2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18475We study freely evolving and forced inelastic gases using the Boltzmann equation. We consider uniform collision rates and obtain analytical results valid for arbitrary spatial dimension d and arbitrary dissipation coefficient epsilon. In the freely evolving case, we find that the velocity distribution decays algebraically, P(v,t) ~ v^{-sigma} for sufficiently large velocities. We derive the exponent sigma(d,epsilon), which exhibits nontrivial dependence on both d and epsilon, exactly. In the forced case, the velocity distribution approaches a steady-state with a Gaussian large velocity tail.4 pages, 1 figureStatistical MechanicsSoft Condensed MatterCellular Automata and Lattice GasesExactly Solvable and Integrable Systemstext