Modified Kolmogorov Wave Turbulence in QCD matched onto “Bottom-up” Thermalization

We investigate modification of Kolmogorov wave turbulence in QCD calculating gluon spectra as functions of time in the presence of a low energy source which feeds in energy density in the infrared region at a time-dependent rate. Considering the picture of saturation constraints as has been constructed in the “bottom-up” thermalization approach we revisit that picture for RHIC center-mass energy, W = 130GeV , and also extend it for LHC center-mass energy, W = 5500GeV , thus for two cases having an opportunity to calculate the equilibration time of the gluon system produced in a central heavy ion collision at midrapidity region. Thereby, at RHIC and LHC energies we can match the equilibration time, obtained from the late stage gluon spectrum of the modified Kolmogorov wave turbulence, onto that of the “bottom-up” thermalization and of other evolutional approaches as well.