Introduction to statistical mechanics, combinatorics and probability calculus essentials, selected parts of classical and quantum mechanics.
System description using phase space, Liouville's theorem, probability density, ergodic hypothesis.
Statistical ensembles, microstates and macrostates, mean value and fluctuations.
Microcanonical ensemble, thermodynamic probability and entropy.
Canonical ensemble, Gibbs partition function, distribution functions.
Relationships between statistical mechanics and thermodynamic quantities.
Applications: harmonic crystal model, phonon gas and heat capacity models.
State equations models for solid states.
Basic quantum distribution functions and their applications, free electron gas.
Statistical description of electron transport, Boltzmann kinetic equation and its applications.
Statistic description and models of magnetic systems.
Application on statistical mechanics to phase transitions.
System description using phase space, Liouville's theorem, probability density, ergodic hypothesis.
Statistical ensembles, microstates and macrostates, mean value and fluctuations.
Microcanonical ensemble, thermodynamic probability and entropy.
Canonical ensemble, Gibbs partition function, distribution functions.
Relationships between statistical mechanics and thermodynamic quantities.
Applications: harmonic crystal model, phonon gas and heat capacity models.
State equations models for solid states.
Basic quantum distribution functions and their applications, free electron gas.
Statistical description of electron transport, Boltzmann kinetic equation and its applications.
Statistic description and models of magnetic systems.
Application on statistical mechanics to phase transitions.