the idea that maybe desalination could be aided by a temperature difference.

I don’t know but maybe its possible to ?heat the saltwater side and chill the freshwater side of the filter. The idea is to see if desalination. The removal of salt from the water could be aided by this temperature difference.