Collective phenomena in strongly nonequilibrium systems interacting with an
electromagnetic field are considered. Such systems are described by compli
cated nonlinear differential or integro-differential equations. The aim of
this review is to show that many nonlinear collective phenomena can be succ
essfully treated by a recently developed method called the scale separation
approach, whose name comes from the idea of separating different character
istic space-time scales existing in nonequilibrium statistical systems. Thi
s approach is rather general and can be applied to various nonequilibrium p
hysical problems, several of which are discussed here. The problems conside
red not only serve as illustrations of the method but are quite important b
y themselves, presenting interesting physical effects such as the collectiv
e liberation of light, turbulent photon filamentation, superradiant spin re
laxation, negative electric current, and the magnetic semiconfinement of at
oms.