Energy flows between dark energy and dark matter may alleviate the Hubble
tension and mitigate the coincidence problem. In this paper, after
reconstructing the redshift evolution of the Hubble function by adopting
Gaussian process techniques, we estimate the best-fit parameters for some flat
Friedmann cosmological models based on a Modified Chaplygin Gas interacting
with dark matter. In fact, the expansion history of the Universe will be
investigated because passively evolving early galaxies constitute cosmic
chronometers. An estimate for the present-day values of the deceleration
parameter, adiabatic speed of sound within the dark energy fluid, effective
dark energy, and dark matter equation of state parameters is provided. By this,
we mean that the interaction term between the two dark fluids, which breaks the
Bianchi symmetries, will be interpreted as an effective contribution to the
dark matter pressure similarly to the framework of the \lq\lq Generalized Dark
Matter". Fixing a certain value for the dark matter abundance at the present
day as initial condition will allow us to investigate whether the estimate of
the Hubble constant is sensitive to the dark matter - dark energy coupling. We
will also show that the cosmic chronometers data favor a hot dark matter, and
that our findings are in agreement with the Le Ch\^atelier-Braun principle
according to which dark energy should decay into dark matter (and not vice
versa).Comment: 14 pages, 2 figure