In the binary systems nitrobenzene-hexane (upper consolute critical te
mperature) and triethylamine-water (lower consolute critical temperatu
re), maintained in thermal nonequilibrium conditions, the sufficient c
ondition to observe two phases is the existence of a temperature corre
sponding locally to a two-phase system in equilibrium conditions. The
average compositions are almost unchanged under thermal constraint and
strong convective motions are reported, with no Marangoni effect at t
he liquid-liquid interface.