Since [OMEGA] is the thermodynamic potential associated with the variables (T, V, u), for fixed (T,V,p) the system tends to minimize Q.
Let us now consider a generic thermodynamic potential which is derived from [OMEGA] by means of appropriate Legendre transformations.
For [v.sup.sat.sub.w] and [[kappa].sup.sat.sub.T] of ice, we computed values from the IAPWS thermodynamic potential [3, 4].
At each condition, we first evaluated the Poynting correction [PI] rigorously from the full thermodynamic potential for ice [3, 4], using Eq.
This, in turn, requires that a certain thermodynamic potential map be applied to D-space with the rate of fulfillment of the intention in D-space being determined by the D-space kinetics involved.
If one defines this required thermodynamic potential map, mentioned above, in terms of certain geometrical fields and potentials in D-space, the equilibrium R-space counterparts of these are given by various Fourier Transforms (FTs).
Equation (1) is similar to the Legendre transformation between Helmholtz free energy F and internal energy U or between Gibbs free energy G and enthalpy H, and therefore these energy components of quasi-localized energy-momentum complexes [mathematical expression not reproducible] could correspond to
thermodynamic potentials. But, in previous studies of Yang et al.
The
thermodynamic potential per unit volume for hadronic medium [([OMEGA]/V).sub.H] can be therefore written as
Finally, the zero-field
thermodynamic potential can be expressed as
We choose M to be the
thermodynamic potential and build up both thermodynamic phase space and the space of thermodynamic equilibrium states.
and the expressions for the well-known
thermodynamic potentialsDolan, "The cosmological constant and black-hole
thermodynamic potentials, " Classical and Quantum Gravity, vol.