2025/09/02 by Bartelmann, Matthias, Stokes, James
#Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences
paper · doi:10.48550/arxiv.2509.02459
The kinetic field theory is developed without assumptions of statistical homogeneity and isotropy. In a solvable toy model with short-ranged interactions, we compare first-order perturbation theory to an iterated mean-field approximation scheme, demonstrating that the mean-field theory maintains positivity and captures collapse dynamics, allowing analytic estimates of blow-up times. In a self-gravitating sheet model, the first-order perturbation theory is shown to reproduce critical phenomena. This work suggests a path toward convergence analysis of the mean-field approximation and applications to more complex inhomogeneous systems.