Module also offered within study programmes:
General information:
Name:
Kinetic theory and transport phenomena
Course of study:
2019/2020
Code:
ZSDA-3-0072-s
Faculty of:
Szkoła Doktorska AGH
Study level:
Third-cycle studies
Specialty:
-
Field of study:
Szkoła Doktorska AGH
Semester:
0
Profile of education:
Academic (A)
Lecture language:
English
Form and type of study:
Full-time studies
Course homepage:
 
Responsible teacher:
dr hab. inż. Tkacz-Śmiech Katarzyna (smiech@agh.edu.pl)
Dyscypliny:
inżynieria biomedyczna, inżynieria chemiczna, inżynieria materiałowa, nauki chemiczne, nauki fizyczne
Module summary

The course gives a broad view of nonequilibrium statistical mechanics using the kinetic theory approach. The objective is to balance qualitative analysis and detailed description of different phenomena that are explained and quantified by kinetic theory. The students gain knowledge about how the concepts of kinetic theory can be applied to various situations as diverse as light diffusion, bacterial suspensions, granular matter, the expanding universe, and many others.

Description of learning outcomes for module
MLO code Student after module completion has the knowledge/ knows how to/is able to Connections with FLO Method of learning outcomes verification (form of completion)
Social competence: is able to
M_K001 Is aware of the importance of basic research in every discipline, including technological sciences. SDA3A_K01 Participation in a discussion,
Activity during classes
Skills: he can
M_U001 Actively participates in the discussion regarding the fundamental laws of nature. SDA3A_U04 Activity during classes
M_U002 Can use knowledge of transport phenomena in the description of the properties of matter and technological processes. SDA3A_U01 Participation in a discussion,
Case study,
Scientific paper,
Activity during classes
Knowledge: he knows and understands
M_W001 Knows the essence of kinetic theories and their applicability to describe irreversible phenomena. SDA3A_W01 Scientific paper
M_W002 Understands a universal character of nonequilibrium statistical mechanics. SDA3A_W05 Activity during classes
Number of hours for each form of classes:
Sum (hours)
Lecture
Audit. classes
Lab. classes
Project classes
Conv. seminar
Seminar classes
Pract. classes
Zaj. terenowe
Zaj. warsztatowe
Prace kontr. przejść.
Lektorat
40 20 0 0 0 0 20 0 0 0 0 0
FLO matrix in relation to forms of classes
MLO code Student after module completion has the knowledge/ knows how to/is able to Form of classes
Lecture
Audit. classes
Lab. classes
Project classes
Conv. seminar
Seminar classes
Pract. classes
Zaj. terenowe
Zaj. warsztatowe
Prace kontr. przejść.
Lektorat
Social competence
M_K001 Is aware of the importance of basic research in every discipline, including technological sciences. + - - - - - - - - - -
Skills
M_U001 Actively participates in the discussion regarding the fundamental laws of nature. - - - - - + - - - - -
M_U002 Can use knowledge of transport phenomena in the description of the properties of matter and technological processes. - - - - - + - - - - -
Knowledge
M_W001 Knows the essence of kinetic theories and their applicability to describe irreversible phenomena. + - - - - + - - - - -
M_W002 Understands a universal character of nonequilibrium statistical mechanics. + - - - - + - - - - -
Student workload (ECTS credits balance)
Student activity form Student workload
Summary student workload 47 h
Module ECTS credits 3 ECTS
Udział w zajęciach dydaktycznych/praktyka 40 h
Preparation for classes 2 h
przygotowanie projektu, prezentacji, pracy pisemnej, sprawozdania 3 h
Realization of independently performed tasks 2 h
Module content
Lectures (20h):

Topics covered in this course include general concepts and tools of kinetic theories as well as various systems described using specific kinetic models
1. A basic presentation of the one-particle distribution and the mean free path approach
2. A formal description of many-body distribution functions
3. Lorentz model for charge transport
4. The Boltzmann equation for classical gases
5. Brownian motion and the Planck equation, diffusion
6. The Vlasov equation for plasmas
7. Systems with long-range interactions, galaxies
8. Quantum gases with the Pauli exclusion principle (fermions, bosons)
9. Electrons in a crystalline solid
10. Band structure, insulators, conductors and semiconductors
11. Chosen numerical methods that can be used to solve the kinetic models

Seminar classes (20h):

Presentations covering additional topics selected individually for students according to their research interest.
Solving typical problems related to the kinetic models.
Presentation of the application of the kinetic models in physics, chemistry and materials science.

Additional information
Teaching methods and techniques:
  • Lectures: The lecture is presented in the form of a multimedia presentation combined with a classical blackboard lecture.
  • Seminar classes: In seminar classes, the basis is multimedia and oral presentation by students. Discussion and problem solving are another important element of education.
Warunki i sposób zaliczenia poszczególnych form zajęć, w tym zasady zaliczeń poprawkowych, a także warunki dopuszczenia do egzaminu:

To pass the course, a student has to present at least one presentation, show activity during the seminars (discussion and solving the problems) and attend at least 6 lectures.

Participation rules in classes:
  • Lectures:
    – Attendance is mandatory: No
    – Participation rules in classes: Lectures present the content in accordance with the syllabus. Some time at the end of the lecture is reserved for questions and discussion. Students receive multimedia materials in advance. In the case of frequent absences from the lecture, the student has to pass a test exam.
  • Seminar classes:
    – Attendance is mandatory: Yes
    – Participation rules in classes: Students present the topic indicated by the teacher. Both the substantive value of the presentation and the so-called soft skills are evaluated. The presentation is followed by a discussion. Activity in the discussion is also evaluated. The acquired knowledge is checked by solving the problems.
Method of calculating the final grade:

A final grade is provided a grade for the seminar, calculated in proportion to the number of points scored.
A student can get points for:
- the presentation – max. 20 points
- activity – max 20 points

Sposób i tryb wyrównywania zaległości powstałych wskutek nieobecności studenta na zajęciach:

A student can present his/her presentation in another convenient time. He/she can take an additional test of the lectures’ content during consultation hours.

Prerequisites and additional requirements:

A basis of thermodynamics.
Mathematical skills.

Recommended literature and teaching resources:

1. Y. Demirel, V. Gerbaud: Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical, Chemical and Biological Systems, Elsevier 2018.
2. R. Soto: Kinetic Theory and Transport Phenomena, Oxford Univ. Press, 2016.
3. R. W. Balluffi, S. M. Allen, W. C. Carter: Kinetic of materials, Wiley 2005.
4. D. Kondepudi: Introduction to modern thermodynamics, Wiley 2007.
5. Katarzyna Tkacz-Śmiech: Multicomponent Diffusion, Kraków 2018.

Scientific publications of module course instructors related to the topic of the module:

1. Katarzyna Tkacz-Śmiech: Multicomponent Diffusion, Kraków 2018.
2. Tkacz-Śmiech K.: Termodynamika dla ceramików, Kraków 2012.
3. K. Tkacz-Śmiech, M. Danielewski, B. Bożek, D. Zientara: Diffusive interaction between Ni−Cr−Al alloys, Metallurgical and Materials Transactions, A, Physical Metallurgy and Materials 48 (2017) 2633.
4. K. Tkacz-Śmiech, B. Bożek, L. Sapa, M. Danielewski: Viscosity controlled interdiffusion in nitriding, Diffusion Foundations 10 (2016) 28.

Additional information:

None