Density fluctuations and a first-order chiral phase transition in non-equilibrium

The thermodynamics of a first-order chiral phase transition is considered in the presence of spinodal phase separation using the Nambu-Jona-Lasinio model in the mean field approximation. We focus on the behavior of conserved charge fluctuations. We show that in non-equilibrium the specific heat and charge susceptibilities diverge as the system crosses the isothermal spinodal lines.Comment: 4 pages, 1 figure, to appear in the proceedings of Chiral07, November 13-16 2007, Osaka, Japa

Statistical Model Predictions for p+p and Pb+Pb Collisions at LHC

Particle production in p+p and central Pb+Pb collisions at LHC is discussed in the context of the statistical thermal model. For heavy-ion collisions, predictions of various particle ratios are presented. The sensitivity of several ratios on the temperature and the baryon chemical potential is studied in detail, and some of them, which are particularly appropriate to determine the chemical freeze-out point experimentally, are indicated. Considering elementary interactions on the other hand, we focus on strangeness production and its possible suppression. Extrapolating the thermal parameters to LHC energy, we present predictions of the statistical model for particle yields in p+p collisions. We quantify the strangeness suppression by the correlation volume parameter and discuss its influence on particle production. We propose observables that can provide deeper insight into the mechanism of strangeness production and suppression at LHC.Comment: 7 pages, 5 figures, conference contribution to "International school of nuclear physics", Erice, Sicily, 16 - 24 September 2008; Progress in Particle and Nuclear Physics, 2009, in pres

Thermodynamic limit and semi--intensive quantities

The properties of statistical ensembles with abelian charges close to the thermodynamic limit are discussed. The finite volume corrections to the probability distributions and particle density moments are calculated. Results are obtained for statistical ensembles with both exact and average charge conservation. A new class of variables (semi--intensive variables) which differ in the thermodynamic limit depending on how charge conservation is implemented in the system is introduced. The thermodynamic limit behavior of these variables is calculated through the next to leading order finite volume corrections to the corresponding probability density distributions.Comment: 11 pages, 2 figures In v2 figures are added and corresponding editorial changes are done. Paper will be published in Journal of Physics

Remarks on combinatorial aspects of the KP Equation

Accepted for publication: AIP Conference Proceedings, 2nd International Workshop on Nonlinear and Modern Mathematical Physics, March 9-11, 2013. v2: Several clarifications made, references added, typos corrected; 16 pages, 1 figureAccepted for publication: AIP Conference Proceedings, 2nd International Workshop on Nonlinear and Modern Mathematical Physics, March 9-11, 2013. v2: Several clarifications made, references added, typos corrected; 16 pages, 1 figureAccepted for publication: AIP Conference Proceedings, 2nd International Workshop on Nonlinear and Modern Mathematical Physics, March 9-11, 2013. v2: Several clarifications made, references added, typos corrected; 16 pages, 1 figureAccepted for publication: AIP Conference Proceedings, 2nd International Workshop on Nonlinear and Modern Mathematical Physics, March 9-11, 2013. v2: Several clarifications made, references added, typos corrected; 16 pages, 1 figureNSF through grant DMS-0807705; AR is supported by the NSF under grant DMS-100438

Statistical Model Predictions for Pb-Pb Collisions at LHC

The systematics of Statistical Model parameters extracted from heavy-ion collisions at lower energies are exploited to extrapolate in the LHC regime. Predictions of various particle ratios are presented and particle production in central Pb-Pb collisions at LHC is discussed in the context of the Statistical Model. The sensitivity of several ratios on the temperature and the baryon chemical potential is studied in detail, and some of them, which are particularly appropriate to determine the chemical freeze-out point experimentally, are indicated. The impact of feed-down contributions from resonances, especially to light hadrons, is illustrated.Comment: 5 pages, 2 figures, 1 table, SQM 2006 conference proceedings, accepted for publication in J. Phys.

Chemical Equilibrium in Collisions of Small Systems

The system-size dependence of particle production in heavy-ion collisions at the top SPS energy is analyzed in terms of the statistical model. A systematic comparison is made of two suppression mechanisms that quantify strange particle yields in ultra-relativistic heavy-ion collisions: the canonical model with strangeness correlation radius determined from the data and the model formulated in the canonical ensemble using chemical off-equilibrium strangeness suppression factor. The system-size dependence of the correlation radius and the thermal parameters are obtained for p-p, C-C, Si-Si and Pb-Pb collisions at sqrt(s_NN) = 17.3 AGeV. It is shown that on the basis of a consistent set of data there is no clear difference between the two suppression patterns. In the present study the strangeness correlation radius was found to exhibit a rather weak dependence on the system size.Comment: 9 pages, 8 figures, submitted to Physical Review

Antimatter production in proton-proton and heavy-ion collisions at ultrarelativistic energies

One of the striking features of particle production at high beam energies is the near equal abundance of matter and antimatter in the central rapidity region. In this paper we study how this symmetry is reached as the beam energy is increased. In particular, we quantify explicitly the energy dependence of the approach to matter/antimatter symmetry in proton-proton and in heavy-ion collisions. Expectations are presented also for the production of more complex forms of antimatter like antihypernuclei.Comment: 7 pages, 5 figure