Igneous rocks very commonly show a strongly bimodal distribution of co
mpositions, one mode corresponding to basalt and the other to felsic m
agmas(1-3). As fractional crystallization of basaltic parents produces
a continuum of compositions, the paucity of rocks of intermediate com
position-commonly called the Daly gap-has puzzled petrologists since t
he time of Daly. Gravitational or viscous trapping(4,5), large crystal
loads restraining convection(6,7), and re-melting of deep volcanic la
yers(2) are among the processes that have been offered as physically m
eaningful explanations of magmatic gaps. Here we propose an alternativ
e interpretation, transposed from chemical reactor control theory(8):
at large undercooling, thermal feedback in a continuously fed and diff
erentiating magma reservoir promotes the existence of competing thermo
chemical steady states. Small variations in magma residence time and c
ooling rate induce a large thermal and chemical swing (magmatic bifurc
ation or catastrophe), which interrupts the liquid line of descent, le
ading to bimodal erupted products.