Theoretical Study On The Related Problems Of The New Holographic Dark Energy Model With Interaction

Recent astronomical observations show that today's universe is in the midst of an acceler-ated expansion.What caused the expansion of the universe has become a hot topic in cosmology today.In order to explain this phenomenon,many kinds of dark energy models have been pro-posed.For this reason,this paper discusses the properties of holographic dark energy model.In the FRW flat universe,this paper first studies the influence of interaction on the cosmic evolution of the new holographic dark energy model.Specifically,we take the interaction terms Q1 = 3b2H?de?Q2 = 3b2H?dm?Q3=3b2?de?dm/?dm+?deand Q4 = 3b2H?de(?de-?dm)/?de+?dmrespectively.We derive the density parameter ?de of the dark energy?state parameter ?de and deceleration parameter q,draw their evolution curves.Through the evolution curves,we find that the density parameter is mainly dominated by dark matter in the early stage of cosmic evolution(?de tends to 0)while in the late stage,it is dominated by dark energy(Qde tends to I),the state parameter ?de all realize the Phantom crossing and the interaction terms are different;The earliest time of crossing is different;The evolution of the universe has gone through the stage from deceleration(q>0)to acceleration(q<0).Secondly,we make a Statefinder geometric diagnosis of the model under four different interactions,and draw the r-s evolution curves.Through the image,we can see the difference between the new holographic dark energy model and the ACDM model in different interaction forms.Furthermore,we have studied the dynamic characteristics of the new holographic dark energy model under four interactions,and the stability of the critical points of the model.Fi-nally,the thermodynamic characteristics of the new holographic dark energy model are studied.The second law of thermodynamics and the correction of the entropy of the new holographic dark energy model are discussed.