Running Hubble constant: evolutionary Dark Energy

We discuss an evolutionary dark energy model, based on the presence of non-equilibrium effects on the dark energy constituents, which are described via a bulk viscosity contribution. We implement the proposed dynamics by the analysis of the 40-bins Type Ia Supernovae (SNe) Pantheon sample data, in order to outline the existence of a running Hubble constant with the redshift. Via a fitting procedure, we determine the value of the additional parameter that our model possesses with respect a standard $\mathrm{\Lambda }$ Cold Dark Matter ($\mathrm{\Lambda }$CDM) scenario. As important result, the evolutionary dark energy proposal seems more appropriate to describe the binned SN analysis with respect to the $\mathrm{\Lambda }$CDM Hubble parameter, i.e. a non running value for the Hubble constant over the bins.