Correlation of density fluctuation in a magnetized QCD matter near the critical end point

Abstract

The dynamical correlation of density fluctuation in quark gluon plasma with a critical end point has been investigated within the scope of the Müller-Israel-Stewart theory in the presence of static ultra-high external magnetic field. The dynamic structure factor of the density fluctuation exhibits three Lorentzian peaks in absence of external magnetic field- a central Rayleigh peak and two Brillouin peaks situated symmetrically on the opposite sides of the Rayleigh peak. The spectral structure displays five peaks in presence of the magnetic field due to the coupling of the magnetic field with the hydrodynamic fields in second-order hydrodynamics. The emergence of the extra peaks is due to the asymmetry in the pressure gradient caused by the external magnetic field in the system. Interestingly, it is observed that near the critical end point, all the Brillouin peaks disappear irrespective of the presence or absence of the external magnetic field.

Matches published version

References in corpus (11)

• Relativistic viscous hydrodynamics, conformal invariance, and holography
• A holographic critical point
• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids I. General Aspects and 3+1 Formulation for Nuclear Collisions
• Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions
• Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions
• Relativistic hydrodynamics - causality and stability
• Dispersion and suppression of sound near QCD critical point
• Dynamical spectral structure of density fluctuation near QCD critical point
• Role of slow, out-of-equilibrium modes on the dynamic structure factor near the QCD critical point