5,455 research outputs found
Clapeyron equation and phase equilibrium properties in higher dimensional charged topological dilaton AdS black holes with a nonlinear source
Using Maxwell's equal area law, we discuss the phase transition of higher
dimensional charged topological dilaton AdS black holes with a nonlinear
source. The coexisting region of the two phases is found and we depict the
coexistence region in diagrams. The two-phase equilibrium curves in
diagrams are plotted, and we take the first order approximation of volume
in the calculation. To better compare with a general thermodynamic system, the
Clapeyron equation is derived for higher dimensional charged topological black
hole with a nonlinear source. The latent heat of isothermal phase transition is
investigated. We also study the effect of the parameters of the black hole on
the region of two-phases coexistence. The results show that the black hole may
go through a small-large phase transition similar to those of usual non-gravity
thermodynamic systems.Comment: 21 pages,25 figures. published version in EPJC. arXiv admin note:
substantial text overlap with arXiv:1411.7202; text overlap with
arXiv:1506.01786, arXiv:hep-th/0605042 by other author
Thermodynamics of phase transition in higher dimensional Reissner-Nordstr\"{o}m-de Sitter black hole
It is well known that there are black hole and the cosmological horizons for
the Reissner-Nordstr\"{o}m-de Sitter spacetime. Although the thermodynamic
quantities on the horizons are not irrelevant, they satisfy the laws of black
hole thermodynamics respectively. In this paper by considering the relations
between the two horizons we give the effective thermodynamic quantities in
-dimensional Reissner-Nordstr\"{o}m-de Sitter spacetime. The
thermodynamic properties of these effective quantities are analyzed, moreover,
the critical temperature, critical pressure and critical volume are obtained.
We carry out an analytical check of Ehrenfest equations and prove that both
Ehrenfest equations are satisfied. So the spacetime undergoes a second order
phase transition at the critical point. This result is consistent with the
nature of liquid--gas phase transition at the critical point, hence deepening
the understanding of the analogy of charged dS spacetime and liquid--gas
systems.Comment: 18 pages, 7 figures, 1 tabl
Phase transition of the higher dimensional charged Gauss-Bonnet black hole in de Sitter spacetime
We study the phase transition of charged Gauss-Bonnet-de Sitter (GB-dS) black
hole. For black holes in de Sitter spacetime, there is not only black hole
horizon, but also the cosmological horizon. The thermodynamic quantities on the
both horizons satisfy the first law of the black hole thermodynamics,
respectively; moreover, there are additional connections between them. Using
the effective temperature approach, we obtained the effective thermodynamic
quantities of charged GB-dS black hole. According to Ehrenfest classification,
we calculate some response functions and plot their figures, from which one can
see that the spacetime undergoes a second-order phase transition at the
critical point. It is shown that the critical values of effective temperature
and pressure decrease with the increase of the value of GB parameter .Comment: 9 pages, 16 figure
Poly[bisÂ(μ4-benzene-1,4-dicarboxylÂato)(μ4-succinato)diterbium(III)]
In the title compound, [Tb2(C4H4O4)(C8H4O4)2]n, the coordÂinÂation around each Tb atom is distorted square-antiÂprismatic. The benzene-1,4-dicarboxylÂate and succinate anions bridge the antiÂprisms, forming a three-dimensional network. The succinate anion is located on a centre of inversion. The structure is isomorphous with the Dy, Gd, Er and Nd complexes
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