[en] The similarity theory is applied to analyze the kinetic equation that correctly incorporates fluctuations occurring on arbitrary scales. Even though the problem is irreversible in time, the kinetic equation is non-dimensionalized in the same manner as the Vlasov equation, i.e., by dividing by the Debye radius r_D. In our theory, the quantity r_min=e²/T and the related mean free path λ∼r_D²/r_min in a thermodynamically equilibrium plasma serve as scales associated with a specific solution, thereby characterizing particular solutions rather than the kinetic equation. Consequently, particular solutions obtained with allowance for fluctuations in a turbulent plasma can be characterized by their own spatial scale, which differs from the characteristic scale used to non-dimensionalize the kinetic equation. It turns out that, for a plasma in which the transverse thermal diffusivity is larger than (r_D/ρ_e)²χ_cl, where χ_cl∼1/H²√(T), it suffices to take into account only one spatial scale, namely, the Debye radius r_D. Hence, with allowance for turbulent fluctuations, the invariance principle, proposed by Connor and Taylor, is violated, although the parameter range in which this violation is of crucial importance is found to be comparatively narrow. The scalings obtained from the theory developed are compared with empirical scalings for the global confinement time of a tokamak plasma