480-4401/05 – Thermodynamics and Statistical Physics (TSF)
Gurantor department | Department of Physics | Credits | 6 |
Subject guarantor | doc. RNDr. Dalibor Ciprian, Ph.D. | Subject version guarantor | doc. RNDr. Dalibor Ciprian, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 3 | Semester | summer |
| | Study language | English |
Year of introduction | 2018/2019 | Year of cancellation | 2020/2021 |
Intended for the faculties | USP, FMT | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Collect the basic principles of thermodynamics and statistical physics
Define the physical quantities for describing statistical ensembles with great numer of particles
Apply the simple mathematical methods for describing of the thermodynamic phenomene
Interpret the knowlidges from the mathematical statistics for solving of statistical physical problems
Teaching methods
Lectures
Seminars
Tutorials
Summary
The course is oriented on classical thrmodynamics and statistical physics.
Compulsory literature:
Recommended literature:
BEISER, A.: Concepts of Modern Physics, McGraw-Hill 2002
Additional study materials
Way of continuous check of knowledge in the course of semester
Discussion with students during the lessons.
E-learning
No e-learinig available.
Other requirements
Systematic individual off-classroom study is assumed.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
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 partition function, partition sum (integral). Relationships between 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 - Einsteinś distribution. Thermodynamic properties of photons file. Thermodynamic properties of a file of free electrons in the metal.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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