In a thermodynamical model of cosmological FLRW event horizons for the dark
energy (DE), we consider a logarithmic corrective term in the entropy to which
corresponds a new term in the DE density. This model of Λ(t) in an
interacting two-component cosmology with cold dark matter (DM) as second
component leads to a system of coupled equations, yielding, after numerical
resolution, the evolutions of Λ(t), the Hubble H(t), vacuum density
Ω_Λ(t), deceleration q(t) and statefinder R(t) and S(t)
parameters. Its results, compatible with an initial inflation and the current
observations of the so-called "concordance model", predict a graceful exit of
early inflation and the present acceleration and solve in the same time the age
and coincidence problems. Moreover they account for the low-l CMBR power
spectrum suppression.Comment: 17 pages, 3 figures, submitted to JCA