Dynamical spectral structure of density fluctuation near the QCD critical point

Hasanujjaman,; Sarwar, Golam; Rahaman, Mahfuzur; Bhattacharyya, Abhijit; Alam, Jan-e

doi:10.1140/epja/s10050-021-00589-3

Cited by 5 publications

(11 citation statements)

References 76 publications

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“…The other peak is due to the coupling of φ with the heat flux. This profile of S nn (k, ω) is different from the one evaluated earlier[32], in absence of φ, where the Stokes and anti-Stokes components of equal magnitude are symmetrically located about ω = 0. The asymmetry in the B-peaks may arise due to the local inhomogeneity present in the system.…”

contrasting

confidence: 91%

“…The EoS is constructed from the universality hypothesis which suggests that the CEP of the QCD belongs to same universality class as the 3D Ising model. We do not repeat the discussion on the construction of the EoS here but refer to the appropriate literature [15,32,38,39] for details. The behaviour of various transport coefficients and response functions play crucial roles to determine the structure factor in the presence of the CEP.…”

Section: Resultsmentioning

confidence: 99%

“…The partial derivative, ∂P ∂T n has been evaluated by using the EoS for consistency. The critical behaviours of the second-order coupling and relaxation coefficients of the IS hydrodynamics have also been taken into account (see [32] for details). In Fig.…”

Section: Resultsmentioning

confidence: 99%

“…In this context the qualitative and quantitative effects of the slow modes on various physical quantities should be studied. In the present work the effects of these modes on the spectral structure of the fluctuations near the CEP [30][31][32] has been investigated. More specifically, we will study role of the slow modes on the Rayleigh and Brillouin peaks of S nn (k, ω).…”

Section: One Of the Outstanding Issue In Relativistic High Energy Col...mentioning

confidence: 99%

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Role of slow, out-of-equilibrium modes on the dynamic structure factor near the QCD critical point

Sarwar¹,

Hasanujjaman²,

Alam³

2022

Preprint

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The role of slow out of equilibrium modes (OEM), introduced to extend the validity of hydrodynamics near the QCD critical point on the power spectrum of dynamical density fluctuations has been studied. We have used the equation of motion of slow modes for the situation when the extensive nature of thermodynamics is not altered due to the introduction of OEM. We find that the extensivity condition puts an extra constraint on the coupling of OEM with the four divergence of velocity. The dynamic structure factor (S nn (k, ω)) in presence of the OEM shows four Lorentzian peaks asymmetrically positioned about ω(frequency) = 0, whereas the dynamic structure factor without the presence of any OEM shows three well-known Lorentzian peaks. The width of the peaks are reduced in presence of OEM. We find that the asymmetric peaks originate due to the coupling of the out-of-equilibrium modes with the hydrodynamic modes. It is also shown that the OEM has negligible effects on S nn (k, ω) if first order hydrodynamics (relativistic Navier-Stokes) is used. The introduction of OEM reduces the width of the Rayleigh peak indicating the reduction in the decay rate of the fluctuation which leads to slowing down, a well-known characteristics of the critical end point (CEP).

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confidence: 91%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: One Of the Outstanding Issue In Relativistic High Energy Col...mentioning

confidence: 99%

See 2 more Smart Citations

Role of slow, out-of-equilibrium modes on the dynamic structure factor near the QCD critical point

Sarwar¹,

Hasanujjaman²,

Alam³

2022

Preprint

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“…In the present dissertation, we are not searching for the location of the CEP, but we want to observe its effects on hydrodynamic evolution of the QGP, by assuming its existence in the phase diagram at some point (T c , µ c ) = (154, 367)M eV [5,72,73],…”

Section: Organization Of the Thesismentioning

confidence: 99%

Nonlinear waves in a hot, viscous and non-extensive quark-gluon plasma

Sarwar

Hasanujjaman²,

Bhattacharyya

et al. 2022

Eur. Phys. J. C

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The effects of the non-extensive statistics on the nonlinear propagation of perturbations have been studied within the scope of relativistic second order dissipative hydrodynamics with non-extensive equation of state. We have shown that the equations, describing the propagation of nonlinear waves under such situation admit solutions similar to that of KdV-type (Korteweg–De Vries) equations. Apart from their preserved solitonic behaviour the dissipative nature of these waves are also observed. The waves with larger amplitude and width dissipate less and propagate faster and these waves deplete more for both smaller values of Tsallis parameter (q) and temperature (T) of the medium. For vanishingly small transport coefficients the nonlinear waves show breaking nature. These findings suggest that the nature of the propagation of the nonlinear waves may serve as a good probe to differentiate between the extensive and non-extensive thermodynamic nature of a fluid, such as the quark-gluon plasma, produced in relativistic nuclear collisions.

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Enhancement of dilepton production rate and electric conductivity around the QCD critical point

Nishimura

Kitazawa

Kunihiro

2023

Progress of Theoretical and Experimental Physics

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We investigate whether the soft mode that becomes massless at the QCD critical point (CP) causes an enhancement of the dilepton production rate (DPR) and the electric conductivity around the CP through the modification of the photon self-energy using the 2-flavor Nambu-Jona-Lasinio model. The modification is described by the so-called Aslamazov-Larkin, Maki-Thompson and density of states terms, which have been taken into account in our previous study on the DPR near the color-superconducting phase transition, with a replacement of the diquark modes with the soft mode of the QCD CP. We show that the coupling of photons with the soft modes brings about an enhancement of the DPR in the low invariant-mass region and the conductivity near the CP, which would be observable in the relativistic heavy-ion collisions.

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Dynamical spectral structure of density fluctuation near the QCD critical point

Cited by 5 publications

References 76 publications

Role of slow, out-of-equilibrium modes on the dynamic structure factor near the QCD critical point

Role of slow, out-of-equilibrium modes on the dynamic structure factor near the QCD critical point

Nonlinear waves in a hot, viscous and non-extensive quark-gluon plasma

Enhancement of dilepton production rate and electric conductivity around the QCD critical point

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