  Spectrum Broadcast Structures are a new and fresh concept in the
quantum-to-classical transition, introduced recently in the context of
decoherence and the appearance of objective features in quantum mechanics.
These are specific quantum state structures, responsible for an apparent
objectivity of a decohered state of a system. Recently they have been shown to
appear in the well known Quantum Brownian Motion model, however the final
analysis relied on numerics. Here, after a presentation of the main concepts,
we perform analytical studies of the model, showing the timescales and the
efficiency of the spectrum broadcast structure formation. We consider a massive
central system and a somewhat simplified environment being random with a
uniform distribution of the frequencies.
