scholarly journals Free energy landscape and kinetics of phase transition in two coupled SYK models and the corresponding wormhole-two black hole switching

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Ran Li ◽  
Jin Wang
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Free Energy ◽  
Stochastic Dynamics ◽  
Energy Landscape ◽  
Thermal Fluctuations ◽  
Free Energy Landscape ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Kinetics Of

Abstract We propose that the thermodynamics and the kinetics of the phase transition between wormhole and two black hole described by the two coupled SYK model can be investigated in terms of the stochastic dynamics on the underlying free energy landscape. We assume that the phase transition is a stochastic process under the thermal fluctuations. By quantifying the underlying free energy landscape, we study the phase diagram, the kinetic time and its fluctuations in details, which reveal the underlying thermodynamics and kinetics. It is shown that the first order phase transition between wormhole and two black hole described by two coupled SYK model is analogous to the Van der Waals phase transition. Therefore, the emergence of wormhole and two black hole phases, the phase transition and associated kinetics can be quantitatively addressed in our free energy landscape and kinetic framework through the dependence on the barrier height and the temperature.

scholarly journals Phase transitions of black holes in massive gravity

2016 ◽  
Vol 31 (16) ◽  
pp. 1650096 ◽  
Author(s):  
Sharmanthie Fernando
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Free Energy ◽  
Specific Heat ◽  
Massive Gravity ◽  
De Sitter ◽  
Massive Graviton ◽  
Scalar Charge ◽  
First Order Phase Transition ◽  
First Order Phase

In this paper, we have studied thermodynamics of a black hole in massive gravity in the canonical ensemble. The massive gravity theory in consideration here has a massive graviton due to Lorentz symmetry breaking. The black hole studied here has a scalar charge due to the massive graviton and is asymptotically anti-de Sitter (AdS). We have computed various thermodynamical quantities such as temperature, specific heat and free energy. Both the local and global stability of the black hole are studied by observing the behavior of the specific heat and the free energy. We have observed that there is a first-order phase transition between small (SBH) and large black hole (LBH) for a certain range of the scalar charge. This phase transition is similar to the liquid/gas phase transition at constant temperature for a van der Waals fluid. The coexistence curves for the SBH and LBH branches are also discussed in detail.

Effect of Strain on Barium Titanate Epitaxial Films

2013 ◽  
Vol 547 ◽  
pp. 139-144
Author(s):  
Lye Hock Ong ◽  
A.M. Alrub ◽  
Khian Hooi Chew
Keyword(s):  
Thin Films ◽  
Phase Transition ◽  
Free Energy ◽  
Epitaxial Films ◽  
Ferroelectric Films ◽  
Eighth Order ◽  
First Order ◽  
First Order Phase Transition ◽  
Highly Strained ◽  
First Order Phase

Landau-Ginzburg free energy expression with the normalized coefficients is used to elucidate the phase transition properties of strained ferroelectric films. In particular, we investigate the need to include higher order free energy terms for epitaxial strained BaTiO3 thin films. Our study reveals that the inclusion of eighth-order expression into the free energy is crucial in determining the phase transition of highly-strained BaTiO3 epitaxial films normally grown on thick cubic substrates. The phase transition is found to be second order but the unstrained film undergoes the first order phase transition. On the order hand, the calculation based on the usual sixth-order Landau-Ginzburg expression show that the films have no phase transition, which is contrary to the experimental observations.

scholarly journals Holographic van der Waals Phase Transition for a Hairy Black Hole

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Xiao-Xiong Zeng ◽  
Yi-Wen Han
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Order Phase Transition ◽  
Phase Structure ◽  
Van Der Waals ◽  
Thermal Entropy ◽  
First Order Phase Transition ◽  
Geodesic Length ◽  
First Order Phase ◽  
Hairy Black Hole

The van der Waals (VdW) phase transition in a hairy black hole is investigated by analogizing its charge, temperature, and entropy as the temperature, pressure, and volume in the fluid, respectively. The two-point correlation function (TCF), which is dual to the geodesic length, is employed to probe this phase transition. We find the phase structure in the temperature-thermal entropy plane besides the scale of the horizontal coordinate (geodesic length plane resembles that in the temperature). In addition, we find the equal area law (EAL) for the first-order phase transition and critical exponent of the heat capacity for the second-order phase transition in the temperature-thermal entropy plane (geodesic length plane is consistent with that in temperature), which implies that the TCF is a good probe to probe the phase structure of the back hole.

scholarly journals Thermal dynamic phase transition of Reissner-Nordström Anti-de Sitter black holes on free energy landscape

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Ran Li ◽  
Kun Zhang ◽  
Jin Wang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Free Energy ◽  
First Passage Time ◽  
Energy Landscape ◽  
Planck Equation ◽  
Passage Time ◽  
Free Energy Landscape ◽  
De Sitter ◽  
First Passage

Abstract We explore the thermodynamics and the underlying kinetics of the van der Waals type phase transition of Reissner-Nordström anti-de Sitter (RNAdS) black holes based on the free energy landscape. We show that the thermodynamic stabilities of the three branches of the RNAdS black holes are determined by the underlying free energy landscape topography. We suggest that the large (small) RNAdS black hole can have the probability to switch to the small (large) black hole due to the thermal fluctuation. Such a state switching process under the thermal fluctuation is taken as a stochastic process and the associated kinetics can be described by the probabilistic Fokker-Planck equation. We obtained the time dependent solutions for the probabilistic evolution by numerically solving Fokker-Planck equation with the reflecting boundary conditions. We also investigated the first passage process which describes how fast a system undergoes a stochastic process for the first time. The distributions of the first passage time switching from small (large) to large (small) black hole and the corresponding mean first passage time as well as its fluctuations at different temperatures are studied in detail. We conclude that the mean first passage time and its fluctuations are related to the free energy landscape topography through barrier heights and temperatures.

scholarly journals Free-energy analysis of the nonhysteretic first-order phase transition of Eu2In

2020 ◽  
Vol 102 (13) ◽  
Author(s):  
B. P. Alho ◽  
P. O. Ribeiro ◽  
P. J. von Ranke ◽  
F. Guillou ◽  
Y. Mudryk ◽  
...  
Keyword(s):  
Phase Transition ◽  
Free Energy ◽  
Order Phase Transition ◽  
Energy Analysis ◽  
First Order ◽  
First Order Phase Transition ◽  
Free Energy Analysis ◽  
First Order Phase

scholarly journals Geometric Curvatures of Plane Symmetry Black Hole

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Shao-Wen Wei ◽  
Yu-Xiao Liu ◽  
Chun-E. Fu ◽  
Hai-Tao Li
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Order Phase Transition ◽  
Semiclassical Approximation ◽  
Second Order ◽  
Plane Symmetry ◽  
First Order ◽  
First Order Phase Transition ◽  
Transition Points ◽  
First Order Phase

We study the properties and thermodynamic stability of the plane symmetry black hole from the viewpoint of geometry. We find that the Weinhold curvature gives the first-order phase transition atN=1, whereNis a parameter of the plane symmetry black hole while the Ruppeiner one shows first-order phase transition points for arbitraryN≠1. Considering the Legendre invariant proposed by Quevedo et al., we obtain a unified geometry metric, which contains the information of the second-order phase transition. So, the first-order and second-order phase transitions can be both reproduced from the geometry curvatures. The geometry is also found to be curved, and the scalar curvature goes to negative infinity at the Davie phase transition points beyond semiclassical approximation.

SPONTANEOUS SYMMETRY BREAKING AND FIRST-ORDER PHASE TRANSITIONS OF ADSORBED FLUIDS

2010 ◽  
Vol 20 (02) ◽  
pp. 287-295 ◽  
Author(s):  
SALVADOR A. SARTARELLI ◽  
LESZEK SZYBISZ ◽  
IGNACIO URRUTIA
Keyword(s):  
Phase Transition ◽  
Free Energy ◽  
Symmetry Breaking ◽  
Density Functional ◽  
Spontaneous Breaking ◽  
Functional Formalism ◽  
Density Profiles ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

A density functional formalism is applied to investigate the wetting behavior of Ne confined in slits composed of two parallel solid identical alkaline walls with increasing attractive strength leading to a variety of wetting situations. The study is performed over the complete range of temperature spanned from the triple point Tt up to the critical one Tc of Ne. Attention is paid to the slit's width. It was found that in the case of weaker substrates for temperatures below a certain critical Tsb the density profiles corresponding to the lowest free energy are asymmetric, i.e. exhibit a spontaneous breaking of symmetry. For T > Tsb the phenomenon of symmetry breaking disappears leading to a first-order phase transition.

Epitaxial Free Energy and Stability under Epitaxial Strain

1998 ◽  
Vol 05 (05) ◽  
pp. 983-988 ◽  
Author(s):  
P. M. Marcus
Keyword(s):  
Phase Transition ◽  
Free Energy ◽  
Order Phase Transition ◽  
Tetragonal Phase ◽  
First Order ◽  
Epitaxial Strain ◽  
First Order Phase Transition ◽  
The Stability ◽  
First Order Phase ◽  
Stability Limits

First-principles ground-state total-energy calculations show that tetragonal crystals generally have two structures at which the energy is a minimum, which are appropriately called tetragonal phases in equilibrium. The calculations also show that a small isotropic two-dimensional (epitaxial) strain in the basal plane of a tetragonal phase produces a first-order phase transition to another tetragonal phase, By defining and calculating a special free energy for the states produced by epitaxial strain, the stability limits of each phase and the occurrence of a first-order phase transition between them are clearly demonstrated. Epitaxially strained states and the epitaxial free energy are calculated for vanadium. The epitaxial free energy as a function of the epitaxial stress for these strained states is shown to be similar to free-energy curves calculated for other first-order phase transitions which have analytic descriptions.

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