Magneto-vortical evolution of QGP in heavy ion collisions

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 (Mahajan and Yoshida 2010 Phys. Rev. Lett. 105, 095005). Exploiting this fact and assuming a large magnetic Reynolds number we study the evolution of a generalized magnetic field ((B) over cap) which is defined as a combination of the usual magnetic field ((B)over-right-arrow) and relativistic thermal vorticity (omega(mu nu)), in a 2(space) 1(time) dimensional isentropic evolution of quark-gluon plasma with longitudinal boost invariance. The temporal evolution of (B) over cap is found to be different than (B)over-right-arrow, and the (B) over cap 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 ((B) over cap (x), (B) over cap (y)) evolve differently around the mid-plane.