Magneto-vortical evolution of QGP in heavy ion collisions

Abstract

The interplay of magnetic field and thermal vorticity in a relativistic ideal fluid might generate fluid vorticity during the fluid evolution provided the flow fields and the entropy density of the fluid is inhomogeneous \cite{Mahajan:2010}. Exploiting this fact and assuming large magnetic Reynolds number we study the evolution of generalised magnetic field (B^) which is defined as a combination of the usual magnetic field (B⃗ ) and relativistic thermal vorticity (ωμν), in a 2(space)+1(time) dimensional isentropic evolution of Quark Gluon Plasma (QGP) with longitudinal boost invariance. The temporal evolution of B^ is found to be different than B⃗ , and the B^ evolution also depends on the position of the fluid along the beam direction (taken along the z axis) with respect to the mid-plane z=0. Further it is observed that the transverse components (Bx^, By^) evolve differently around the mid-plane.