The particle versus the future event horizon in an interacting holographic dark energy model

Abstract

By choosing the future event horizon as the horizon of the flat FLRW\nuniverse, we show that although the interacting holographic dark energy model\nis able to explain the phantom divide line crossing, but the thermodynamics\nsecond law is not respected in this model. We show that if one takes the\nparticle event horizon as the horizon of the universe, besides describing\n$\\omega=-1$ crossing in a consistent way with thermodynamics second law, he is\nable to determine appropriately the ratio of dark matter to dark energy density\nat transition time. In this approach, after the first transition from\nquintessence to phantom, there is another transition from phantom to\nquintessence phase which avoids the big rip singularity.\n