  We use the Hamiltonian formulation of kinetic theory to perform a stability
analysis of non-thermal fixed points in a non-Abelian plasma. We construct a
perturbative expansion of the Fokker-Planck collision kernel in an adiabatic
approximation and show that the (next-to-)leading order solutions reproduce the
known non-thermal fixed point scaling exponents. Working at next-to-leading
order, we derive the stability equations for scaling exponents and find the
relaxation rate to the non-thermal fixed point. This approach provides the
basis for an understanding of the prescaling phenomena observed in QCD kinetic
theory and non-relativistic Bose gas systems.
