Finite size effects in strongly interacting matter at zero chemical potential from Polyakov loop Nambu-Jona-Lasinio model in the light of lattice data

Abstract

We study finite volume effects within the Polyakov loop Nambu-Jona-Lasinio model for two light and one heavy quarks at vanishing baryon chemical potential and finite temperatures. We include three different Polyakov loop potentials and ensure that the predictions of our effective model in bulk are compatible with lattice QCD results. Finite size effects are taken into account by means of the Multiple Reflection Expansion formalism. We analyze several thermodynamic quantities including the interaction measure, the speed of sound, the surface tension, and the curvature energy and find that they are sensitive to finite volume effects, specially for systems with radii below $\sim 10$ fm and temperatures around the crossover one. For all sizes, the system undergoes a smooth crossover. The chiral critical temperature decreases by around $5\%$ and the deconfinement temperature by less than a $2\%$ when the radius goes from infinity to 3 fm. Thus, as the drop's size decreases, both temperatures become closer. The surface tension is dominated by the contribution of strange quarks and the curvature energy by $u$ and $d$ quarks. At large temperatures both quantities grow proportionally to $T^{3/2}$ but saturate to a constant value at low $T$.

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Cited by in corpus (11)

• Surface tension of hot and dense quark matter under strong magnetic fields
• Thermodynamic properties and transport coefficients of QCD matter within the non-extensive Polyakov-Nambu-Jona-Lasinio model
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume
• Hard-core Radius of Nucleons within the Induced Surface Tension Approach
• QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model
• Mean free path of photons in relativistic heavy ion collisions
• Strangelets at finite temperature: nucleon emission rates, interface and shell effects
• Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
• Finite-Size Effects on the Critical End Point of Magnetized Quark Matter in the Nonlocal PNJL Model