Interacting hadron resonance gas model in magnetic field and the fluctuations of conserved charges

Kadam, Guruprasad; Pal, Santinath; Bhattacharyya, Abhijit

doi:10.1088/1361-6471/abba70

Cited by 16 publications

(15 citation statements)

References 77 publications

(99 reference statements)

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“…This observation goes inline with Ref. [13]. This result is very interesting considering the fact that this behaviour is observed at high q-values, i.e when the system is away from equilibrium.…”

Section: Formulationsupporting

confidence: 90%

“…Here, M is the magnetization of the system due to external magnetic field. At the thermodynamical limit, V → ∞, we can assume f H = −P [13,14]. So,…”

Section: Formulationmentioning

confidence: 99%

“…In literature, there are several studies on the effect of external magnetic fields on the hadron gas [13][14][15]. However, as mentioned above, the present work deals with the study of the hadron gas system away from equilibrium and under external magnetic fields.…”

Section: Introductionmentioning

confidence: 99%

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Hadron gas in the presence of a magnetic field using non-extensive statistics: A transition from diamagnetic to paramagnetic system

Pradhan¹,

Sahu²,

Deb³

et al. 2021

Preprint

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Non-central heavy-ion collisions at ultra-relativistic energies are unique in producing magnetic fields of the largest strength in the laboratory. Such fields being produced at the early stages of the collision, could affect the properties of Quantum Chromodynamics (QCD) matter formed in the relativistic heavy-ion collisions. The transient magnetic field leaves its reminiscence, which in principle, can affect the thermodynamic and transport properties of the final state dynamics of the system. In this work, we study the thermodynamic properties of a hadron gas in the presence of an external static magnetic field using a thermodynamically consistent non-extensive Tsallis distribution function. Various thermodynamical observables such as polytropic index, energy density ( ), entropy density (s), pressure (P ) and speed of sound (cs) are studied. Investigation of magnetization (M ) is also performed and this analysis reveals an interplay of diamagnetic and paramagnetic nature of the system in presence of the magnetic field of varying strength. Further to understand the system dynamics under equilibrium and non-equilibrium conditions, the effect of non-extensive parameter (q) on the above observables is also studied.

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Section: Formulationsupporting

confidence: 90%

“…Here, M is the magnetization of the system due to external magnetic field. At the thermodynamical limit, V → ∞, we can assume f H = −P [13,14]. So,…”

Section: Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Hadron gas in the presence of a magnetic field using non-extensive statistics: A transition from diamagnetic to paramagnetic system

Pradhan¹,

Sahu²,

Deb³

et al. 2021

Preprint

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show abstract

“…Additionally, the magnetic field that generated in the peripheral heavy ion collisions at the Relativistic Heavy Ion Collider (RHIC) or the Large Hadron Collider (LHC) [38,48]. The analysis of the particle production at different energies are studied in [49,50], extensive and non-extensive is applied on black hole in which the black hole appeared as an extensive system [51]. Recently, and up to three decades the non-extensive statistics has been applied to many physical systems and showed a great success in the description of QCD matter [52], neutron stars [53] and cosmology [54].…”

Section: Motivationmentioning

confidence: 99%

The Magnetic Field Effect on Thermodynamics of Hot QCD Matter using Extensive and non-Extensive Statistics

Tarek¹,

Ahmed²,

Shalaby³

2021

Preprint

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We study in detail the thermodynamics of the quantum chromodynamics (QCD) matter utilizing two different statistics, extensive and non-extensive. The thermodynamics such as (pressure, number density, energy density , entropy and magnetization) are determined from both statistics at zero and non-zero magnetic field, eB = 0, 0.2, 0.3 GeV 2 . The magnetic field effect appears by adding a vacuum contribution to the free energy along side the thermal contribution. The extensive thermodynamics can be emerged from the resonance hadron gas model which is incorporated in the present work. Accordingly, we repeat our calculations at zero and non-zero magnetic field for the non-extensive statistics. The theoretical results of thermodynamical quantities calculated from both statistics are confronted to the lattice results which show a reasonable agreement with the extensive thermodynamics, but overrated in non-extensive thermodynamics at high temperature only and higher entropic index. The response of the QCD matter due to the magnetic field is additionally examined, and it is concluded that QCD matter is considered as a paramagnetic matter.

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“…On the other hand, fluctuations and correlations of B, Q and S in nonzero magnetic fields are much less explored. Most of the studies in the literature are based on the hadron resonance gas model [57][58][59][60] and Polyakov-Nambu-Jona-Lasinio model [61], and there do not exist any studies based on lattice QCD. It has been found from e.g.…”

Section: Introductionmentioning

confidence: 99%

Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field

Ding,

Li,

Shi

et al. 2021

Preprint

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We present results on the second-order fluctuations of and correlations among net baryon number, electric charge and strangeness in (2+1)-flavor lattice QCD in the presence of a background magnetic field. Simulations are performed using the tree-level improved gauge action and the highly improved staggered quark (HISQ) action with a fixed scale approach (a 0.117 fm). The light quark mass is set to be 1/10 of the physical strange quark mass and the corresponding pion mass is about 220 MeV at vanishing magnetic field. Simulations are performed on 32 3 × Nτ lattices with 9 values of Nτ varying from 96 to 6 corresponding to temperatures ranging from zero up to 281 MeV. The magnetic field strength eB is simulated with 15 different values up to ∼2.5 GeV 2 at each nonzero temperature. We find that quadratic fluctuations and correlations do not show any singular behavior at zero temperature in the current window of eB while they develop peaked structures at nonzero temperatures as eB grows. By comparing the electric charge-related fluctuations and correlations with hadron resonance gas model calculations and ideal gas limits we find that the changes in degrees of freedom start at lower temperatures in stronger magnetic fields. Significant effects induced by magnetic fields on the isospin symmetry and ratios of net baryon number and baryon-strangeness correlation to strangeness fluctuation are observed, which could be useful for probing the existence of a magnetic field in heavy-ion collision experiments.

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Interacting hadron resonance gas model in magnetic field and the fluctuations of conserved charges

Cited by 16 publications

References 77 publications

Hadron gas in the presence of a magnetic field using non-extensive statistics: A transition from diamagnetic to paramagnetic system

Hadron gas in the presence of a magnetic field using non-extensive statistics: A transition from diamagnetic to paramagnetic system

The Magnetic Field Effect on Thermodynamics of Hot QCD Matter using Extensive and non-Extensive Statistics

Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field

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