High Repetition Rate Exploration of the Biermann Battery Effect in Laser Produced Plasmas Over Large Spatial Regions

Self-generated magnetic fields occur in astrophysical systems throughout our universe. The Biermann battery is one possible source of such magnetic fields. This effect is caused by non-parallel temperature and density gradients within a plasma, represented in the magnetohydrodynamic framework by the baroclinic term in the induction equation, $\frac{c}{en_e}\vec{\nabla} T_e \times \vec{\nabla} n_e$. In this paper we present a high repetition rate laboratory astrophysics experiment examining the spatial structure and evolution of Biermann generated magnetic fields in laser produced plasmas. We have extended the work of prior experiments, which spanned over the millimeter scale, by measuring fields spatially at approximately 1.0 centimeter and larger. Our measurements show azimuthally symmetric magnetic fields with peak values of 60 G in our closest measurements, 0.7 cm from the target surface. Optical Thomson scattering measurements give values for the electron temperature and density of the laser produced plasma (LPP) on axis, of $T_e = 10\pm 2$ eV, and $(5.5\pm 1)\times10^{16}$ cm$^{-3}$, respectively. The velocity of the LPP's front has been estimated to be $\sim 330$ km s$^{-1}$ by measuring the time and position of the maximum magnetic fields measured. The expansion rate of the magnetic fields, and current density within the system are also mapped and examined. Furthermore, we have initiated a simulation campaign using the FLASH code to determine the veracity of the Biermann mechanism in our experiments, as well as the plasma's characteristics.