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Correlation of density fluctuation in a magnetized QCD matter near the critical end point
Nuclear Theory · Submitted 12 Jun 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Interestingly, it is observed that near the critical end point, all the Brillouin peaks disappear irrespective of the presence or absence of the external magnetic field.
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The abstract, sentence by sentence
The dynamical correlation of density fluctuation in quark gluon plasma with a critical end point has been investigated within the scope of the M\"uller-Israel-Stewart theory in the presence of static ultra-high external magnetic field. The dynamic structure factor of the density fluctuation exhibits three Lorentzian peaks in absence of external magnetic field- a central Rayleigh peak and two Brillouin peaks situated symmetrically on the opposite sides of the Rayleigh peak. The spectral structure displays five peaks in presence of the magnetic field due to the coupling of the magnetic field with the hydrodynamic fields in second-order hydrodynamics. The emergence of the extra peaks is due to the asymmetry in the pressure gradient caused by the external magnetic field in the system. Interestingly, it is observed that near the critical end point, all the Brillouin peaks disappear irrespective of the presence or absence of the external magnetic field.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The dynamical correlation of density fluctuation in quark gluon plasma with a critical end point has been investigated within the scope of the M\"uller-Israel-Stewart theory in the presence of static ultra-high external magnetic field. | contribution 0.95 | 0.88 | 0.06 | asserted 1.00 |
| s1 | The dynamic structure factor of the density fluctuation exhibits three Lorentzian peaks in absence of external magnetic field- a central Rayleigh peak and two Brillouin peaks situated symmetrically on the opposite sides of the Rayleigh peak. | result 1.00 | 0.80 | 0.08 | asserted 1.00 |
| s2 | The spectral structure displays five peaks in presence of the magnetic field due to the coupling of the magnetic field with the hydrodynamic fields in second-order hydrodynamics. | result 1.00 | 0.85 | 0.19 | asserted 1.00 |
| s3 | The emergence of the extra peaks is due to the asymmetry in the pressure gradient caused by the external magnetic field in the system. | interpretation 0.99 | 0.79 | 0.09 | asserted 1.00 |
| s4 | Interestingly, it is observed that near the critical end point, all the Brillouin peaks disappear irrespective of the presence or absence of the external magnetic field. | result 1.00 | 0.89 | 0.59 | asserted 1.00 |
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The paper
Original abstract
The dynamical correlation of density fluctuation in quark gluon plasma with a critical end point has been investigated within the scope of the M\"uller-Israel-Stewart theory in the presence of static ultra-high external magnetic field. The dynamic structure factor of the density fluctuation exhibits three Lorentzian peaks in absence of external magnetic field- a central Rayleigh peak and two Brillouin peaks situated symmetrically on the opposite sides of the Rayleigh peak. The spectral structure displays five peaks in presence of the magnetic field due to the coupling of the magnetic field with the hydrodynamic fields in second-order hydrodynamics. The emergence of the extra peaks is due to the asymmetry in the pressure gradient caused by the external magnetic field in the system. Interestingly, it is observed that near the critical end point, all the Brillouin peaks disappear irrespective of the presence or absence of the external magnetic field.
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What this paper does with the arXiv papers it cites
What it cites · 39 sentences without a confident label
Cites as support 1 paper
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All of these facts confirm that the form of EMT, $T_F0^μν$ is consistent with thermodynamic formulas for matter in the presence of electromagnetic fields [ref] .
Anisotropic Hydrodynamics, Bulk Viscosities and R-Modes of Strange Quark Stars with Strong Magnetic Fields · Ideal and dissipative non-resistive magnetohydrodynamics · 0.99
Cites as background 15 papers
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Ordinarily, for a fluid modelled by relativistic hydrodynamics, the $$ consists of three distinct peaks, two of them are Brillouin ($B$) peaks, created due to pressure fluctuation at constant entropy and the other is the Rayleigh (R) peak, originates due to thermal or entropy fluctuation at constant pressure [ref] .
Dynamical Density Fluctuations around QCD Critical Point Based on Dissipative Relativistic Fluid Dynamics-possible fate of Mach cone at the critical point- · Introduction · 0.86
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Ordinarily, for a fluid modelled by relativistic hydrodynamics, the $$ consists of three distinct peaks, two of them are Brillouin ($B$) peaks, created due to pressure fluctuation at constant entropy and the other is the Rayleigh (R) peak, originates due to thermal or entropy fluctuation at constant pressure [ref] .
Dispersion and suppression of sound near QCD critical point · Introduction · 0.86
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The possibility of the existence of the critical end point (CEP) in the QCD phase diagram [ref] is considered as one of the most interesting development in the field of relativistic heavy ion research.
Lattice determination of the critical point of QCD at finite T and \mu · Hydrodynamic equations in linearised form to estimate the dynamic structure factor · 0.81
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