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Thermodynamics and instabilities of a strongly coupled anisotropic plasma

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Abstract

We extend our analysis of a IIB supergravity solution dual to a spatially anisotropic finite-temperature \( \mathcal{N} = 4 \) super Yang-Mills plasma. The solution is static, possesses an anisotropic horizon, and is completely regular. The full geometry can be viewed as a renormalization group flow from an AdS geometry in the ultraviolet to a Lifshitz-like geometry in the infrared. The anisotropy can be equivalently understood as resulting from a position-dependent θ-term or from a non-zero number density of dissolved D7-branes. The holographic stress tensor is conserved and anisotropic. The presence of a conformal anomaly plays an important role in the thermodynamics. The phase diagram exhibits homogeneous and inhomogeneous (i.e. mixed) phases. In some regions the homogeneous phase displays instabilities reminiscent of those of weakly coupled plasmas. We comment on similarities with QCD at finite baryon density and with the phenomenon of cavitation.

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  1. Institució Catalana de Recerca i Estudis Avançats (ICREA), Passeig Lluís Companys 23, E-08010, Barcelona, Spain

    David Mateos

  2. Departament de Física Fonamental (FFN) & Institut de Ciències del Cosmos (ICC), Universitat de Barcelona (UB), Martí i Franquès 1, E-08028, Barcelona, Spain

    David Mateos

  3. Department of Physics, University of Wisconsin, Madison, WI, 53706, U.S.A.

    Diego Trancanelli

  4. Department of Physics, University of California, Santa Barbara, CA, 93106, U.S.A.

    Diego Trancanelli

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Mateos, D., Trancanelli, D. Thermodynamics and instabilities of a strongly coupled anisotropic plasma. J. High Energ. Phys. 2011, 54 (2011). https://doi.org/10.1007/JHEP07(2011)054

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