Semantics and verification of extended phase transition systems in Duration Calculus

1997 ◽  
pp. 301-315 ◽  
Author(s):  
Xu Qiwen
Keyword(s):  
Phase Transition ◽  
Extended Phase ◽  
Transition Systems ◽  
Duration Calculus

scholarly journals Physiologically activated phase transition systems for improved ocular retention of ketorolac tromethamine

2012 ◽  
Vol 4 (5) ◽  
pp. 6 ◽  
Author(s):  
Hetal Thakkar ◽  
Sunil Thakor ◽  
Imran Vhora ◽  
Jagruti Desai ◽  
Sneha Thakkar
Keyword(s):  
Phase Transition ◽  
Ketorolac Tromethamine ◽  
Transition Systems ◽  
Ocular Retention

scholarly journals Joule–Thomson expansion in AdS black hole with a global monopole

2018 ◽  
Vol 33 (35) ◽  
pp. 1850210 ◽  
Author(s):  
C. L. Ahmed Rizwan ◽  
A. Naveena Kumara ◽  
Deepak Vaid ◽  
K. M. Ajith
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Space ◽  
Van Der Waals ◽  
Extended Phase Space ◽  
Global Monopole ◽  
Van Der Waals Gas ◽  
Extended Phase ◽  
Ads Black Holes

In this paper, we investigate the Joule–Thomson effects of AdS black holes with a global monopole. We study the effect of the global monopole parameter [Formula: see text] on the inversion temperature and isenthalpic curves. The obtained result is compared with Joule–Thomson expansion of van der Waals fluid, and the similarities were noted. Phase transition occuring in the extended phase space of this black hole is analogous to that in van der Waals gas. Our study shows that global monopole parameter [Formula: see text] plays a very important role in Joule–Thomson expansion.

scholarly journals Black Hole Solution of Einstein-Born-Infeld-Yang-Mills Theory

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Kun Meng ◽  
Da-Bao Yang ◽  
Zhan-Ning Hu
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Space ◽  
Cosmological Constant ◽  
Black Hole Solution ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Yang Mills ◽  
First Law Of Thermodynamics ◽  
Dimensional Black Hole

A new four-dimensional black hole solution of Einstein-Born-Infeld-Yang-Mills theory is constructed; several degenerated forms of the black hole solution are presented. The related thermodynamical quantities are calculated, with which the first law of thermodynamics is checked to be satisfied. Identifying the cosmological constant as pressure of the system, the phase transition behaviors of the black hole in the extended phase space are studied.

scholarly journals Phase Structure and Quasinormal Modes of AdS Black Holes in Rastall Theory

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
De-Cheng Zou ◽  
Ming Zhang ◽  
Ruihong Yue
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Quasinormal Modes ◽  
Massless Scalar ◽  
Extended Phase Space ◽  
De Sitter ◽  
Extended Phase ◽  
Large Black Hole ◽  
Ads Black Holes ◽  
Scalar Perturbations

We discuss the P−V criticality and phase transition in the extended phase space of anti-de Sitter(AdS) black holes in four-dimensional Rastall theory and recover the Van der Waals (VdW) analogy of small/large black hole (SBH/LBH) phase transition when the parameters ωs and ψ satisfy some certain conditions. Later, we further explore the quasinormal modes (QNMs) of massless scalar perturbations to probe the SBH/LBH phase transition. It is found that it can be detected near the critical point, where the slopes of the QNM frequencies change drastically in small and large black holes.

scholarly journals P–V criticality and geometrical thermodynamics of black holes with Born–Infeld type nonlinear electrodynamics

2016 ◽  
Vol 25 (01) ◽  
pp. 1650010 ◽  
Author(s):  
S. H. Hendi ◽  
S. Panahiyan ◽  
B. Eslam Panah
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Heat Capacity ◽  
Phase Space ◽  
Critical Behavior ◽  
Nonlinear Electrodynamics ◽  
Extended Phase Space ◽  
Maxwell Theory ◽  
Extended Phase ◽  
Transition Points

In this paper, we take into account the black-hole solutions of Einstein gravity in the presence of logarithmic and exponential forms of nonlinear electrodynamics. At first, we consider the cosmological constant as a dynamical pressure to study the phase transitions and analogy of the black holes with the Van der Waals liquid–gas system in the extended phase space. We make a comparison between linear and nonlinear electrodynamics and show that the lowest critical temperature belongs to Maxwell theory. Also, we make some arguments regarding how power of nonlinearity brings the system to Schwarzschild-like and Reissner–Nordström-like limitations. Next, we study the critical behavior of the system in the context of heat capacity. We show that critical behavior of system is similar to the one in phase diagrams of extended phase space. We also extend the study of phase transition points through geometrical thermodynamics (GTs). We introduce two new thermodynamical metrics for extended phase space and show that divergencies of thermodynamical Ricci scalar (TRS) of the new metrics coincide with phase transition points of the system. Then, we introduce a new method for obtaining critical pressure and horizon radius by considering denominator of the heat capacity.

Extended phase-space thermodynamics of black holes in massive gravity

2019 ◽  
Vol 34 (09) ◽  
pp. 1950063
Author(s):  
Parthapratim Pradhan
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Space ◽  
Equation Of State ◽  
Critical Point ◽  
Massive Gravity ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Thermodynamics Of Black Holes

We study the extended phase-space thermodynamics of black holes in massive gravity. Particularly, we examine the critical behavior of this black hole using the extended phase-space formalism. Extended phase-space can be defined as one in which the cosmological constant should be treated as a thermodynamic pressure and its conjugate variable as a thermodynamic volume. In this phase-space, we derive the black hole equation of state, the critical pressure, the critical volume and the critical temperature at the critical point. We also derive the critical ratio of this black hole. Moreover, we derive the black hole reduced equation of state in terms of the reduced pressure, the reduced volume and the reduced temperature. Furthermore, we examine the Ehrenfest equations of black holes in massive gravity in the extended phase-space at the critical point. We show that the Ehrenfest equations are satisfied on this black hole and the black hole encounters a second-order phase transition at the critical point in the said phase-space. This is re-examined by evaluating the Pregogine–Defay ratio [Formula: see text]. We determine the value of this ratio is [Formula: see text]. The outcome of this study is completely analogous to the nature of liquid–gas phase transition at the critical point. This investigation also further gives us the profound understanding between the black hole of massive gravity with the liquid–gas system.

scholarly journals Holographic phase transition from novel Gauss–Bonnet AdS black holes

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Hui-Ling Li ◽  
Xiao-Xiong Zeng ◽  
Rong Lin
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Correlation Function ◽  
Van Der Waals ◽  
Black Hole Entropy ◽  
Extended Phase ◽  
Ads Black Holes ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Thermodynamic Phase

Abstract In the framework of holography, we discuss on the phase transition behavior from a novel Gauss–Bonnet AdS black hole discovered in [Phys. Rev. Lett. 124, 081301 (2020)] in both charged and neutral cases. First, we explore the thermodynamic behavior for the black hole entropy by investigating $$T-S$$T-S diagram, specific heat capacity and free energy, and we find that, in the $$T-S$$T-S plane, the black hole exhibits a van der Waals phase transition similar to that in $$P-V$$P-V plane in extended phase space. Secondly, we detect thermodynamic phase transition for the two point correlation function, and find that, the van der Waals phase transition can also be displayed in the $$T-\delta L $$T-δL plane which is completely similar to that of black hole entropy in the $$T-S$$T-S plane. Our result turns out that, not only the charged but also neutral cases, we can observe holographic van der Waals phase transition for the novel Gauss–Bonnet AdS black hole by employing the black hole entropy and two point correlation function.

scholarly journals Big Bang as a Critical Point

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
Jakub Mielczarek
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Quantum Gravity ◽  
Critical Point ◽  
Order Phase Transition ◽  
Big Bang ◽  
Second Order ◽  
Extended Phase ◽  
Causal Dynamical Triangulations ◽  
Second Order Phase Transition

This article addresses the issue of possible gravitational phase transitions in the early universe. We suggest that a second-order phase transition observed in the Causal Dynamical Triangulations approach to quantum gravity may have a cosmological relevance. The phase transition interpolates between a nongeometric crumpled phase of gravity and an extended phase with classical properties. Transition of this kind has been postulated earlier in the context of geometrogenesis in the Quantum Graphity approach to quantum gravity. We show that critical behavior may also be associated with a signature change in Loop Quantum Cosmology, which occurs as a result of quantum deformation of the hypersurface deformation algebra. In the considered cases, classical space-time originates at the critical point associated with a second-order phase transition. Relation between the gravitational phase transitions and the corresponding change of symmetry is underlined.

scholarly journals P–V criticality in the extended phase–space of charged accelerating AdS black holes

2016 ◽  
Vol 31 (37) ◽  
pp. 1650199 ◽  
Author(s):  
Hang Liu ◽  
Xin-He Meng
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Space ◽  
Dynamic Pressure ◽  
Simple Relation ◽  
Extended Phase ◽  
Small Black Hole ◽  
Ads Black Holes ◽  
Large Phase

In this paper, we investigate the P–V criticality and phase transition of charged accelerating AdS black holes in the extended thermodynamic phase–space in analogy between black hole system and van der Waals liquid–gas system, where the cosmological constant [Formula: see text] is treated as a thermodynamical variable interpreted as dynamic pressure and its conjugate quantity is the thermodynamic volume of the black holes. When the electric charge vanishes, we find that no P–V criticality will appear but the Hawking–Page-like phase transition will be present, just as what Schwarzschild-AdS black holes behave like. For the charged case, the P–V criticality appears and the accelerating black holes will undergo a small black hole/large phase transition under the condition that the acceleration parameter A and the horizon radius rh meet a certain simple relation Arh = a, where a is a constant in our discussion. To make P–V criticality appear, there exists an upper bounds for constant a. When P–V criticality appears, we calculate the critical pressure P[Formula: see text], critical temperature T[Formula: see text] and critical specific volume r[Formula: see text], and we find that [Formula: see text] is an universal number.

Opposite pressure effects in the orbitally-induced Peierls phase transition systems CuIr2S4 and MgTi2O4

2017 ◽  
Vol 46 (20) ◽  
pp. 6708-6714 ◽  
Author(s):  
Long Ma ◽  
Hui Han ◽  
Wei Liu ◽  
Kaishuai Yang ◽  
Yuanyuan Zhu ◽  
...  
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Applied Pressure ◽  
Pressure Effects ◽  
Orbital Ordering ◽  
Similar Nature ◽  
Transition Systems

The applied pressure has opposite pressure effects on the phase transitions in CuIr2S4 and MgTi2O4, which exhibit phase transitions of a similar nature. The results suggest that the opposite pressure effects originate from the different orbital ordering configurations.

Sign in / Sign up

Export Citation Format

Share Document