  We present experimental observations and numerical simulations of
nonequilibrium spatial structures in a trapped Bose-Einstein condensate subject
to oscillatory perturbations. In experiment, first, there appear collective
excitations, followed by quantum vortices. Increasing the amount of the
injected energy leads to the formation of vortex tangles representing quantum
turbulence. We study what happens after the regime of quantum turbulence, with
increasing further the amount of injected energy. In such a strongly
nonequilibrium Bose-condensed system of trapped atoms, vortices become
destroyed and there develops a new kind of spatial structure exhibiting
essentially heterogeneous spatial density. The structure reminds fog consisting
of high-density droplets, or grains, surrounded by the regions of low density.
The grains are randomly distributed in space, where they move. They live
sufficiently long time to be treated as a type of metastable objects. Such
structures have been observed in nonequilibrium trapped Bose gases of
$^{87}$Rb, subject to the action of alternating fields. Here we present
experimental results and support them by numerical simulations. The granular,
or fog structure is essentially different from the state of wave turbulence
that develops after increasing further the amount of injected energy.
