Synonyms for Circulate (same or very similar meaning)
WordNet sense 1 (move in circles):
circleWordNet sense 2 (cause to be distributed):
distribute, pass on, pass aroundWordNet sense 3 (become widely known and passed on):
spread, go aroundWordNet sense 4 (cause to become widely known):
broadcast, circularize, diffuse, disperse, disseminate, propagate, circularise, diffuseWordNet sense 5 (cause to move around):
mobilize, mobiliseFrom the ODE community, based on WordNetadd/edit