On the thermodynamics of the black hole and hairy black hole transitions in the asymptotically flat spacetime with a box

Abstract

We study the asymptotically flat quasi-local black hole/hairy black hole model with nonzero mass of the scalar filed. We disclose effects of the scalar mass on transitions in a grand canonical ensemble with condensation behaviors of a parameter ${\psi }_2$, which is similar to approaches in holographic theories. We find that more negative scalar mass makes the phase transition easier to happen. We also obtain an analytical relation ${\psi }_2\propto (T_c-T{)}^{1/2}$ around the critical phase transition points implying a second order phase transition. Besides the parameter ${\psi }_2$, we show that metric solutions can be used to disclose properties of transitions. In this work, we observe that phase transitions in a box are strikingly similar to holographic transitions in the AdS gravity and the similarity provides insights into holographic theories.

12 pages, 6 figures. Accepted for publication in EPJC. arXiv admin note: text overlap with arXiv:1705.08694

References in corpus (25)

• Building an AdS/CFT superconductor
• Holographic Superconductors with Various Condensates
• Kerr-Newman scalar clouds
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Complete Phase Diagrams for a Holographic Superconductor/Insulator System
• A Rotating Holographic Superconductor
• Analytical Studies on Holographic Insulator/Superconductor Phase Transitions
• Gauss-Bonnet Holographic Superconductors
• The superradiant instability regime of the spinning Kerr black hole
• Inside black holes with synchronized hair
• Charged Black Hole in a Canonical Ensemble
• Competing Holographic Orders
• Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor Model
• Various types of phase transitions in the AdS soliton background
• Building a Holographic Superconductor with a Scalar Field Coupled Kinematically to Einstein Tensor
• Note on the butterfly effect in holographic superconductor models
• Phase transitions and critical behavior of black branes in canonical ensemble
• Holographic entanglement entropy in general holographic superconductor models
• Holographic Entanglement Entropy in 2D Holographic Superconductor via $Ad{S}_3/CF{T}_2$
• Effect of scalar field mass on gravitating charged scalar solitons and black holes in a cavity
• Phases of Global AdS Black Holes
• Studies of a general flat space/boson star transition model in a box through a language similar to holographic superconductors
• Nonlinear Transport in a Two Dimensional Holographic Superconductor
• A general holographic metal/superconductor phase transition model
• Momentum Analyticity of Transverse Polarization Tensor in the Normal Phase of a Holographic Superconductor

Cited by in corpus (33)

• Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity
• Thermodynamics and Phase Transition of a Nonlinear Electrodynamics Black Hole in a Cavity
• Circular orbit of a test particle and phase transition of a black hole
• Phase Structures and Transitions of Born-Infeld Black Holes in a Grand Canonical Ensemble
• Thermodynamics and Phase Transition of a Gauss-Bonnet Black Hole in a Cavity
• On instabilities of scalar hairy regular compact reflecting stars
• Static scalar field condensation in regular asymptotically AdS reflecting star backgrounds
• Hair mass bound in the black hole with nonzero cosmological constants
• Extended Phase Space Thermodynamics for Black Holes in a Cavity
• Scalar field condensation behaviors around reflecting shells in Anti-de Sitter spacetimes
• Hawking--Page phase transitions of the black holes in a cavity
• Hair formation in the background of noncommutative reflecting stars
• Thermodynamic Geometry of Black Holes Enclosed by a Cavity in Extended Phase Space
• Validity of Thermodynamic Laws and Weak Cosmic Censorship for AdS Black Holes and Black Holes in a Cavity
• Scalarization of compact stars in the scalar-Gauss-Bonnet gravity
• Phase Structures and Transitions of Quintessence Surrounding RN Black Holes in a Grand Canonical Ensemble
• On the dual relation in the Hawking--Page phase transition of the black holes in a cavity
• Thermodynamics and phase transition of BTZ black hole in a cavity
• Upper bound on the radii of regular ultra-compact star photonspheres
• Influence of dark matter on black hole scalar hair
• Analytical investigations on formations of hairy neutral reflecting shells in the scalar-Gauss-Bonnet gravity
• No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
• Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space
• Large regular reflecting stars have no scalar field hair
• Thermal phase transition in $F(R)$-charged $Ad{S}_4$-scalar theory
• Stationary scalar hairy configurations supported by Neumann compact stars
• No-go theorem for static boson stars with negative cosmological constants
• The Joule--Thomson and Joule--Thomson-like effects of the black holes in a cavity
• Holographic Superconductors: An Analytic Method Revisit
• Final state of instabilities in Born-Infeld black holes
• On instabilities of stationary scalar field configurations supported by reflecting compact stars
• $\ell$-Boson stars in anti-de Sitter spacetime
• Thermodynamics of general flat space and boson star quasi-local systems