گاز ايده آل چگاليده با آمار مياني به عنوان مدلي از ساختار كوانتومي فضا-زمان در نزديكي افق رويداد و بررسي مباحثي در ترموديناميك سياهچاله ها

چكيده انگليسي :

abstractAlthough a lot of research work has been focused on explaining the physics of horizon our knowledgeabout the horizon degrees of freedom is still far from perfect The simplest choice not realistic for the quantum degrees of freedom on the horizon is a non interacting boson gas We consider asimple model for the quantum degrees of freedom on the horizon We assume that the horizon degreesof freedom are in a condensed state whose particle number is equal to the number of space timequantum bits For a more realistic model of quantum degrees of freedom on the horizon we shouldpresumably consider interacting bosons gravitons An ideal gas with intermediate statistics couldbe considered as an effective theory for interacting bosons This analysis shows that we may obtaina correct entropy just by a suitable choice of parameter in the intermediate statistics So this modelmay explain some aspects of the quantum structure of space time According to Verlinde s idea thespace time is built of holographic screens A boson gas can be used as a probe to explore equipartitiontheorem and entropy of quantum bits of such screens We calculate the dimension of quantum channelof radiation from a Schwarzschild BTZ and Lovelock black holes Our results indicate that for odd Ddimensional space time the dimension of transmission from pure Lovelock black holes is equal to Dand for even D dimensional space times the dimension of quantum channel becomes 1 where is cosmological constant It is interesting that cosmological constant may put some constraint ondimension of quantum channel in even dimensional spacetimes The thermodynamics of the innerhorizon plays a crucial role in understanding the black hole entropy microscopically We will showthat for some black holes the entropy product of the outer and inner horizons is independent of themass of the black hole and this is equivalent to the relation T S T S where T and S beingthe Hawking temperatures and the entropies of the outer and inner horizons respectively Here ageneralized mass independent relation for Myers Perry MP black holes in higher dimensions D 6and Kerr AdS black hole in D 4 is obtained Then we will generalize to another relation of T S T S for Reissner Nordstrom AdS black hole in 4 dimensions We study the thermodynamics of theinner horizon for Kerr AdS black holes in an extended phase space in which the cosmological constantis investigated as thermodynamic variable In this way we find that the entropy product of the innerand outer event horizons of Kerr AdS black hole in 2 1 dimension is independent of the mass anddepends on the cosmological constant Furthermore in this thesis we investigate the thermodynamicsof the right and left moving sectors of dual CFT in Kerr CFT correspondence The central chargesof the right and left moving sectors for some of black holes will be calculated Finally we apply thenon equilibrium fluctuation theorems developed in the statistical physics to the thermodynamics ofblack hole horizons We will obtain the generalized form of Kawai equation by considering a protocolwhere the physical system is driven away from an initial thermal equilibrium state with temperature 0 to a final thermal equilibrium state at a different temperature

زارع، سميه

گاز ايده آل چگاليده با آمار مياني به عنوان مدلي از ساختار كوانتومي فضا-زمان در نزديكي افق رويداد و بررسي مباحثي در ترموديناميك سياهچاله ها