480-8806/02 – Statistical Physics of Solids (SFPL)

Gurantor departmentDepartment of PhysicsCredits10
Subject guarantordoc. RNDr. Dalibor Ciprian, Ph.D.Subject version guarantordoc. RNDr. Dalibor Ciprian, Ph.D.
Study levelpostgraduateRequirementCompulsory
YearSemesterwinter + summer
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesUSP, FMTIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
CIP10 doc. RNDr. Dalibor Ciprian, Ph.D.
KOS09 prof. RNDr. Pavol Koštial, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 20+0
Part-time Examination 20+0

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:

GIRIFALCO, L., A., Statistical Mechanics of Solids, Oxford University Press, 2003, ISBN 978-0195167177 REIF, F., Fundamentals of Statistical and Thermal Physics, Waveland Press Inc., 2008, ISBN 978-1577666127 HILL, T., L., An Introduction to Statistical Thermodynamics, Dover Publications, 1987, ISBN 978-0486652429 COHEN, M. L., LOUIE, S. G.: Fundamentals of Condensed Matter Physics, Cambridge University Press, 2016, ISBN 978-0521513319 KITTEL, CH.: Introduction to Solid State Physics, 8th Ed., John Wiley & Sons, Inc. 2004, ISBN 978-0471415268

Recommended literature:

PATHRIA, R., K., Statistical Mechanics, 3rd Ed., Academic Press, 2011, ISBN 978-0123821881 SETHNA, J., P., Statistical Mechanics Entropy, Order Parameters, and Complexity, Oxford University Press, 2006, ISBN 978-0198566779

Way of continuous check of knowledge in the course of semester

Oral exam with written preparation.

E-learning

no e-learning available

Other requirements

Writing a report on a given topic.

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

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (P0788D270004) Material sciece and Engineering P English Ostrava Compulsory study plan
2021/2022 (P0788D270004) Material sciece and Engineering K English Ostrava Compulsory study plan
2020/2021 (P0788D270004) Material sciece and Engineering K English Ostrava Compulsory study plan
2020/2021 (P0788D270004) Material sciece and Engineering P English Ostrava Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner