480-8674/01 – Statistical Physics (SFyz)
Gurantor department | Department of Physics | Credits | 3 |
Subject guarantor | doc. RNDr. Dalibor Ciprian, Ph.D. | Subject version guarantor | doc. RNDr. Dalibor Ciprian, Ph.D. |
Study level | undergraduate or graduate | Requirement | Choice-compulsory type B |
Year | 3 | Semester | winter + summer |
| | Study language | Czech |
Year of introduction | 2018/2019 | Year of cancellation | |
Intended for the faculties | FMT | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
The aim of the course is to present basic ideas and methods od statistical physics. After the course, the students are able to analyse and understand the behavior of simple systems described statistical physics models, and interconnect it to thermodynamics.
Teaching methods
Lectures
Seminars
Tutorials
Summary
The content of the course is focused on basic ideas and methods of physical system description using mathematical statistics. The basic classical and quantum distributions are derived, and the interconnection with thermodynamics is presented. The applications of statistical physics methods are demonstrated on simple systems.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Discussion with students during the lessons, final written test.
Combined exam.
E-learning
no e-learning available
Other requirements
Systematic out-of-class study required. The course is taught only in summer semester.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Combinatorics and probability calculus essentials
2. Basic definitions and principles od statistical physics and classical mechanics
3. Statistical ensembles - micro and macrostates, mean values and fluctuations
4. Probability density, Liouville's theorem, ergodic hypothesis
5. Microcanonic ensemble, thermodynamic probability and entropy
6. Canonical ensemble and its properties, distribution and partition functions
7. Relationship of partition function and thermodynamic quantities
8. Applications - Maxwell-Boltzmann distribution, classical and quantum harmonic oscillator
9. Grandcanonical ensemble and its partition function, chemical potential
10. Quantum statistics - Fermi-Dirac and Bose-Einstein distributions
11. Applications - phonons, free electron and photon gas
12. Statistical physics of magnetism, lattice systems
13. Computer models in statistical mechanics
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction