  Microphase separation is common in active biological systems as exemplified
by the separation of RNA and DNA-rich phases in the cell nucleus driven by the
transcriptional activity of polymerase enzymes acting similarly to amphiphiles
in a microemulsion. Here we propose an analytically tractable model of an
active microemulsion to investigate how the activity affects its structure and
relaxation dynamics. Continuum theory derived from a lattice model exhibits two
distinct regimes of the relaxation dynamics and is linked to the broken
detailed balance due to intermittent activity of the amphiphiles.
