480-8806/01 – Statistical Physics of Solids (SFPL)
| Gurantor department | Department of Physics | Credits | 10 |
| Subject guarantor | doc. RNDr. Dalibor Ciprian, Ph.D. | Subject version guarantor | doc. RNDr. Dalibor Ciprian, Ph.D. |
| Study level | postgraduate | Requirement | Compulsory |
| Year | | Semester | winter + summer |
| | Study language | Czech |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FMT | Intended for study types | Doctoral |
Subject aims expressed by acquired skills and competences
The aim of the course is to present basic methods od statistical physics and their applications to solid state physics. After the course, the students are able to analyse and characterize the behavior of solid state systems described statistical physics models and interconnect this knowledge with thermodynamics.
Teaching methods
Lectures
Seminars
Individual consultations
Summary
The content of the course is focused on methods of physical system description using mathematical statistics. The basic classical and quantum distributions are derived, and the interconnection with thermodynamics is analyzed. The applications of statistical physics methods are focused on solid state properties and transport phenomena.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Oral exam with written preparation.
E-learning
no e-learning available
Other requirements
Systematic study is assumed.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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