Work

Relaxation-Time Boltzmann Solutions Without Truncations

Year: 2026
Type: preprint
Abstract: The relaxation-time Boltzmann equation governs relativistic matter far from equilibrium, but existing approaches rely on finite-order truncations that break down in this regime. We introduce ShARK (Stochastic Advection Relaxation Kinetics), the first fully 3D Monte Carlo kinetic framework to capture exact, far-from-equilibrium ultrarelativistic dynamics for arbitrary initial conditions while directly enforcing target transport coefficients, converging to the exact Anderson-Witting solution. Validated against the Bjorken and Gubser flows, the framework reproduces the exact kinetic result where truncated methods fail.
Language: English
Open Access status: green
OpenAlex ID: W7214770270
Cites: 31
Cited by:
Related to: 10