Thermodynamically consistent EOS for hot dense hadron gas

Singh, C. P.; Patra, Binoy Krishna; Singh, Krishna Kumar

doi:10.1016/0370-2693(96)01117-3

Cited by 36 publications

(39 citation statements)

References 20 publications

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“…Excluded Volume Hadron resonance gas (EVHRG) model [44][45][46][47][48][49][50][51][52][53][54]. In fact as the higher moments are expected to be more sensitive to the phase transition, any deviation of experimental observation from the model results may be taken as an indication of new phenomena.…”

Section: Introductionmentioning

confidence: 99%

Fluctuations and correlations of conserved charges in an excluded-volume hadron resonance gas model

et al. 2014

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We present temperature (T ) and baryonic chemical potential (µB) dependence of higher order fluctuations and correlation between conserved charges in Excluded Volume Hadron Resonance Gas (EVHRG) model. Products of moments, such as ratio of variance to mean (σ 2 /M ), product of skewness and standard deviation (Sσ), product of kurtosis and variance (κσ 2 ), for net-proton, netkaon and net-charge have been evaluated on the phenomenologically determined freeze-out curve. Further, products of moments for net-proton and net-charge have been compared with the experimental data measured by STAR experiment. The dependence of the model result on the hadronic radius parameter has also been discussed.

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Section: Introductionmentioning

confidence: 99%

Fluctuations and correlations of conserved charges in an excluded-volume hadron resonance gas model

et al. 2014

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“…Detailed discussions of the different versions of HRG model and some of the recent works using these models may be found in Refs. [37,[39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54]. In this work we plan to discuss the simplest version namely the non-interacting HRG.…”

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Thermodynamics and fluctuations of conserved charges in a hadron resonance gas model in a finite volume

et al. 2015

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The thermodynamics of hot and dense matter created in heavy-ion collision experiments are usually studied as a system of infinite volume. Here we report on possible effects for considering a finite system size for such matter in the framework of the Hadron Resonance Gas model. The bulk thermodynamic variables as well as the fluctuations of conserved charges are considered. We find that the finite size effects are insignificant once the observables are scaled with the respective volumes. The only substantial effect is found in the fluctuations of electric charge which may therefore be used to extract information about the volume of fireball created in heavy-ion collision experiments.PACS numbers: 12.38. Mh,21.65.Mn, Our present day universe contains a significant fraction of matter in hadronic form. In the very early universe − a few microseconds after the Big Bang [1] when the temperature was extremely high, the strongly interacting matter is expected to have existed in the partonic form. Similar exotic state of matter may exist inside compact stars due to extremely high matter density attained by gravitational compression [2]. For the last few decades various experimental efforts are being made to recreate such exotic matter through the collisions of heavy-ions at ultra-relativistic energies. Experimental facilities at CERN (France/Switzerland), BNL (USA) and the upcoming facility at GSI (Germany) are at the forefront of efforts taken to create these exotic states of matter. One of the major goals in the experiments is to study thermodynamic properties of strongly interacting matter at high temperatures and densities. Present experimental data as well as lattice QCD simulations seem to indicate a smooth cross over from hadronic to quark gluon matter at low density and high temperature [3,4]. At high density and low temperature a first order transition is expected [5][6][7][8][9][10].Usually any thermodynamic study assumes the system volume to be infinite. However the fireball created in the relativistic heavy ion collision experiments has a finite spatial volume. The size of such spatial volume critically depends on three parameters : the size of the colliding nuclei, the center of mass energy ( √ s) and the centrality of collisions. Analysis of experimental data could reveal the freeze out volume of the system. One way to carry out such an analysis is the study of HBT radii which has been done in Ref.[11]. The major finding of this study indicates that the freeze out volume increases as the √ s increases and the estimated freeze out volume varies from 2000 f m 3 to 3000 f m 3 . Another way of estimating the system size is through the comparison of simulation results with the experimental data as done in Ref. [12] where the UrQMD model [13] is used for this purpose. A study of the P b − P b collisions at different energies and centralities resulted in a freeze-out volume in the range 50 f m 3 to 250 f m 3 . We note that these volumes as quoted above, are the freeze out volumes and as one looks back to the early...

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“…The grand canonical partition function for the HG with full quantum statistics and after incorporating excluded-volume correction in a thermodynamically consistent manner, can be written as [16]:…”

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confidence: 99%

“…However, mesons are not subjected to any such force because they do not have any hard-core size. In constructing a first order phase transition it is essential to include the excluded-volume corrections for baryons in the HG and the EOS for QGP phase should also include QCD interaction terms [16]. Mesons at high temperature can fuse into one another but baryons retain their space.…”

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confidence: 99%

Erratum: QCD phase boundary and critical point in a bag model calculation [Phys. Rev. D80, 114508 (2009)]

Singh¹,

Srivastava²,

Tiwari³

2011

Phys. Rev. D

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Location of critical point and mapping the QCD phase boundary still exists as one of the most interesting and studied problems of heavy-ion physics. A new equation of state(EOS) for a gas of extended baryons and pointlike mesons is presented here which accounts for the repulsive hardcore interactions arising due to the geometrical size of the baryons. A first order deconfining phase transition is obtained using Gibbs' equilibrium criteria and a bag model EOS for the weakly interacting quark matter. It is interesting to find that the phase transition line ends at a critical point beyond which a cross-over region exists between hot-dense meson gas and quark-antiquark gluon matter. Our curve resembles in shape closely with the predicitions of the available lattice gauge calculations and also reproduces the conjectured phase boundary.

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Thermodynamically consistent EOS for hot dense hadron gas

Cited by 36 publications

References 20 publications

Fluctuations and correlations of conserved charges in an excluded-volume hadron resonance gas model

Fluctuations and correlations of conserved charges in an excluded-volume hadron resonance gas model

Thermodynamics and fluctuations of conserved charges in a hadron resonance gas model in a finite volume

Erratum: QCD phase boundary and critical point in a bag model calculation [Phys. Rev. D80, 114508 (2009)]

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