Anomalous Energy Injection in Turbulent Neutron Star Cores

Abstract: Neutron star glitches -- sudden increases in rotational frequency -- are thought to result from angular momentum transfer via quantized vortices in the superfluid core. Using a two-dimensional rotating atomic Bose-Einstein condensate with phenomenological damping and a pinning potential to mimic the crust, we model the dynamics underlying these events. Our simulations reveal a transient Kolmogorov-like turbulent cascade ($k^{-5/3}$) that transitions to a Vinen-like scaling ($k^{-1}$). We identify an anomalous secondary injection mechanism driven primarily by quantum pressure, which sustains turbulent fluctuations in pulsar glitches. By tuning the damping coefficient $\gamma$, we determine an optimal regime for energy transfer. These findings provide a robust analogy for neutron star glitch phenomena and offer new insights into turbulence in extreme astrophysical environments.