Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics
Abstract In this paper, we take into account the dilaton black hole solutions of Einstein gravity in the presence of logarithmic and exponential forms of nonlinear electrodynamics. First of all, we consider the cosmological constant and nonlinear parameter as thermodynamic quantities which can vary....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5623-5 |
| _version_ | 1818215443433783296 |
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| author | Z. Dayyani A. Sheykhi M. H. Dehghani S. Hajkhalili |
| author_facet | Z. Dayyani A. Sheykhi M. H. Dehghani S. Hajkhalili |
| author_sort | Z. Dayyani |
| collection | DOAJ |
| description | Abstract In this paper, we take into account the dilaton black hole solutions of Einstein gravity in the presence of logarithmic and exponential forms of nonlinear electrodynamics. First of all, we consider the cosmological constant and nonlinear parameter as thermodynamic quantities which can vary. We obtain thermodynamic quantities of the system such as pressure, temperature and Gibbs free energy in an extended phase space. We complete the analogy of the nonlinear dilaton black holes with the Van der Waals liquid–gas system. We work in the canonical ensemble and hence we treat the charge of the black hole as an external fixed parameter. Moreover, we calculate the critical values of temperature, volume and pressure and show that they depend on the dilaton coupling constant as well as on the nonlinear parameter. We also investigate the critical exponents and find that they are universal and independent of the dilaton and nonlinear parameters, which is an expected result. Finally, we explore the phase transition of nonlinear dilaton black holes by studying the Gibbs free energy of the system. We find that in the case of $$T>T_c$$ T>Tc , we have no phase transition. When $$T=T_c$$ T=Tc , the system admits a second-order phase transition, while for $$T=T_\mathrm{f}<T_c$$ T=Tf<Tc the system experiences a first-order transition. Interestingly, for $$T_\mathrm{f}<T<T_c$$ Tf<T<Tc we observe a zeroth-order phase transition in the presence of a dilaton field. This novel zeroth-order phase transition occurs due to a finite jump in the Gibbs free energy which is generated by the dilaton–electromagnetic coupling constant, $$\alpha $$ α , for a certain range of pressure. |
| first_indexed | 2024-12-12T06:36:10Z |
| format | Article |
| id | doaj.art-29b9a158b5ed4b9188656aba3a3f50d2 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-12T06:36:10Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-29b9a158b5ed4b9188656aba3a3f50d22022-12-22T00:34:28ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-02-0178211910.1140/epjc/s10052-018-5623-5Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamicsZ. Dayyani0A. Sheykhi1M. H. Dehghani2S. Hajkhalili3Physics Department and Biruni Observatory, College of Sciences, Shiraz UniversityPhysics Department and Biruni Observatory, College of Sciences, Shiraz UniversityPhysics Department and Biruni Observatory, College of Sciences, Shiraz UniversityPhysics Department and Biruni Observatory, College of Sciences, Shiraz UniversityAbstract In this paper, we take into account the dilaton black hole solutions of Einstein gravity in the presence of logarithmic and exponential forms of nonlinear electrodynamics. First of all, we consider the cosmological constant and nonlinear parameter as thermodynamic quantities which can vary. We obtain thermodynamic quantities of the system such as pressure, temperature and Gibbs free energy in an extended phase space. We complete the analogy of the nonlinear dilaton black holes with the Van der Waals liquid–gas system. We work in the canonical ensemble and hence we treat the charge of the black hole as an external fixed parameter. Moreover, we calculate the critical values of temperature, volume and pressure and show that they depend on the dilaton coupling constant as well as on the nonlinear parameter. We also investigate the critical exponents and find that they are universal and independent of the dilaton and nonlinear parameters, which is an expected result. Finally, we explore the phase transition of nonlinear dilaton black holes by studying the Gibbs free energy of the system. We find that in the case of $$T>T_c$$ T>Tc , we have no phase transition. When $$T=T_c$$ T=Tc , the system admits a second-order phase transition, while for $$T=T_\mathrm{f}<T_c$$ T=Tf<Tc the system experiences a first-order transition. Interestingly, for $$T_\mathrm{f}<T<T_c$$ Tf<T<Tc we observe a zeroth-order phase transition in the presence of a dilaton field. This novel zeroth-order phase transition occurs due to a finite jump in the Gibbs free energy which is generated by the dilaton–electromagnetic coupling constant, $$\alpha $$ α , for a certain range of pressure.http://link.springer.com/article/10.1140/epjc/s10052-018-5623-5 |
| spellingShingle | Z. Dayyani A. Sheykhi M. H. Dehghani S. Hajkhalili Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics European Physical Journal C: Particles and Fields |
| title | Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics |
| title_full | Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics |
| title_fullStr | Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics |
| title_full_unstemmed | Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics |
| title_short | Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics |
| title_sort | critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5623-5 |
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