The non-equilibrium contributions to the post-Newtonian hydrodynamic equations are determined from a relaxation-time model of Boltzmann equation. Chapman- Enskog method is used calculate distribution function. components energy–momentum tensor found knowledge and equilibrium Maxwell–Jüttner functions. linearized field for mass, momentum internal energy densities coupled with three Poisson appro...

The anomalous transport of particles in the presence a time-dependent field is considered framework comb model. This turbulent-like dynamics consists inhomogeneous advection along x-backbone and Brownian motion y-side branches. geometrically constrained leads to diffusion backbone, which described by fractional equation with coefficients. time periodic process localization particular form relax...

The Bhatnagar-Gross-Krook (BGK) single-relaxation-time collision model for the Boltzmann equation serves as foundation of lattice BGK (LBGK) method developed in recent years. description a uniform relaxation process distribution function towards its equilibrium is, many scenarios, simplistic. Based on previous series papers, we present formulated independent relaxations irreducible components H...