Density fluctuations and chiral phase transition

Abstract

Based on an effective QCD Lagrangian we discuss the properties of charge density fluctuations in the vicinity of chiral phase transition. We explore thermodynamics in the presence of spinodal phase separation. We show that appearance of spinodal decomposition in a non-equilibrium first order phase transition results in divergence of the charge density fluctuations related with the electric charge and baryon number conservation. Consequently, divergent fluctuations at the chiral phase transition are not only attributed to the critical end point but are also there along the first order phase transition if the spinodal phase separation take place. Based on the mean field dynamics, the critical exponents for these singular behavior of charge susceptibilities are also discussed.

8 pages, 4 figures, contribution to SQM 2007 in Levoca, Slovakia, J. Phys. G in press

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• Quark number susceptibility around the critical end point
• Nonlinear susceptibilities under the framework of Dyson-Schwinger equations
• Quark Number Susceptibility with Finite Chemical Potential in Holographic QCD
• Neutral to charged kaon yield fluctuations in Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76TeV