Mathematical Foundations of ThermodynamicsFundamental concepts -- Formal processes -- Components of content -- Irreversibility -- Mechanical systems and adiabatic processes -- Entropy -- Topological considerations -- Thermodynamic space -- Equilibrium states and potential -- Perfect equilibrium states -- Thermodynamics of a rigidly enclosed system -- Systems of variable volume -- Electric and magnetic systems -- Galilean thermodynamics -- Symmetry in thermodynamics -- Special relativistic thermodynamics -- Appendix A. The formal theory -- Appendix B. Subadditive functions on a group -- Appendix C. The physical basis for the adjoint representation. |
Contents
FORMAL PROCESSES | 30 |
COMPONENTS OF CONTENT | 37 |
MECHANICAL SYSTEMS AND ADIABATIC PROCESSES | 48 |
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Mathematical Foundations of Thermodynamics: International Series of ... R. Giles Limited preview - 2016 |
Common terms and phrases
A₁ abelian group additive function adiabatic process adjoint representation angular momentum anti-equilibrium antinatural arbitrarily arbitrary assume axioms B₁ Chapter chemical potential components of content components of potential concept constant content Q content space corresponding defined definition denote determined element energy entropy function equation equilibrium surface finite follows g₁ given group 9 hysteresis instance introduced invariant irreversibility function linear Lorentz group Lorentz transformation lower bound M₁ mathematical mechanical system natural irreversible process natural process nents of content O₁ obtain p₁ perfect equilibrium piston positive component positive integer possible process primitive observer principle of equivalence Proof properties Q₁ quantities quasi-entropy function quasi-static process real number reference frame relation relativistic relativistic thermodynamics reversible rotation rules of interpretation space-time subadditive subadditive function sublinear function suppose symmetry group temperature test particle Theorem thermodynamic space vector space velocity zero δη δης