Single stage distillation involves a continuous process where a liquid mixture is partially vaporized, while multistage distillation is typically used for seawater distillation with multiple stages of flashing and condensation to produce fresh water. Flash distillation is a single stage equilibrium process, whereas differential distillation is a batch process with a column for multiple equilibrium stages, allowing vapors to enrich and condense as distillate. Simple steam distillation uses steam to lower boiling points for separating temperature-sensitive materials.