“…In a simple thermodynamical model, when the amount of substance N is changed by a factor of λ at a constant gas pressure and temperature, V , energy U , and S in the system have extensivity like: λ U ( S , V , N ) = U (λ S , λ V , λ N ) and λ S ( U , V , N ) = S (λ U , λ V , λ N ) [ 35 ]. We carefully note that this is valid when constituent particles are in equilibrium over the whole volume, and our experiments in which the gas pressure was at several hundreds of Pa are the cases within this criteria; if the pressure increases the level close to the atmospheric pressure [ 37 ], viscous forces in gas flows are dominant over particle diffusions and may break this principle. Within the criteria of homogeneous low pressure throughout the system, the extensivity described here means that, for constant n , change of V is a reversible process without irreversible parts since the extensivity of S is valid due to the reversibility.…”