# PRAGUE CENTRE OF
MATHEMATICAL
GEOPHYSICS,
METEOROLOGY, AND THEIR
APPLICATIONS

(MAGMA)

### Thermodynamics and minerals physics

Jan Matas, Ecole Normale Supérieure, Lyon, France

Prague, Mar 8/10/15/17/22/24/29, 2004
Classical thermodynamics is a powerfull tool for studying physical
properties of the Earth interior. In a series
of seven two-hours lectures, the fundamental principles have been
discussed in view of their possible geophysical applications.

1. First and second principle of thermodynamics

1.1. Internal energy and entropy

1.2. Definitions of thermodynamic variables

1.3. Chemically heterogeneous systems - definition of chemical potential

1.4. Partial properties, experimental observations

2. Chemical equilibrium, phase diagrams

2.1. Minimization of Gibbs free energy

2.2. Euler theorem and Gibbs-Duhem condition

2.3. Clapeyron curves

2.4. Isentropic grandient

3. Equation of state

3.1. Perfect gas and real fluids

3.2. Incompressibility and thermal expansion

3.3. Finite strain Birch-Murnaghan EoS

3.4. Inversions of experimental observations

4. Solid solutions

4.1. Entropy and enthalpy of mixing

4.2. Ideal model - olivine and high-pressure polymorphs

4.3. Relaxed and unrelaxed properties - Bullen parameter

4.4. Non-ideality of solutions, immiscibility

Last edited Apr 5, 2004