Syllabus
1. Equilibrium thermodynamics: local forms of conservation laws and thermodynamical relations.
Constitutive relations. Landau theory of phase transitions, critical phenomena.
Negative absolute temperatures. 2. Non-equilibrium thermodynamics: general description of non-equilibrium processes, principle of minimal entropy production, variational principles.
Onsager theory of kinetic coefficients. Spatial and temporal dissipative structures. 3.
Equilibrium statistical physics: broadening of Gibbs method (T---p ensable). Systems of non-interacting quantum particles (fermions, bosons, advanced applications).
Interacting particles (classical and quantum gases, Ising model). Theory of fluctuations.
Scaling theory, universality, renormalization. Mean field theory, disordered systems. 4.
Non-equlibrium statistical physics: Liouville equation for classical and quantum systems. Boltzmann kinetic equation.
Linear response theory, fluctuation-dissipation theorem. Mesoscopic description and stochastic methods. 5., 6.
Phase equilibrium, stability conditions in the multicomponent system. Thermodynamics of solutions.
Free enthalpy. Chemical potential.
Common-tangent construction. Gibbs-Duhem relation.
Partial quantities. Activity.
Ideal, regular and real solid solutions. Quantities of mixing. 7.
Binary phase diagrams. Total solubility.
Limited solubility, eutectic diagram, peritectic diagram. Short-range order.
Long-range order. Intermedial phases.
Ternary phase diagrams. Solidification of alloys, purification of materials, segregation processes. Transformations in solid state: diffusional and non-diffusional. 8.
Statistical models using interactions of nearest neighbors (for regular solid solutions, for short range order and long range order, configurational free energy of compounds).
Annotation
The course is taught in two parallel classes by specialty.
1. Equilibrium thermodynamics.
2. Non-equilibrium thermodynamics, general description.
3. Equilibrium statistical physics. Systems of non-interacting and interacting particles.
4. Non-equilibrium statistical physics.
5. Phase equilibrium, stability conditions.
6. Thermodynamics of mixed phases.
7. Phase diagrams (binary, ternary).
8. Statistical models using interactions of nearest neighbors. Short and long range ordering.