Thermodynamics and Statistical Physics
| Type of study | Follow-up Master |
|---|---|
| Language of instruction | Czech |
| Code | 480-4019/01 |
| Abbreviation | TSF |
| Course title | Thermodynamics and Statistical Physics |
| Credits | 6 |
| Coordinating department | Department of Physics |
| Course coordinator | doc. RNDr. Dalibor Ciprian, Ph.D. |
Subject syllabus
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.
E-learning
Consultation on demands through MS Teams
Literature
HARDY, R., J., BINEK, CH.: Thermodynamics and Statistical Mechanics, An Integrated Approach, John Wiley&Sons, USA, 2014, ISBN-13 978-1118501009
LAURENDEAU N. M.: Statistical Thermodynamics: Fundamentals and Applications, Cambridge University Press, 2010, ISBN 978-0521154192
SONNTAG, R. E., BORGNAKKE, C., VAN WYLEN, G. J. Fundamentals of Thermodynamics. John Wiley&Sons, USA, 2003, ISBN 0-471-15232-3
LAURENDEAU N. M.: Statistical Thermodynamics: Fundamentals and Applications, Cambridge University Press, 2010, ISBN 978-0521154192
SONNTAG, R. E., BORGNAKKE, C., VAN WYLEN, G. J. Fundamentals of Thermodynamics. John Wiley&Sons, USA, 2003, ISBN 0-471-15232-3
Advised literature
AUBIN C.: Statistical Thermodynamics: An Information Theory Approach, Wiley, 2024, ISBN 978-1394162277
SWENDSEN R. H.: An Introduction to Statistical Mechanics and Thermodynamics, 2ed., Oxford University Press, 2020, ISBN 978-0198853237
SHELL, M., S.: Thermodynamics and Statistical Mechanics, Cambridge University Press, 2015, ISBN-13 978-1107656789 ;
SWENDSEN R. H.: An Introduction to Statistical Mechanics and Thermodynamics, 2ed., Oxford University Press, 2020, ISBN 978-0198853237
SHELL, M., S.: Thermodynamics and Statistical Mechanics, Cambridge University Press, 2015, ISBN-13 978-1107656789 ;