For the dissipation we obtain from these formulas: d F d t = ∑ ∑ i ∂ ∂ F ( T , V , N ) ∂ ∂ N i d N i d t = ∑ ∑ i μ μ i d N i d t = − − V R T ∑ ∑ r ( ln ⁡ ⁡ w r + − − ln ⁡ ⁡ w r − − ) ( w r + − − w r − − ) ≤ ≤ 0 The inequality holds because ln is a monotone function and, hence, the expressions ln ⁡ ⁡ w r + − − ln ⁡ ⁡ w r − − and w r + − − w r − − have always the same sign.