\begin{document}$ G_{\rm L} $\end{document}) is treated as a function of the black hole horizon, which is the order parameter of the phase transition due to thermal fluctuation. From the viewpoint of \begin{document}$ G_{\rm L} $\end{document}, the stable HPBH/LPBL states correspond to two wells of \begin{document}$ G_{\rm L} $\end{document}, which have the same depth. The unstable intermediate-potential black hole state corresponds to the local maximum of \begin{document}$ G_{\rm L} $\end{document}. Then we focus on the probability evolution governed by the Fokker–Planck equation. Through solving the Fokker–Planck equation with different reflection/absorption boundary conditions and initial conditions, the dynamics of switching between the coexistent HPBH and LPBL phases is probed within the first passage time. Furthermore, the effect of temperature on the dynamic properties of the phase transition is also investigated."> Dynamic property of phase transition for non-linear charged anti-de Sitter black holes -
  • [1]

    S. W. Hawking and Don N. Page, Commun. Math. Phys.87, 577-588 (1983)

  • [2]

    E. Witten, Adv. Theor. Math. Phys.2, 505 (1998), arXiv:hep-th/9803131

  • [3]

    N. Altamirano, D. Kubiznak, and R. B. Mann, Phys. Rev. D88, 101502 (2013), arXiv:1306.5756

  • [4]

    R. A. Hennigar, E. Tjoa, and R. B. Mann, J. High Energ. Phys., 70 (2017), arXiv:1612.06852

  • [5]

    R. A. Hennigar and R. B. Mann, Phys. Rev. Lett.118, 021301 (2017), arXiv:1609.02564

  • [6]

    A. M. Frassino, D. Kubiznak, R. B. Mann,et al., JHEP09, 080 (2014), arXiv:1406.7015

  • [7]

    D. Kubiznak and R. B. Mann, JHEP1207, 033 (2012), arXiv:1205.0559

  • [8]

    R.-G Cai, L.-M Cao, L. Liet al., JHEP(9), (2013), arXiv:1306.6233

  • [9]

    M.-S Ma, R. Zhao, and Y.-S Liu, Classical and Quantum Gravity34, 165009 (2017), arXiv:1604.06998

  • [10]

    M.-S Ma and R.-H Wang, Phys, Rev. D96, 024052 (2017), arXiv:1707.09156

  • [11]

    M. Mir and R. B. Mann, Phys. Rev. D95, 024005 (2017), arXiv:1610.05281

  • [12]

    R. Banerjee, B. R. Majhi, and S. Samanta, Phys. Lett. B767, 25 (2017), arXiv:1611.06701

  • [13]

    R. Banerjee and D. Roychowdhury, JHEP11, 004 (2011), arXiv:1109.2433

  • [14]

    S. H. Hendi and A. Dehghani, Eur. Phys. J. C79, 227 (2019), arXiv:1811.01018

  • [15]

    F. Simovic and R. B. Mann, Class. Quant. Grav.36, 014002 (2019), arXiv:1807.11875

  • [16]

    R. A. Hennigar, D. Kubiznak, and R. B. Mann, Phys. Rev. D100, 064055 (2019), arXiv:1903.08668

  • [17]

    S. Mbarek and R. B. Mann, JHEP02, 103 (2019), arXiv:1808.03349

  • [18]

    D. Kubiznak and F. Simovic, Classical and Quantum Gravity33, 24 (2016), arXiv:1507.08630

  • [19]

    X.-Y Guo, H.-F Li, L.-C Zhanget al., Phys. Rev. D100, 064036 (2019)

  • [20]

    H.-F Li, H.-H Zhao, L.-C Zhanget al., Eur. Phys. J. C77, 295 (2017)

  • [21]

    H.-H Zhao, L.-C Zhang, M. S. Maet al., Class. Quantum Grav.32, 145007 (2015)

  • [22]

    Y.-B Ma, Y. Zhang, L.-Ch Zhanget al., Eur. Phys. J. C81, 42 (2021)

  • [23]

    Y.-B Ma, R. Zhao, and S. Cao, Eur. Phys. J. C76, 669 (2016)

  • [24]

    L.-C Zhang, R. Zhao, and M.-S Ma, Phys. Lett. B761, 74-76 (2016)

  • [25]

    R. Zhou and S.-W Wei, Phys. Lett. B 792 (2019) 406, arXiv: 1901.06617. S.-W Wei and Y.-X Liu, Phys. Rev. D100, 064004 (2019), arXiv: 1905.12187

  • [26]

    J. Dinsmore, P. Draper, D. Kastoret al., Class. Quant. Grav.37, 5 (2020), arXiv:1907.00248

  • [27]

    R.-G Cai, L.-M Cao, L. Liet al., JHEP9, 1 (2013), arXiv:1306.6233

  • [28]

    S.-W Wei and Y.-X Liu, Phys. Rev. D87, 044014 (2013), arXiv:1209.1707

  • [29]

    M. M. Caldarelli, G. Cognola, and D. Klemm, Class. Quant. Grav.17, 399 (2000), arXiv:9908022

  • [30]

    S.-W Wei and Y.-X Liu, Phys. Rev. Lett115, 111302 (2015)

  • [31]

    S. H. Hendi, R. B. Mann, S. Panahiyanet al., Phys. Rev. D95, 021501 (2017), arXiv:1702.00432

  • [32]

    K. Bhattacharya, B. R. Majhi, and S. Samanta, Phys. Rev. D96, 084037 (2017)

  • [33]

    X.-X Zeng and L.-F Li, Phys. Lett. B764, 100 (2017)

  • [34]

    S. H. Hendi, Z. S. taghadomi, and C. Corda, Phys. Rev. D97, 084039 (2018), arXiv:1803.10767

  • [35]

    J.-L Zhang, R.-G Cai, and H.-W Yu, Phys.Rev. D91, 044028 (2015), arXiv:1502.01428

  • [36]

    P. Cheng, S.-W Wei, and Y.-X Liu, Phys. Rev. D94, 024025 (2016), arXiv:1603.08694

  • [37]

    D.-C Zou, Y.-Q Liu, and R.-H Yue, Eur. Phys. J. C77, 365 (2017), arXiv:1702.08118

  • [38]

    B. P. Dolan, Class. Quant. Grav.31, 135012 (2014), arXiv:1308.2672

  • [39]

    N. Altamirano, D. Kubiznak, R. B. Mannet al., Class. Quant. Grav.31, 042001 (2014), arXiv:1308.2672

  • [40]

    Y.-Z Du, H.-F Li, F. Liuet al., Chin. Phys. C45, 11 (2021)

  • [41]

    Y.-Z Du, R. Zhao, and L.-C Zhang,Continuous Phase Transition of the higher-dimensional topological de-Sitter Spacetime with the Non-linear Source, arXiv: 2104.10309

  • [42]

    Y. Zhang, W.-Q Wang, Y.-B Maet al., Adv. H. E. Phys.2020, 7263059 (2020), arXiv:2004.06796

  • [43]

    G. Ruppeiner, Re. Mod. Phys.67, 605 (1995)

  • [44]

    G. Ruppeiner, Springer Proc. Phys.153, 179-203 (2014), arXiv:1309.0901

  • [45]

    G. Ruppeiner, Entropy20, 460 (2018), arXiv:1803.08990

  • [46]

    G. Ruppeiner, Phys. Rev. D78, 024016 (2008), arXiv:0802.1326

  • [47]

    G. Ruppeiner, J. Phys.: Conf. Series410, 012138 (2013), arXiv:1210.2011

  • [48]

    Y.-G Miao and Z.-M Xu, Nucl. Phys. B942, 205-220 (2019), arXiv:1711.01757

  • [49]

    Y.-G Miao and Z.-M Xu, Eur. Phys. J. C77, 403 (2017), arXiv:1610.01769

  • [50]

    R. Li and J. Wang, Phys. Rev. D102, 024085 (2020)

  • [51]

    R. Li, K. Zhang, and J. Wang, Phys. Rev. D104(8), 084060 (2021), arXiv:2105.00229

  • [52]

    R. Li, K. Zhang, and J. Wang, JHEP10, 090 (2020), arXiv:2008.00495

  • [53]

    S.-W Wei, Y.-X Liu, and Y.-Q Wang, Nucl. Phys. B976, 115692 (2022), arXiv:2009.05215

  • [54]

    S.-W Wei, Y.-Q Wang, Y.-X Liuet al., Sci. China Phys. Mech. Astron.64, 7 (2021), arXiv:2102.00799

  • [55]

    S.-J Yang, R. Zhou, S.-W Weiet al.,Dynamics and kinetics of phase transition for Kerr AdS black hole on free energy landscape, arXiv: 2105.00491

  • [56]

    A. N Kumara, S. Punacha, K. Hegdeet al.,Dynamics and kinetics of phase transition for regular AdS black holes in general relativity coupled to non-linear electrodynamics, arXiv: 2106.11095

  • [57]

    J.-X Mo and S.-Q Lan,Dynamic phase transition of charged dilaton black holes, arXiv: 2105.00868

  • [58]

    A. Chamblin, R. Emparan, C. V. Johnsonet al., Phys. Rev. D60(104026), (1999)

  • [59]

    A. Chamblin, R. Emparan, C. V. Johnsonet al., Phys. Rev. D60, 064018 (1999), arXiv:hep-th/9902170

  • [60]

    C. V. Johnson, Mod. Phys. Lett. A33(2018), 1850175 (2018), arXiv:1705.01154

  • [61]

    C. V. Johnson, Phys. Rev. D98, 026008 (2018), arXiv:1703.06119

  • [62]

    M. Born,On the Quantum Theory of the Electromagnetic Field, Proc. Roy. Soc. Lond. A143(849), 399-410 (1934)http://www.jstor.org/stable/96100

  • [63]

    Y. Kats, L. Motl, and M. Padi, Journal of High Energy Physics12, 068 (2007)

  • [64]

    D. Anninos and G. Pastras, Journal of High Energy Physics07, 030 (2009), arXiv:0807.3478

  • [65]

    R.-G. Cai, Z.-Y. Nie, and Y.-W. Sun, Phys. Rev. D78, 126007 (2008), arXiv:0811.1665

  • [66]

    N. Seiberg and E. Witten, Journal of High Energy Physics09, 032 (1999), arXiv:hep-th/9908142

  • [67]

    P. Dirac,Lectures on Quantum Mechanics, Dover Books on Physics (Dover Publications, 2013)

  • [68]

    Z. Bialynicka-Birula and I. Bialynicki-Birula, Phys. Rev. D2, 2341 (1970)

  • [69]

    H. El Moumni, Phys. Lett. B776, 124 (2018)

  • [70]

    M. Zhang, Z.-Y. Yang, D.-C. Zouet al., Gen. Rel. Grav.47, 14 (2015), arXiv:1412.1197

  • [71]

    C. Corda and H. J. Mosquera Cuesta, Astropart. Phys.34, 587 (2011), arXiv:1011.4801[physics.gen-ph

  • [72]

    S. H. Mazharimousavi and M. Halilsoy, Phys. Lett. B681, 190 (2009), arXiv:0908.0308

  • [73]

    V. A. De Lorenci, R. Klippert, M. Novelloet al., Phys. Rev. D65, 063501 (2002)

  • [74]

    P. K. Yerra and C. Bhamidipati, Mod. Phys. Lett. A34, 27 (2019), arXiv:1806.08226

Baidu
map