1. Basic concepts of thermodynamics, the state of thermodynamic equilibrium, the first and second postulate of thermodynamics. Reversible and irreversible processes, the criterion of reversibility of the process.
2. The first law of thermodynamics, heat capacity. The second law of thermodynamics. Entropy, entropy associated with the heat capacities of the system.
3. Thermodynamic potentials: internal energy, free energy, enthalpy, Gibbs potential. Gibbs - Helmholtz equation. Dependence of thermodynamic potentials of the number of particles in the system. Grandkanonical potential. The second law of thermodynamics for irreversible processes. Conditions of equilibrium thermodynamic system expressed by potentials.
4. Concepts of probability theory and mathematical statistics in statistical physics. Basic concepts and ideas of statistical physics. Microstates, macrostates, ensemble of systems. Ergodic hypothesis. Time evolution of probability density.
5. The mikrocanonical ensemble. Entropy and thermodynamic probability.
6. The canonical (Gibbs) ensemble. The distribution function, partition sum and integral. Relationships among partition functions and thermodynamic quantities. Maxwell – Boltzmann´s distribution of velocities of gas molecules. Classical and quantum harmonic oscillator.
7. Grand canonical ensemble. Grand canonical partition function. The transition to quantum statistics. Fermi – Dirac´s distribution. Bose - Einstein distribution. Thermodynamic properties of photon gas. Thermodynamic properties of a file of free electrons in the metal.
2. The first law of thermodynamics, heat capacity. The second law of thermodynamics. Entropy, entropy associated with the heat capacities of the system.
3. Thermodynamic potentials: internal energy, free energy, enthalpy, Gibbs potential. Gibbs - Helmholtz equation. Dependence of thermodynamic potentials of the number of particles in the system. Grandkanonical potential. The second law of thermodynamics for irreversible processes. Conditions of equilibrium thermodynamic system expressed by potentials.
4. Concepts of probability theory and mathematical statistics in statistical physics. Basic concepts and ideas of statistical physics. Microstates, macrostates, ensemble of systems. Ergodic hypothesis. Time evolution of probability density.
5. The mikrocanonical ensemble. Entropy and thermodynamic probability.
6. The canonical (Gibbs) ensemble. The distribution function, partition sum and integral. Relationships among partition functions and thermodynamic quantities. Maxwell – Boltzmann´s distribution of velocities of gas molecules. Classical and quantum harmonic oscillator.
7. Grand canonical ensemble. Grand canonical partition function. The transition to quantum statistics. Fermi – Dirac´s distribution. Bose - Einstein distribution. Thermodynamic properties of photon gas. Thermodynamic properties of a file of free electrons in the metal.