Black hole-black string phase transitions from hydrodynamics

Keiichi Maeda, Umpei Miyamoto

    Research output: Contribution to journalArticle

    14 Citations (Scopus)

    Abstract

    We discuss the phase transitions between three states of a plasma fluid (plasma ball, uniform plasma tube, and non-uniform plasma tube), which are dual to the corresponding finite energy black objects (black hole, uniform black string, and non-uniform black string) localized in an asymptotically locally AdS space. Adopting the equation of state for the fluid obtained by the Scherk-Schwarz compactification of a conformal field theory, we obtain axisymmetric static equilibrium states of the plasma fluid and draw the phase diagrams with their thermodynamical quantities. By use of the fluid/gravity correspondence, we predict the phase diagrams of the AdS black holes and strings on the gravity side. The thermodynamic phase diagrams of the AdS black holes and strings show many similarities to those of the black hole-black string system in a Kaluza-Klein vacuum. For instance, the critical dimension for the smooth transition from the uniform to non-uniform strings is the same as that in the Kaluza-Klein vacuum in the canonical ensemble. The analysis in this paper may provide a holographic understanding of the relation between the Rayleigh-Plateau and Gregory-Laflamme instabilities via the fluid/gravity correspondence.

    Original languageEnglish
    Article number066
    JournalJournal of High Energy Physics
    Volume2009
    Issue number3
    DOIs
    Publication statusPublished - 2009

    Fingerprint

    strings
    hydrodynamics
    fluids
    phase diagrams
    gravitation
    tubes
    nonuniform plasmas
    vacuum
    balls
    plateaus
    equations of state
    thermodynamics
    energy

    Keywords

    • AdS-CFT correspondence
    • Black holes in string theory
    • Gauge-gravity correspondence

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Black hole-black string phase transitions from hydrodynamics. / Maeda, Keiichi; Miyamoto, Umpei.

    In: Journal of High Energy Physics, Vol. 2009, No. 3, 066, 2009.

    Research output: Contribution to journalArticle

    @article{ca474b4d34fc4d69b8b789376ddb4a55,
    title = "Black hole-black string phase transitions from hydrodynamics",
    abstract = "We discuss the phase transitions between three states of a plasma fluid (plasma ball, uniform plasma tube, and non-uniform plasma tube), which are dual to the corresponding finite energy black objects (black hole, uniform black string, and non-uniform black string) localized in an asymptotically locally AdS space. Adopting the equation of state for the fluid obtained by the Scherk-Schwarz compactification of a conformal field theory, we obtain axisymmetric static equilibrium states of the plasma fluid and draw the phase diagrams with their thermodynamical quantities. By use of the fluid/gravity correspondence, we predict the phase diagrams of the AdS black holes and strings on the gravity side. The thermodynamic phase diagrams of the AdS black holes and strings show many similarities to those of the black hole-black string system in a Kaluza-Klein vacuum. For instance, the critical dimension for the smooth transition from the uniform to non-uniform strings is the same as that in the Kaluza-Klein vacuum in the canonical ensemble. The analysis in this paper may provide a holographic understanding of the relation between the Rayleigh-Plateau and Gregory-Laflamme instabilities via the fluid/gravity correspondence.",
    keywords = "AdS-CFT correspondence, Black holes in string theory, Gauge-gravity correspondence",
    author = "Keiichi Maeda and Umpei Miyamoto",
    year = "2009",
    doi = "10.1088/1126-6708/2009/03/066",
    language = "English",
    volume = "2009",
    journal = "Journal of High Energy Physics",
    issn = "1126-6708",
    publisher = "Springer Verlag",
    number = "3",

    }

    TY - JOUR

    T1 - Black hole-black string phase transitions from hydrodynamics

    AU - Maeda, Keiichi

    AU - Miyamoto, Umpei

    PY - 2009

    Y1 - 2009

    N2 - We discuss the phase transitions between three states of a plasma fluid (plasma ball, uniform plasma tube, and non-uniform plasma tube), which are dual to the corresponding finite energy black objects (black hole, uniform black string, and non-uniform black string) localized in an asymptotically locally AdS space. Adopting the equation of state for the fluid obtained by the Scherk-Schwarz compactification of a conformal field theory, we obtain axisymmetric static equilibrium states of the plasma fluid and draw the phase diagrams with their thermodynamical quantities. By use of the fluid/gravity correspondence, we predict the phase diagrams of the AdS black holes and strings on the gravity side. The thermodynamic phase diagrams of the AdS black holes and strings show many similarities to those of the black hole-black string system in a Kaluza-Klein vacuum. For instance, the critical dimension for the smooth transition from the uniform to non-uniform strings is the same as that in the Kaluza-Klein vacuum in the canonical ensemble. The analysis in this paper may provide a holographic understanding of the relation between the Rayleigh-Plateau and Gregory-Laflamme instabilities via the fluid/gravity correspondence.

    AB - We discuss the phase transitions between three states of a plasma fluid (plasma ball, uniform plasma tube, and non-uniform plasma tube), which are dual to the corresponding finite energy black objects (black hole, uniform black string, and non-uniform black string) localized in an asymptotically locally AdS space. Adopting the equation of state for the fluid obtained by the Scherk-Schwarz compactification of a conformal field theory, we obtain axisymmetric static equilibrium states of the plasma fluid and draw the phase diagrams with their thermodynamical quantities. By use of the fluid/gravity correspondence, we predict the phase diagrams of the AdS black holes and strings on the gravity side. The thermodynamic phase diagrams of the AdS black holes and strings show many similarities to those of the black hole-black string system in a Kaluza-Klein vacuum. For instance, the critical dimension for the smooth transition from the uniform to non-uniform strings is the same as that in the Kaluza-Klein vacuum in the canonical ensemble. The analysis in this paper may provide a holographic understanding of the relation between the Rayleigh-Plateau and Gregory-Laflamme instabilities via the fluid/gravity correspondence.

    KW - AdS-CFT correspondence

    KW - Black holes in string theory

    KW - Gauge-gravity correspondence

    UR - http://www.scopus.com/inward/record.url?scp=67649512209&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=67649512209&partnerID=8YFLogxK

    U2 - 10.1088/1126-6708/2009/03/066

    DO - 10.1088/1126-6708/2009/03/066

    M3 - Article

    VL - 2009

    JO - Journal of High Energy Physics

    JF - Journal of High Energy Physics

    SN - 1126-6708

    IS - 3

    M1 - 066

    ER -