arXiv : Hybrid Fluid Models from Mutual Effective Metric Couplings

Kurkela, Aleksi; Soloviev, Alexander; Mukhopadhyay, Ayan; Preis, Florian; Rebhan, Anton

doi:10.1007/JHEP08(2018)054

Article
Report number	arXiv:1805.05213
Title	Hybrid Fluid Models from Mutual Effective Metric Couplings
Author(s)	Kurkela, Aleksi (CERN ; Stavanger U.) ; Mukhopadhyay, Ayan (Vienna, Tech. U. ; Indian Inst. Tech., Madras) ; Preis, Florian (Vienna, Tech. U.) ; Rebhan, Anton (Vienna, Tech. U.) ; Soloviev, Alexander (Vienna, Tech. U.)
Publication	2018-08-13
Imprint	2018-05-14
Number of pages	55
Note	1+54 pages, 15 figures; v3: minor additions, synced with JHEP version
In:	JHEP 08 (2018) 054
DOI	10.1007/JHEP08(2018)054
Subject category	nucl-th ; Nuclear Physics - Theory ; hep-th ; Particle Physics - Theory ; hep-ph ; Particle Physics - Phenomenology
Abstract	Motivated by a semi-holographic approach to the dynamics of quark-gluon plasma which combines holographic and perturbative descriptions of a strongly coupled infrared and a more weakly coupled ultraviolet sector, we construct a hybrid two-fluid model where interactions between its two sectors are encoded by their effective metric backgrounds, which are determined mutually by their energy-momentum tensors. We derive the most general consistent ultralocal interactions such that the full system has a total conserved energy-momentum tensor in flat Minkowski space and study its consequences in and near thermal equilibrium by working out its phase structure and its hydrodynamic modes.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0)

$Attenuation coefficients $\Gamma_{a,b}$ of the sound eigenmodes (slower mode $a$ in blue, faster mode $b$ in orange) for unequal conformal systems with different $\kappa$. The black line gives the Kubo formula result for sound attenuation.$ $Left panel: Pressure (black line) and trace of the energy-momentum tensor (red) divided by $\TT^4$, with the asymptotic value of the pressure indicated by the short dashed line; right panel: speed of sound squared (full black line) -- both for $\no=\nt=1$ and $r=2$. As $\gqT$ increases from small to large values, a crossover between regimes with different values of $\PT/\TT^4$ takes place that is accompanied by a dip in the speed of sound which takes on a conformal value in both asymptotic regimes. At large $\gqT$ and for sufficiently low values of $r$ (including the case $r=2$ at hand), the speed of sound in the full system turns out to be larger than the effective lightcone speed $\v$ of the subsystems (green dashed line: $\v^2$).$ $The relation between the velocity amplitudes $\wo$ and $\wt$ of the shear eigenmodes displayed in Fig.~\ref{fig:TDs} in the form $\xi\equiv \frac{2}{\pi}\arctan(\wt/\wo)$. A value of $\xi=0$ or $\xi=\pm1$ (with these two latter values to be identified) means that the mode is carried only by subsystem 1 or 2, respectively; $\xi=0.5$ or $\xi=-0.5$ corresponds to exactly equal amplitudes with equal or opposite phase.$ Show more plots

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