Anisotropic pressure of magnetized quark matter with anomalous magnetic moment

We investigate magnetic field $(eB)$ dependence of constituent quark mass, the longitudinal and transverse pressure as well magnetization susceptibility strongly interacting matter. employ two-flavor Polyakov Nambu--Jona-Lasinio model with inclusion anomalous moment (AMM) quarks at finite temperature ($T$) chemical potential $({\ensuremath{\mu}}_{q})$ capturing different stages chiral phase transition. find that pressure, magnetization, become highly oscillatory for large values $eB$ in symmetry broken phase. However, oscillations cease to occur higher $T$ ${\ensuremath{\mu}}_{q}$ when is (partially) restored anisotropic nature becomes significant even smaller $eB$. As AMM leads inverse catalysis transition temperature, we observe variations are significantly modified vicinity temperature. Furthermore, above found remain positive a wide range $eB$, indicating paramagnetic character Finally, have also examined magnetism matter quarkyonic The obtained results could be useful magnetohydrodynamic evolution hot dense created heavy-ion collisions.