; Roberts, Craig D.] Argonne Natl Lab, Div Phys, Argonne, IL 60439 USA
; [Klaehn, Thomas] Uniwersytet Wroclawski, Inst Fizyki Teoretycznej, PL-50204 Wroclaw, Poland
; [Roberts, Craig D.
; Liu, Yu-Xin] Peking Univ, Dept Phys, Beijing 100871, Peoples R China
; [Chang, Lei] Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China
; [Chen, Huan] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; [Liu, Yu-Xin] Peking Univ, State Key Lab Nucl Phys & Technol, Beijing 100871, Peoples R China
; [Liu, Yu-Xin] Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China
We derive a compact, semialgebraic expression for the cold-quark-matter equation of state (EoS) in a covariant model that exhibits coincident deconfinement and chiral symmetry restoring transitions in medium. In doing so we obtain algebraic expressions for the number- and scalar-density distributions in both the confining Nambu and the deconfined Wigner phases and the vacuum-pressure difference between these phases, which defines a bag constant. Our qualitative study illustrates that a confining interaction can materially alter distribution functions from those of a Fermi gas and impact significantly on a system's thermodynamic properties, possibilities that are apparent in the EoS.