scholarly journals New Phase Transition Related to the Black Hole’s Topological Charge

2019 ◽  
Vol 2019 ◽  
pp. 1-8
Author(s):  
Shan-Quan Lan ◽  
Gu-Qiang Li ◽  
Jie-Xiong Mo ◽  
Xiao-Bao Xu
Keyword(s):  
Phase Transition ◽  
Specific Heat ◽  
Topological Charge ◽  
Energy Analysis ◽  
Van Der Waals ◽  
Tail Behavior ◽  
Maxwell Theory ◽  
Free Energy Analysis ◽  
Physical Quantities ◽  
New Phase

The topological charge ϵ of AdS black hole is introduced by Tian et al. in their papers, where a complete thermodynamic first law is obtained. In this paper, we investigate a new phase transition related to the topological charge in Einstein-Maxwell theory. Firstly, we derive the explicit solutions corresponding to the divergence of specific heat Cϵ and determine the phase transition critical point. Secondly, the T-r curve and T-S curve are investigated and they exhibit an interesting van der Waals system’s behavior. Critical physical quantities are also obtained which are consistent with those derived from the specific heat analysis. Thirdly, a van der Waals system’s swallow tail behavior is observed when ϵ>ϵc in the F-T graph. What is more, the analytic phase transition coexistence lines are obtained by using the Maxwell equal area law and free energy analysis, the results of which are consistent with each other.

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 Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Shan-Quan Lan
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Electric Charge ◽  
Topological Charge ◽  
Canonical Ensemble ◽  
Oscillatory Behavior ◽  
Tail Behavior ◽  
Extended Thermodynamic ◽  
New Perspective ◽  
Analytical Phase

Phase transition of RN-AdS black hole is investigated from a new perspective. Not only is the cosmological constant treated as pressure but also the spatial curvature of black hole is treated as topological charge ϵ. We obtain the extended thermodynamic first law from which the mass is naturally viewed as enthalpy rather than internal energy. In canonical ensemble with fixed topological charge and electric charge Q, interesting van der Waals like oscillatory behavior in T-S and P-V graphs and swallow tail behavior in G-T and G-P graphs is observed. By applying the Maxwell equal area law and analysing the Gibbs free energy, we obtain analytical phase transition coexistence curves which are consistent with each other. The phase diagram is four dimensional with T,P,Q,ϵ.

THE STUDY OF PHASE TRANSITION BY PERIODIC DISTRIBUTION OF BIMODAL BONDS IN 2D POTTS MODEL

2009 ◽  
Vol 20 (02) ◽  
pp. 223-236
Author(s):  
FATIH YAŞAR ◽  
MEHMET DILAVER
Keyword(s):  
Phase Transition ◽  
Specific Heat ◽  
Potts Model ◽  
Probability Distributions ◽  
Point Of View ◽  
Single Peak ◽  
Simulation Methods ◽  
Two Dimensional ◽  
Periodic Distribution ◽  
Physical Quantities

We have studied the influence of the distribution of bimodal bonds on the phase transition in two-dimensional 8-state Potts model by the recently proposed Wang–Landau (WL) and the Swendsen–Wang (SW) algorithm. All simulations and measurements are done for r = 0.5. Physical quantities such as energy density and specific heat are evaluated at all temperatures. We have also obtained the probability distributions of the energy in order to monitor the transitions. We have observed that some cases of the periodically arranged bond distributions show a single peak, and some cases show double or triple peaks in the specific heat. Besides, it seems that the appearing of these peaks in the specific heat relates to a blocking procedure for periodicity. When the number of interaction pairs between the bimodal bonds is increased on the lattice with the blocking procedure, one can observe a single peak, otherwise, one can observe a double or triple peaks in the specific heat. From the point of view of simulation methods, the WL algorithm also works efficiently in the simulation of the system for a periodically arranged bond distribution as well as the SW algorithm.

INFLUENCE OF AN EXTERNAL MAGNETIC FIELD ON THE DYNAMICS OF A NEW-PHASE NUCLEUS IN THE VICINITY OF THE FIRST-ORDER PHASE TRANSITION IN MAGNETS WITH DEFECTS PRESENT

2012 ◽  
Vol 26 (28) ◽  
pp. 1250183 ◽  
Author(s):  
VLADIMIR NAZAROV ◽  
RISHAT SHAFEEV
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
External Magnetic Field ◽  
Magnetic Anisotropy ◽  
Spin Reorientation ◽  
Critical Fields ◽  
First Order ◽  
Phase Nucleus ◽  
First Order Phase Transition ◽  
New Phase

Theoretically, with the aid of a soliton model, the evolution of a new-phase nucleus near the first-order spin-reorientation phase transition in magnets has been investigated in an external magnetic field. The influence of an external field and one-dimensional defects of magnetic anisotropy on the dynamics of such nucleus has been demonstrated. The conditions for the localization of the new-phase nucleus in the region of the magnetic anisotropy defect and for its escape from the defect have been determined. The values of the critical fields which bring about the sample magnetization reversal have been identified and estimated.

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