Can we describe the evolution of the cosmic event horizon with the maximum entropy production principle?

The universe is dominated by a non-zero energy of the vacuum (ρ_Λ) that is making the expansion of the universe accelerate. This acceleration produces a cosmic event horizon with associated entropy S_CEH ~ ρ_Λ^-1. When this entropy is included in the entropy budget of the universe, it dominates the entropy of the next largest reservoir, supermassive black holes, by 19 orders of magnitude: 10¹²² k >> 10¹⁰³ k. Here we address the issue of how one might apply the maximum entropy production principle (MEPP) to the processes responsible for the production of the cosmic event horizon entropy.