|1||Thermodynamic potentials: Gibbs free energy; per molecule and per unit volume thermodynamic potentials.|
|2|| First order phase transitions:
experimental observations; thermodynamic phases; free energy per unit
conditions for phase separation; local and global stability of a thermodynamic phase; graphical representation.
repulsion; Van der Waals attraction; induced dipole; electronic and
polarizability; estimations of Van der Waals attraction for simple molecules; Lennard-Jones potential.
|4||Incorporation of molecular
interactions into free energy: phase coexistence; common tangent
phase diagrams; spinodal and binodal lines; critical temperature; Clausius-Clapeyron equation.
|5||Van der Waals gas: free
pressure; spinodal; critical point; estimations of critical
approximation of binodal far from the critical point.
|6||Van der Waals gas near the
point: free energy; binodal line; first and second-order phase
critical opalescence; nucleation and growth; surface energy; critical nucleous.
|7||Ferromagnet-paramagnet second-order phase transition; Landau theory of phase transitions.|
|8||Kinetic theory of gases:
velocities; kinetic derivation of pressure of ideal gas;
Maxwell distribution of velocities.
|9||Diffusion and random walks
lattice model: mean-square displacement; diffusion coefficient;
the diffusion equation for random walks; diffusion as transport phenomenon; derivation of Fick's
laws from microscopic considerations; self- diffusion and collective diffusion coefficients.
in gas: random walks; distribution
of free paths; mean free path; mean square displacement
of a molecule; self-diffusion coefficient; diffusion in concentration gradient; derivation of Fick's laws;
equivalence of self-diffusion and collective diffusion coefficients for gases.
|11||Other linear transport
in gases: heat conductivity; Fourier law; thermalization; thermal
conductivity coefficient; momentum transport; viscosity; mobility of molecules in the external field;
Einstein relation; detailed balance.
|12||Quantum gases: limits of
approach to gases; bosons and fermions;
Fermi-Dirac and Bose-Einstein statistics; Boltzmann gas as extrapolation of classical gas.
|13||Fermions: density of
energy; total energy and pressure of fermion gas at zero temperature;
heat capacity of fermion gas.
|14||Bosons: Bose-Einstein condensation; physical origin and derivation; relation to superfluidity and superconductivity.|