Let us represent the generalized mass action law in the equivalent form: the rate of the elementary process ∑ ∑ i α α r i A i ⟶ ⟶ ∑ ∑ i β β r i A i is w r = φ φ r exp ⁡ ⁡ ( ∑ ∑ i α α r i μ μ i R T ) where μ μ i = ∂ ∂ F ( T , V , N ) / ∂ ∂ N i is the chemical potential and F ( T , V , N ) is the Helmholtz free energy. The exponential term is called the Boltzmann factor and the multiplier φ φ r ≥ ≥ 0 is the kinetic factor. Let us count the direct and reverse reaction in the kinetic equation separately: d N i d t = V ∑ ∑ r γ γ r i w r An auxiliary function θ θ ( λ λ ) of one variable λ λ ∈ ∈ [ 0 , 1 ] is convenient for the representation of dissipation for the mass action law θ θ ( λ λ ) = ∑ ∑ r φ φ r exp ⁡ ⁡ ( ∑ ∑ i ( λ λ α α r i + ( 1 − − λ λ ) β β r i ) ) μ μ i R T ) This function θ θ ( λ λ ) may be considered as the sum of the reaction rates for deformed input stoichiometric coefficients α α ~ ~ ρ ρ ( λ λ ) = λ λ α α ρ ρ + ( 1 − − λ λ ) β β ρ ρ . For λ λ = 1 it is just the sum of the reaction rates. The function θ θ ( λ λ ) is convex because θ θ ″ ( λ λ ) ≥ ≥ 0 .