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absolute zero additive invariants assume assumption atoms chemical coexisting modifications compliance matrix components composite system conjugate consider constant constraints corresponding critical equilibrium critical point crystal defined densities discussion domain doublet modifications Ehrenfest elliptic points ensemble entropy entropy maximum principle experimental extensive variables ferromagnetic finite fluid formalism geometrical Gibbs function Gibbs space Hence heterogeneous equilibrium identical intensities internal energy Ising model lattice gas Legendre transform limit liquid helium low form macroscopic magnetic maximum principle modification doublets mole numbers momentum P-space parabolic points phase equilibrium phase rule Phys point of view postulational basis present theory primitive fundamental equation primitive surface problem properties quadratic form quantities quantum mechanical relations reservoir scale factor second phase rule Section simple system singular specific heat spin stability statistical subsystems superfluid symmetry temperature theoretical thermodynamic system thermostatic tion transformation valid virtual displacement virtual processes volume wave function X-line X-point Xr+i