No. | Topic |
---|---|

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
volume; conditions for phase separation; local and global stability of a thermodynamic phase; graphical representation. |

3 | Molecular interactions:
hard-core
repulsion; Van der Waals attraction; induced dipole; electronic and
dipole 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
construction; phase diagrams; spinodal and binodal lines; critical temperature; Clausius-Clapeyron equation. |

5 | Van der Waals gas: free
energy;
pressure; spinodal; critical point; estimations of critical
temperature; approximation of binodal far from the critical point. |

6 | Van der Waals gas near the
critical
point: free energy; binodal line; first and second-order phase
transition; 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:
characteristic
velocities; kinetic derivation of pressure of ideal gas;
Maxwell distribution of velocities. |

9 | Diffusion and random walks
on a
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. |

10 | Diffusion
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
phenomena
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
classical
approach to gases; bosons and fermions; Fermi-Dirac and Bose-Einstein statistics; Boltzmann gas as extrapolation of classical gas. |

13 | Fermions: density of
states; Fermi
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. |