Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model

Abstract

Finite size consideration of matter significantly affects transport coefficients like shear viscosity, bulk viscosity, electrical conductivity, which we have investigated here in the framework of the Polyakov-Nambu-Jona-Lasinio model. Owing to the basic quantum mechanics, a non-zero lower momentum cut-off is implemented in momentum integrations, used in the expressions of constituent quark masses and transport coefficients. When the system size decreases, the values of these trans- port coefficients are enhanced in low temperature range. At high temperature domain, shear viscos- ity and electrical conductivity become independent of system sizes. Whereas, bulk viscosity, which is associated with scale violating quantities of the system, faces some non-trivial size dependence in this regime. In the phenomenological direction, our microscopic estimations can also be linked with the macroscopic outcome, based on dissipative hydrodynamical simulation.

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Cited by in corpus (15)

• Temperature dependence of bulk viscosity within lattice simulation of $SU(3)$--gluodynamics
• Electrical and thermal conductivities of hot and dense hadron gas
• Thermodynamic properties and transport coefficients of QCD matter within the non-extensive Polyakov-Nambu-Jona-Lasinio model
• Dynamics of QCD Matter -- current status
• Casimir effect for nucleon parity doublets
• Speed of sound in QCD matter
• Speed of sound and liquid-gas phase transition in nuclear matter
• Hadron resonance gas with repulsive mean field interaction: Thermodynamics and transport properties
• Estimating transport coefficients of interacting pion gas with K-matrix cross sections
• Viscosity calculations from Hadron Resonance Gas model: Finite size effect
• Effect of finite volume on thermodynamics of quark-hadron matter
• Effect of momentum anisotropy on quark matter in the quark-meson model
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Impact of spin polarization on transport and thermodynamic coefficients
• Finite size effect on Dissociation and Diffusion of chiral partners in Nambu-Jona-Lasinio model