Calibrating the Striped-Jet Model in GRB Jets: Linking Analytic Predictions to Numerical Solutions

The prompt and early-afterglow phases of gamma-ray bursts (GRBs) are believed to originate from relativistic jets powered by compact engines such as neutron stars (NSs) or black holes (BHs). In the striped-jet model, magnetic dissipation occurs through the reconnection of "stripes" with opposite field directions and varying widths, which together determine the jet's acceleration and emission. Building on Damoulakis et al. (2023), we considered a generalized striped-jet framework that allows the Lorentz-factor evolution to vary, enabling direct comparison between magnetically dominated and thermally dominated jets. By comparing analytic predictions with numerical calculations, we confirmed that the model's scaling laws are mathematically consistent but found a systematic offset between the analytic and numerical solutions. This offset, which we calculate for various model parameters, reflects a normalization difference tied to engine type and acceleration index. The results show that while the analytic framework captures the correct physical trends, it requires empirically derived scaling factors. This refinement is a crucial step toward a predictive, simple, and comprehensive model for GRB jet modeling.