Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-12-27
Phys.Rev. D73 (2006) 054506
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 10 figures
Scientific paper
10.1103/PhysRevD.73.054506
Using Taylor expansions of the pressure obtained previously in studies of 2-flavor QCD at non-zero chemical potential we calculate expansion coefficients for the energy and entropy densities up to ${\cal O}(\mu_q^6)$ in the quark chemical potential. We use these series in $\mu_q/T$ to determine lines of constant entropy per baryon number ($S/N_B$) that characterize the expansion of dense matter created in heavy ion collisions. In the high temperature regime these lines are found to be well approximated by lines of constant $\mu_q/T$. In the low temperature phase, however, the quark chemical potential is found to increase with decreasing temperature. This is in accordance with resonance gas model calculations. Along the lines of constant $S/N_B$ we calculate the energy density and pressure. Within the accuracy of our present analysis we find that the ratio $p/\epsilon$ for $T>T_0$ as well as the softest point of the equation of state, $(p/\epsilon)_{min}\simeq 0.075$, show no significant dependence on $S/N_B$.
Ejiri Shinji
Karsch Frithjof
Laermann Edwin
Schmidt Carl
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