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By Robert Harris

While historian Fluke Kelso learns of the lifestyles of a mystery pc belonging to Josef Stalin he's made up our minds to trace it down, regardless of the outcomes. From the violent political intrigue and decadence of recent Moscow he heads north - to the huge forests surrounding the White Sea port of Archangel, and a terrifying stumble upon with Russia's unburied previous.

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3 Minimum Enthalpy Principle Similarly, the enthalpy H = U + pV can also be associated with a minimum principle. 52) as a direct consequence of the second law. e. dH ≤ 0 at S and p constant. 4 Minimum Gibbs’ Free Energy Principle Similar considerations are applicable to closed systems in which both temperature and pressure are maintained constant but now the central quantity is Gibbs’ free energy G = U − T S + pV . 54) ¯ . e. dG ≤ 0 at T and p constant. 55) The above criterion plays a dominant role in chemistry because chemical reactions are usually carried out under constant temperature and pressure conditions.

Such expressions have been identified as Maxwell’s relations. As a last remark, let us mention that the results established so far in homogeneous systems of total mass m and volume V are still valid when referred per unit mass and unit volume. 24), the fundamental relation per unit mass is u = u(s, v, . . , ck , . 37) reads as k ck = 1. 38) k=1 with T = (∂u/∂s)v,{ck } , p = −(∂u/∂v)s,{ck } , µ ¯k = (∂u/∂ck )s,v,{cj=k } . 32) take the form n u = T s − pv + n µ ¯k ck , k=1 S dT − v dp + ck d¯ µk = 0.

4) k=1 where s is the specific entropy (per unit mass), u is the specific internal energy, related to the specific total energy e by u = e − 12 v · v , with v the velocity field of the centre of mass of the cell, T is the absolute temperature, p is the hydrostatic pressure, v is the specific volume related to the mass density ρ by v = 1/ρ, ck = mk /m, the mass fraction of substance k, and µk its chemical potential. 3 Entropy Balance 41 A third consequence follows from the property that, locally, the system is stable.

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