  We develop an analytical theory of the localization-delocalization transition
for a disordered Bose system, focusing on a Cooper-pair insulator. We consider
a chain of small superconducting granules coupled via Josephson links and show
that the low-temperature tunnelling transport of Cooper pairs is mediated by a
self-generated environment of dipole excitations comprised of the same
particles as the tunnelling charge carriers in accord with the early notion by
Fleishman, Licciardello, and Anderson. We derive an analytical expression for
the current-voltage characteristic and find that at temperatures, T, below the
the charging energy of a single junction, E_c, the dc transport is completely
locked by Coulomb blockade effect at all voltages except for a discrete set of
resonant ones. At T>E_c the combined action of disorder and temperature unlocks
the charge transport, since the environment excitation spectrum becomes
quasi-continuous according to a Landau-Hopf-like scenario of turbulence, and
the conductivity acquires an Arrhenius-like thermal activation form. The
transition from the localized to delocalized behaviour occurs at T=E_c which
corresponds to the onset of turbulence in the spectral flow of environmental
excitations with Reynolds number Re=(k_B T/E_c)=1. The proposed theory breaks
ground for a quantitative description of dynamic and quantum phase transitions
in a wealth of physical systems ranging from cold atoms in optical lattices,
through disordered films and wires to granular and nanopatterned materials.
