Lagrangian statistics of a shock-driven turbulent dynamo in decaying turbulence

Small-scale fluctuating magnetic fields of order $n$G are observed in supernova shocks and galaxy clusters, where its amplification is likely caused by the Biermann battery mechanism. However, these cannot be amplified further without turbulent dynamo, which generates energy through stretch-twist-fold (STF) Thus, we present here novel three-dimensional magnetohydrodynamic (MHD) simulations a laser-driven shock propagating into stratified, multiphase medium, to investigate post-shock field via dynamo. The configuration used currently being tested tunnel at National Ignition Facility (NIF). In probe statistical properties region, use $384 \times 512 384$ tracers track evolution Lagrangian framework, thus providing high-fidelity analysis shocked medium. Our indicate that growth field, accompanies near-Saffman kinetic decay ($E_{\textrm{kin}} \propto t^{-1.15})$ turbulence driving, exhibits slightly different characteristics as compared periodic box simulations. Seemingly no distinct phases exist evolution, because passage time observe during very short ($\sim\!0.3$ turnover time). Yet, rate still consistent with those expected for compressive (curl-free) driving subsonic, compressible turbulence. Phenomenological understanding dynamics velocity also elucidated frequency spectra, inertial range scalings Eulerian-Lagrangian bridge.