Speaker
Description
In this talk, we present the results of simulations that explore the gravitational wave spectra produced by domain walls in a $\mathbf{Z}_2$ model, using the publicly available $CosmoLattice$ code. Focusing on the approach to scaling, we investigate the impact of various initial fluctuations and mass-to-Hubble ratios. We demonstrate that the Velocity-Dependent One-Scale (VOS) model accurately describes the evolution toward scaling after just a few e-folds, irrespective of the initial fluctuation conditions. Using a $2048^3$ grid, we compute the gravitational wave spectra for a domain wall system in an expanding Universe with different equations of state. Additionally, we conduct semi-analytical studies of the unequal time correlator (UTC) to refine our understanding of gravitational wave production and the dynamics of domain walls.
