An analysis is made of the law of alternating nonequilibrium, dictatin
g an oscillatory change in the degree of nonequilibrium for a wide ran
ge of influence. With increasing influence, intervals of decreasing de
gree of nonequilibrium at their onset correspond to structural transit
ions and accompanying anomalous states. This law can be used to identi
fy a wide variety of new nonequilibrium effects. (C) 1997 American Ins
titute of Physics.