Course Unit Code | 480-8674/01 |
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Number of ECTS Credits Allocated | 3 ECTS credits |
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Type of Course Unit * | Choice-compulsory type B |
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Level of Course Unit * | First Cycle |
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Year of Study * | Third Year |
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Semester when the Course Unit is delivered | Winter, Summer Semester |
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Mode of Delivery | Face-to-face |
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Language of Instruction | Czech |
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Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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Name of Lecturer(s) | Personal ID | Name |
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| CIP10 | doc. RNDr. Dalibor Ciprian, Ph.D. |
Summary |
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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. |
Learning Outcomes of the Course Unit |
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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. |
Course Contents |
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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 |
Recommended or Required Reading |
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Required Reading: |
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Reif, F., Fundamentals of Statistical and Thermal Physics, Waveland Pr Inc., 2008, ISBN 978-1577666127
Hill, T., L., An Introduction to Statistical Thermodynamics, Dover Publications, 1987, ISBN 978-0486652429 |
Kvasnica, J., Statistická fyzika, Academia, 1998, ISBN 80-200-0676-1
Boublík, T., Statistická termodynamika, Academia, 1996, ISBN 80-200-0566-8.
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Recommended Reading: |
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Chandler, D., Introduction to Modern Statistical Mechanics, Oxford University Press, 1987, ISBN 978-0195042771
Pathria, R., K., Statistical Mechanics, 3rd Ed., Academic Press, 2011, ISBN 978-0123821881 |
Maršák, Z., Termodynamika a statistická fyzika, ČVUT Praha, 1995, ISBN 80-01-01401-0
Malijevský, A., Lekce ze statistické termodynamiky, 3. vyd., Vydavatelství VŠCHT Praha, 2009, ISBN 978-80-7080-710-1 |
Planned learning activities and teaching methods |
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Lectures, Seminars, Tutorials |
Assesment methods and criteria |
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Task Title | Task Type | Maximum Number of Points (Act. for Subtasks) | Minimum Number of Points for Task Passing |
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Credit and Examination | Credit and Examination | 100 (100) | 51 |
Credit | Credit | 30 | 16 |
Examination | Examination | 70 | 35 |