Transport coefficients of hadronic matter in a van der Walls hadron resonance gas model

Mohapatra, Ranjita K.; Mishra, Hiranmaya; Dash, Sadhana; Nandi, Basanta K.

doi:10.48550/arxiv.1901.07238

Cited by 3 publications

(5 citation statements)

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“…η( ×1 T (T > 0.16 GeV) and even increases exponentially with the increasing temperature for µ B = 0.3 and 0.35 GeV, which is similar to the result of Ref. [25]. In addition considering the effects of VDW interactions and thermal hadron masses on η simultaneously will give a further improvement in η compared to VDWHRG model case especially at µ B > 0.2 GeV.…”

Section: A T T I C E ( H O T Q C D ) L a T T I C E ( W U P P E R T A ...supporting

confidence: 86%

“…It can be explained in two aspects. (i) The interactions of baryon pairs and antibaryon pairs are relatively weak at µ B = 0 GeV where the contribution of mesons is dominant compared with that of (anti)baryons [25]. (ii) At T < 0.165 GeV, the masses of hadrons are almost not affected by temperature which can be seen from Fig.…”

Section: (Color Online)mentioning

confidence: 83%

“…Among various transport coefficients, the dissipative coefficients like shear and bulk viscosities of QGP and hadronic matter which have been widely investigated by several research groups [21][22][23][24]. Recently shear and bulk viscosities of hot hadronic matter in VDWHRG model have been investigated [25,26]. Another important but less concerned transport coefficients are electrical (σ el ) and thermal (λ) conductivity which are also estimated by various methods in QGP [27][28][29][30], hot pion gas [31][32][33] and excluded volume HRG (EHRG) model [34].…”

Section: Introductionmentioning

confidence: 99%

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In-medium effect on the thermodynamics and transport coefficients in the van der Waals hadron resonance gas

2020

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An extension of the van der Waals hadron resonance gas (VDWHRG) model which includes the inmedium thermal modification of hadron masses, the thermal VDWHRG (TVDWHRG) model, is considered in this paper. Based on the 2 þ 1 flavor Polyakov linear sigma model (PLSM) and the scaling mass rule of hadrons, we obtain the temperature behavior of all hadron masses for different fixed baryon chemical potentials μ B. We calculate various thermodynamic observables at μ B ¼ 0 GeV in the TVDWHRG model. An improved agreement with the lattice data from the TVDWHRG model in the crossover region (T ∼ 0.16-0.19 GeV) is observed as compared to those from the VDWHRG and ideal HRG (IHRG) models. We further discuss the effects of the in-medium modification of hadron masses and VDW interactions between (anti)baryons on the dimensionless transport coefficients, such as the shear viscosity to entropy density ratio (η=s) and scaled thermal (λ=T 2) and electrical (σ el =T) conductivities in the IHRG model at different μ B by utilizing quasiparticle kinetic theory with relaxation time approximation. We find in contrast to the IHRG model, the TVDWHRG model leads to a qualitatively and quantitatively different behavior of transport coefficients with T and μ B .

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Section: A T T I C E ( H O T Q C D ) L a T T I C E ( W U P P E R T A ...supporting

confidence: 86%

Section: (Color Online)mentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

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In-medium effect on the thermodynamics and transport coefficients in the van der Waals hadron resonance gas

2020

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“…g i in Eq. ( 60),( 61),( 62), (63) should not be confused with g 1 , g 2 , g 3 , g 4 as given is Eq. ( 51),( 52),( 53), (54).…”

Section: Shear Viscosity In the Presence Of Magnetic Fieldmentioning

confidence: 99%

Transport coefficients of hot and dense hadron gas in a magnetic field: A relaxation time approach

2019

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We estimate various transport coefficients of hot and dense hadronic matter in the presence of magnetic field. The estimation is done through solutions of the relativistic Boltzmann transport equation in the relaxation time approximation.We have investigated the temperature and the baryon chemical potential dependence of these transport coefficients. Explicit calculations are done for the hadronic matter in the ambit of hadron resonance gas model. We estimate thermal conductivity, electrical conductivity and the shear viscosity of hadronic matter in the presence of a uniform magnetic field. Magnetic field, in general, makes the transport coefficients anisotropic. It is also observed that all the transport coefficients perpendicular to the magnetic field are smaller compared to their isotropic counterpart. 12.38.Mh I. INTRODUCTIONStrongly interacting matter produced in relativistic heavy-ion collision experiments at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) give us a unique opportunity to study strong interaction in the nonperturbative regime. For a comprehensive understanding of the hot and dense QCD (quantum chromodynamics) medium produced in these experiments, transport coefficients play a crucial role. Large number of experimental data indicate the formation of quark-gluon plasma in high multiplicity heavy-ion collision experiments. Quark gluon plasma produced in the initial stage of heavy ion collision shows collective motion, undergoes subsequent space-time evolution and eventually gets chemically and the thermally equilibrated and results in a hadronic medium. Hydrodynamical modeling of the strongly interacting matter has been routinely used to study the transverse particle spectra of hadrons emanating out of the interaction region. In the context of hydrodynamical modeling, the dissipative effects can be important and the related transport coefficients e.g. shear and bulk viscosity etc can play a significant role in this hydrodynamical evolution. In various literature it has been argued that a small value of shear viscosity to entropy density ratio (η/s) can explain the flow data[1-3]. One of the remarkable achievements of the viscous hydrodynamical model is the prediction of a small value of η/s and perfect fluid behavior of the strongly interacting matter. A small value of η/s of the strongly coupled plasma produced in the heavy-ion collision is in accordance with the lower bound (KSS bound) for the same, η/s = 1 4π obtained using gauge gravity duality (AdS/CFT correspondence). Prediction of the small value of shear viscosity to entropy density ratio motivated a large number of investigations in understanding the microscopic origin of transport coefficients [3]. It is important to mention that KSS bound has been derived for a strongly coupled quantum field theory having conformal symmetry. However, QCD is not conformal and the deviation of the conformality is encoded in the bulk viscosity ζ, of the medium. [4][5][6][7][8][9][10][11][12]. Bulk viscosity encodes the confor...

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“…Besides, the signal for this specific correlator is dominated by the high-ω part of the spectral function [29,30], which makes the inversion even harder. For these reasons, one must turn to alternative approaches such as the hadron resonance gas (HRG) model [31][32][33][34][35][36][37][38][39][40][41][42][43], transport theory [44][45][46][47], holography [13], Color String Percolation Model [48], linear sigma model [49] or QCD-motivated alternatives [50][51][52][53], to name a few. These calculations are often only performed at µ B = 0.…”

Section: Introductionmentioning

confidence: 99%

Building a testable shear viscosity across the QCD phase diagram

McLaughlin,

Rose,

Dore

et al. 2021

Preprint

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Current experiments at the Relativistic Heavy Ion Collider (RHIC) are probing finite baryon densities where the shear viscosity to enthalpy ratio ηT /w of the Quark Gluon Plasma remains unknown. We use the Hadron Resonance Gas (HRG) model with the most up-to-date hadron list to calculate ηT /w at low temperatures and at finite baryon densities ρB. We then match ηT /w to a QCD-based shear viscosity calculation within the deconfined phase to create a table across {T, µB} for different cross-over and critical point scenarios at a specified location. We find that these new ηT /w(T, µB) values would require initial conditions at significantly larger ρB, compared to ideal hydrodynamic trajectories, in order to reach the same freeze-out point.1 Note that at finite µ B the enthalpy w = ε + p is used rather than entropy 2 Alternatives to η/s(T, µ B = 0) = 0.08 exist [14-17] at vanishing baryon densities where an action is formulated that allows for derivatives up to the 4th order. However, these calculations have not yet been incorporated into non-conformal AdS. Since nonconformality is vital for understanding the QCD phase transition, the current framework cannot provide non-trivial information about η/s(T, µ B ) at a critical point.

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Transport coefficients of hadronic matter in a van der Walls hadron resonance gas model

Cited by 3 publications

References 33 publications

In-medium effect on the thermodynamics and transport coefficients in the van der Waals hadron resonance gas

In-medium effect on the thermodynamics and transport coefficients in the van der Waals hadron resonance gas

Transport coefficients of hot and dense hadron gas in a magnetic field: A relaxation time approach

Building a testable shear viscosity across the QCD phase diagram

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