  The dynamical entropy of dense gluonic states in proton-proton collisions at
high energies is studied by using phenomenological models for the unintegrated
gluon distribution. The corresponding transverse momentum probability
distributions are evaluated in terms of rapidity. The dynamical entropy density
is obtained in the rapidity range relevant for the collisions at the Large
Hadron Collider. The total entropy density for the dense system is computed as
a function of the rapidity evolution $\Delta Y = Y-Y_0$ given an initial
rapidity $Y_0$. The theoretical uncertainties are investigated and comparison
with related approaches in literature is done.
