Continuous phase transition of higher-dimensional de-Sitter spacetime with non-linear source

For the higher-dimensional dS spacetime embedded with black holes with non-linear charges, there are two horizons with different radiation temperatures. By introducing the interplay between two horizons this system can be regarded as an ordinary thermodynamic system in the thermodynamic equilibrium...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2022-04, Vol.82 (4), p.1-12, Article 370
Main Authors: Du, Yun-Zhi, Li, Huai-Fan, Zhang, Li-Chun
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Black holes
Critical point
Elementary Particles
Gibbs free energy
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Spacetime
Specific heat
String Theory
Thermal expansion
Thermodynamic equilibrium
Thermodynamic properties
Thermodynamics
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Summary:For the higher-dimensional dS spacetime embedded with black holes with non-linear charges, there are two horizons with different radiation temperatures. By introducing the interplay between two horizons this system can be regarded as an ordinary thermodynamic system in the thermodynamic equilibrium described by the thermodynamic quantities ( T eff , P eff , V , S , Φ eff ). In this work, our focus is on the thermodynamic properties of phase transition for the four-dimensional dS spacetime with different values of the charge correction ϕ ¯ . We find that with the increasing of the non-linear charge correction the two horizons get closer and closer, and the correction entropy is negative which indicates the interaction between the two horizons stronger and stronger. Furthermore, the heat capacity at constant pressure, isobaric expansion coefficient, and the isothermal compression coefficient have the Schottky peak at the critical point. However, the heat capacity as constant volume for the dS spacetime is nonzero. Finally, the dynamical properties of phase transition for this system have investigated based on Gibbs free energy, where exists the different behavior with that for AdS black holes.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-022-10324-x