Classical irreversible thermodynamics versus extended irreversible thermodynamics. The role of the continuity equation

Irreversible Thermodynamics

There are alternative sets of postulates which yield entirely equivalent results for several important theories. In such cases the choice of a particular set of postulates may be based upon mathematical simplicity, close relationship to experiments or to the nature of the theory, or merely personal taste. While the postulate of conservation of energy is usually presented in similar form for the...

Relativistic Boltzmann equation and relativistic irreversible thermodynamics

The covariant Boltzmann equation for a relativistic gas mixture is used to formulate a theory of relativistic irreversible thermodynamics. The modified moment method is applied to derive various evolution equations for macroscopic variables from the covariant Boltzmann equation. The method rigorously yields the entropy differential which is not an exact differential if

Basics of Irreversible Thermodynamics

Weakly Nonlocal Irreversible Thermodynamics

Weakly nonlocal thermodynamic theories are critically revisited. A relocalized, irreversible thermodynamic theory of nonlocal phenomena is given, based on a modified form of the entropy current and new kind of internal variables, the so called current multipliers. The treatment is restricted to deal with nonlocality connected to dynamic thermodynamic variables. Several classical equations are d...

Weakly Nonlocal Irreversible Thermodynamics

Weakly nonlocal thermodynamic theories are critically revisited. The irreversible thermodynamic theory of nonlocal phenomena is given, based on a modified form of the entropy current. Several classical equations are derived , including Guyer-Krumhansl, Ginzburg-Landau and Cahn-Hilliard type equations.