{"arxiv_id":"1012.1966","incoming":{"papers":7,"sentences":9,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2503.10593","title":"Chiral Magnetic Effect enhancement at lower collision energies","url":"/paper/2503.10593","section":"Discussion and Conclusions","sentence":"We obtain the “late-time\" geometry of the chirally charged expanding plasma, as done in Ref. [ref] , and we are able to derive analytically the (quasi)-equilibrium formula for the chiral magnetic effect in the expanding plasma:","intent_p":0.82,"contests_p":null}]}],"unlabelled_sentences":8},"outgoing":{"papers":27,"sentences":65,"groups":[{"kind":"extends","label":"Builds on","papers":5,"sentences":5,"quotes":[{"arxiv_id":"0807.3797","title":"A Holographic Dual of Bjorken Flow","url":"/paper/0807.3797","section":"Zeroth-order solution and first-order correction","sentence":"We have thus constructed a natural extension of the first-order corrected boost-invariant plasma geometry of [ref] to the corresponding one with non-trivial $U(1)$ gauge field.","intent_p":1.0,"contests_p":null},{"arxiv_id":"0805.3774","title":"Consistent holographic description of boost-invariant plasma","url":"/paper/0805.3774","section":"Zeroth-order solution and first-order correction","sentence":"We have thus constructed a natural extension of the first-order corrected boost-invariant plasma geometry of [ref] to the corresponding one with non-trivial $U(1)$ gauge field.","intent_p":1.0,"contests_p":null},{"arxiv_id":"hep-th/0512162","title":"Asymptotic perfect fluid dynamics as a consequence of AdS/CFT","url":"/paper/hep-th/0512162","section":"Conclusions","sentence":"We constructed a natural extension of the late-time boost-invariant background found in [ref] (and [ref] – [ref] ) to a background dual to an expanding $=4$ plasma with chemical potential.","intent_p":1.0,"contests_p":null},{"arxiv_id":"hep-th/0607123","title":"A Holographic Dual of Hydrodynamics","url":"/paper/hep-th/0607123","section":"Conclusions","sentence":"We constructed a natural extension of the late-time boost-invariant background found in [ref] (and [ref] – [ref] ) to a background dual to an expanding $=4$ plasma with chemical potential.","intent_p":1.0,"contests_p":null},{"arxiv_id":"0906.4423","title":"Boost-invariant early time dynamics from AdS/CFT","url":"/paper/0906.4423","section":"General ansatz and near-boundary behaviour","sentence":"These expressions for the warp factors generalise the corresponding ones for $q_0=0$ found in [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses the method or tool of","papers":2,"sentences":2,"quotes":[{"arxiv_id":"hep-th/0112119","title":"Holographic Renormalization","url":"/paper/hep-th/0112119","section":"Transport coefficients from the background","sentence":"In the following we will compute the first-order corrections directly from our time-dependent solution using holographic renormalization techniques [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"0906.4423","title":"Boost-invariant early time dynamics from AdS/CFT","url":"/paper/0906.4423","section":"General ansatz and near-boundary behaviour","sentence":"Following [ref] , we choose the small-$z$ expansions [equation] and [equation] Here the lowest coefficients are determined by the energy and charge density, respectively.","intent_p":0.88,"contests_p":null}]},{"kind":"data_used","label":"Uses data or values from","papers":2,"sentences":3,"quotes":[{"arxiv_id":"0809.2488","title":"Fluid dynamics of R-charged black holes","url":"/paper/0809.2488","section":"Boosted black brane solution","sentence":"Both the Hawking temperature and the chemical potential are given in terms of $r_+$ by [ref] [equation] These relations can be inverted to give $m$ and $q$ as functions of $T$ and $μ$ [ref] , [equation] with [equation]","intent_p":0.8,"contests_p":null},{"arxiv_id":"hep-th/9904197","title":"Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes","url":"/paper/hep-th/9904197","section":"Boosted black brane solution","sentence":"Both the Hawking temperature and the chemical potential are given in terms of $r_+$ by [ref] [equation] These relations can be inverted to give $m$ and $q$ as functions of $T$ and $μ$ [ref] , [equation] with [equation]","intent_p":0.8,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":7,"sentences":16,"quotes":[{"arxiv_id":"0809.2488","title":"Fluid dynamics of R-charged black holes","url":"/paper/0809.2488","section":"Transport coefficients from the background","sentence":"Given that $η_0$ is defined as $η_0=η$, we get the same $η_0$ as in ([ref]) and thus agreement with [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"0807.3797","title":"A Holographic Dual of Bjorken Flow","url":"/paper/0807.3797","section":"Transport coefficients from the background","sentence":"This is identical with $η_0^KMNO=1/3w$ found in [ref] since $πΛ=w$ there.] This correction is also in exact agreement with the first-order gradient correction to the energy-momentum tensor computed in [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"0805.3774","title":"Consistent holographic description of boost-invariant plasma","url":"/paper/0805.3774","section":"Zeroth-order solution and first-order correction","sentence":"We have checked that for $_0=0$ (or, equivalently, $_0=0$) the metric reduces to the first-order corrected uncharged solution found in [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"hep-th/0104066","title":"Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma","url":"/paper/hep-th/0104066","section":"Transport coefficients from the background","sentence":"There [ref] , the viscosity was found to be [equation] with $r_+$ as in ([ref]) (The $=4$ plasma saturates the KSS bound [ref] ).","intent_p":0.88,"contests_p":null},{"arxiv_id":"hep-th/0607123","title":"A Holographic Dual of Hydrodynamics","url":"/paper/hep-th/0607123","section":"Fefferman-Graham vs. Eddington-Finkelstein coordinates","sentence":"Comparing also the bound ([ref]) with that in Eddington-Finkelstein coordinates given by ([ref]), we find some relation between $ε_0$ and $m_0$ using ([ref]): [equation] For $q_0=0$ this relation can be easily checked by our solution with the general form of the metric in [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":10,"sentences":10,"quotes":[{"arxiv_id":"hep-th/0512162","title":"Asymptotic perfect fluid dynamics as a consequence of AdS/CFT","url":"/paper/hep-th/0512162","section":"Introduction","sentence":"One line of research within such holographic studies was initiated by Janik and Peschanski [ref] who established a time-dependent gravity dual of the boost-invariant flow of an $= 4$ plasma.","intent_p":0.91,"contests_p":null},{"arxiv_id":"0809.2488","title":"Fluid dynamics of R-charged black holes","url":"/paper/0809.2488","section":"Introduction","sentence":"Also the transport coefficients of plasmas with $U(1)$ currents have already been holographically computed in [ref] – [ref] (up to second order).","intent_p":0.89,"contests_p":null},{"arxiv_id":"1011.5107","title":"Relativistic Hydrodynamics with General Anomalous Charges","url":"/paper/1011.5107","section":"Introduction","sentence":"Also the transport coefficients of plasmas with $U(1)$ currents have already been holographically computed in [ref] – [ref] (up to second order).","intent_p":0.89,"contests_p":null},{"arxiv_id":"1003.3291","title":"The dynamics of quark-gluon plasma and AdS/CFT","url":"/paper/1003.3291","section":"Introduction","sentence":"higher-order corrections to this late-time background were constructed and found to be equivalent to a gradient expansion of hydrodynamics, see [ref] for a review.","intent_p":0.9,"contests_p":null},{"arxiv_id":"0906.4423","title":"Boost-invariant early time dynamics from AdS/CFT","url":"/paper/0906.4423","section":"Introduction","sentence":"This geometry has mainly been studied in the regime of large proper time, when the system is near equilibrium and approaches the hydrodynamic regime (see however [ref] ).","intent_p":0.8,"contests_p":null}]}],"unlabelled_sentences":29},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1012.1966"}}