Statistical Physics Field of study: Physics
Programme code: W4-S2FZA22.2.2021

Module name: Statistical Physics
Module code: W4-2F-12-13
Programme code: W4-S2FZA22.2.2021
Semester: winter semester 2021/2022
Language of instruction: English
Form of verification: exam
ECTS credits: 4
Description:
During the lecture, the student will learn about the following issues: • Thermodynamic systems, Thermodynamic parameters, Equation of state, Equilibrium states, Thermodynamic potentials, • Work and heat; Ideal gas , Zero, First, Second and Third laws of thermodynamics, Heat and entropy, Clausius theorem, • Thermodynamic processes, Carnot cycle, Stability conditions, • Probability and frequency, Probability of combined events, Random Variable, Expected values, Transformation of variables, • The main PDFs, Multivariate distributions, • Statistical definition of entropy, Number of microstates, • Liouville’s theorem , Microcanonical ensemble, The canonical ensemble, • The partition function, Proof that the statistical entropy equals the thermodynamic entropy, • Virial and equipartition theorems, • Applications of the canonical ensemble: quantum oscillators, The macrocanonical ensemble, • Density operators, Quantum ensembles, Symmetry of many-particle wave functions, • Ideal quantum systems, Bose gas, Photon gas, Phonons, • Fermi gas, Relativistic fermions, • General properties of phase transitions, Gas with interacting particles, • Critical exponents, Correlation functions.
Prerequisites:
Basic knowledge of quantum mechanics and probability theory
Key reading:
(no information given)
Learning outcome of the module Codes of the learning outcomes of the programme to which the learning outcome of the module is related [level of competence: scale 1-5]
Understands the fundamental importance of statistical physics for understanding physical phenomena; [2F_13_1]
 KF_W01 [4/5]
Acquires in-depth knowledge of the statistical description of experimental physics; [2F_13_2]
 KF_W02 [3/5]
Has in-depth knowledge of statistical physics and understands its relationship with quantum mechanics; [2F_13_3]
 KF_W03 [5/5]
Knows a description of physical phenomena within selected statistical models; [2F_13_4]
 KF_W05 [3/5]
Is able to explain physical processes in the world around him based on statistical physics; [2F_13_5]
 KF_U03 [4/5]
Can use mathematical formalism to build and analyze statistical physics models; [2F_13_6]
 KF_U09 [3/5]
Is able to integrate and interpret information obtained on the basis of statistical physics, draw conclusions and formulate and justify opinions [2F_13_7]
 KF_U12 [4/5]
Type Description Codes of the learning outcomes of the module to which assessment is related
colloquium [2F_13_w_1]
twice a semester; date of the colloquium announced to students two weeks earlier; tasks of a similar type to those at the seminar; grading scale 2-5;
 2F_13_2 2F_13_3 2F_13_4 2F_13_5 2F_13_6 2F_13_7
activity in class [2F_13_w_2]
solving a task - oral answer; participation in the discussion; grading scale 2-5; final grade equal to the average of partial grades
 2F_13_1 2F_13_2 2F_13_3 2F_13_4 2F_13_5 2F_13_6 2F_13_7
written exam (or oral exam) [2F_13_w_3]
the condition of taking the exam is passing the seminar; scope of material - all issues discussed in lectures; grading scale 2-5;
 2F_13_1 2F_13_2 2F_13_3 2F_13_4 2F_13_5 2F_13_6 2F_13_7
Form of teaching Student's own work Assessment of the learning outcomes
Type Description (including teaching methods) Number of hours Description Number of hours
lecture [2F_13_fs_1]
lecture on selected issues using audiovisual aids
 20
work with a textbook; supplementary reading
 30 written exam (or oral exam) [2F_13_w_3]
discussion classes [2F_13_fs_2]
solving of tasks on the board:analysis,method selection, calculation and discussion of results;deriving some formulas and discussing selected examples signaled during lectures,discussion;the possibility of using computers
 20
acquire knowledge of lectures; work with a textbook and task sets;
 30 colloquium [2F_13_w_1] activity in class [2F_13_w_2]
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)