Analytic solution for relativistic transverse flow at the softest point

Analytic solution for relativistic transverse flow at the softest point

We obtain an extension of Bjorken’s 1+1 dimensional scaling relativistic flow solution to relativistic transverse velocities with cylindrical symmetry in 1+3 dimension at constant, homogeneous pressure (vanishing sound velocity). This can be the situation during a first order phase transition converting quark matter into hadron matter in relativistic heavy ion collisions. Hydrodynamics often al...

Generating new solutions for relativistic transverse flow at the softest point

Using the method of prolongation we generate new stationary solutions from a recently obtained simple particular solution for relativistic transverse flow with cylindrical symmetry in 1+3 dimension. This is an extension of the longitudinal Bjorken flow ansatz and can be applied to situations during a first order phase transition in a fast expanding system. The prolongated solution allows us to ...

Antiflow of Nucleons at the Softest Point of the EoS

We investigate flow in semi-peripheral nuclear collisions at AGS and SPS energies within macroscopic as well as microscopic transport models. The hot and dense zone assumes the shape of an ellipsoid which is tilted by an angle Θ with respect to the beam axis. If matter is close to the softest point of the equation of state, this ellipsoid expands predominantly orthogonal to the direction given ...

An Analytic Flow Solution for YSO Jets

We present an analytic solution for a jet flow from a young stellar object (YSO). This solution allows us to compute the speed, density, and magnetic field strength of the flow, but it is only true if YSO jet flows are powered by toroidal magnetic fields. We illustrate how the balance between centrifugal force and magnetic pressure provides the converging/diverging nozzle shape required to acce...

An analytic solution for the perspective 4-point problem