海沃德 AdS 黑洞的李亚普诺夫指数和相变

IF 4.2 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS The European Physical Journal C Pub Date : 2024-11-13 DOI:10.1140/epjc/s10052-024-13520-z
Naba Jyoti Gogoi, Saumen Acharjee, Prabwal Phukon
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引用次数: 0

摘要

本文研究了 4D 海沃德反德西特(AdS)黑洞的相变与 Lyapunov 指数之间的关系。我们考虑了无质量粒子和大质量粒子围绕海沃德 AdS 黑洞在赤道平面上的不稳定圆形轨道的运动,并计算了相应的 Lyapunov 指数。研究发现,多值李亚普诺夫指数很好地描述了相变过程。我们还发现,海沃德 AdS 黑洞的不同阶段与 Lyapunov 指数的不同分支相吻合。我们还研究了 Lyapunov 指数的不连续变化,发现它可以作为临界点附近的阶次参数。在临界点附近,Lyapunov 指数变化的临界指数为 1/2。
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Lyapunov exponents and phase transition of Hayward AdS black hole

In this paper, we study the relationship between the phase transition and Lyapunov exponents for 4D Hayward anti-de Sitter (AdS) black hole. We consider the motion of massless and massive particles around an unstable circular orbit of the Hayward AdS black hole in the equatorial plane and calculate the corresponding Lyapunov exponents. The phase transition is found to be well described by the multivaled Lyapunov exponents. It is also found that different phases of Hayward AdS black hole coincide with different branches of the Lyapunov exponents. We also study the discontinuous change in the Lyapunov exponents and find that it can serve as an order parameter near the critical point. The critical exponent of change in Lyapunov exponent near the critical point is found to be 1/2.

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来源期刊
The European Physical Journal C
The European Physical Journal C 物理-物理:粒子与场物理
CiteScore
8.10
自引率
15.90%
发文量
1008
审稿时长
2-4 weeks
期刊介绍: Experimental Physics I: Accelerator Based High-Energy Physics Hadron and lepton collider physics Lepton-nucleon scattering High-energy nuclear reactions Standard model precision tests Search for new physics beyond the standard model Heavy flavour physics Neutrino properties Particle detector developments Computational methods and analysis tools Experimental Physics II: Astroparticle Physics Dark matter searches High-energy cosmic rays Double beta decay Long baseline neutrino experiments Neutrino astronomy Axions and other weakly interacting light particles Gravitational waves and observational cosmology Particle detector developments Computational methods and analysis tools Theoretical Physics I: Phenomenology of the Standard Model and Beyond Electroweak interactions Quantum chromo dynamics Heavy quark physics and quark flavour mixing Neutrino physics Phenomenology of astro- and cosmoparticle physics Meson spectroscopy and non-perturbative QCD Low-energy effective field theories Lattice field theory High temperature QCD and heavy ion physics Phenomenology of supersymmetric extensions of the SM Phenomenology of non-supersymmetric extensions of the SM Model building and alternative models of electroweak symmetry breaking Flavour physics beyond the SM Computational algorithms and tools...etc.
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