Thermodynamics and Statistical Mechanics, 6 credits

Termodynamik och statistisk mekanik, 6 hp

TFYA12

Course starting semester

Main field of study

Applied Physics Physics

Course level

First cycle

Course type

Programme course

Examiner

Peter Münger

Director of studies or equivalent

Magnus Johansson

Education components

Preliminary scheduled hours: 52 h
Recommended self-study hours: 108 h

Possible deviation from course syllabus/programme syllabus

ECV = Elective / Compulsory / Voluntary

Course offered for		Semester	Period	Timetable module	Language	Campus	ECV
6CYYI	Applied Physics and Electrical Engineering - International, M Sc in Engineering	5 (Autumn 2017)	2	1	Swedish	Linköping, Valla	C
6CYYI	Applied Physics and Electrical Engineering - International, M Sc in Engineering	5 (Autumn 2017)	2	1	Swedish	Linköping, Valla	C
6CYYI	Applied Physics and Electrical Engineering - International, M Sc in Engineering	5 (Autumn 2017)	2	1	Swedish	Linköping, Valla	C
6CYYI	Applied Physics and Electrical Engineering - International, M Sc in Engineering	5 (Autumn 2017)	2	1	Swedish	Linköping, Valla	C
6CYYI	Applied Physics and Electrical Engineering - International, M Sc in Engineering	5 (Autumn 2017)	2	1	Swedish	Linköping, Valla	C
6CYYY	Applied Physics and Electrical Engineering, M Sc in Engineering	5 (Autumn 2017)	2	1	Swedish	Linköping, Valla	C
6KFYN	Physics, Bachelor´s Programme	3 (Autumn 2017)	2	1	Swedish	Linköping, Valla	C

Main field of study

Applied Physics, Physics

Course level

First cycle

Advancement level

G2X

Course offered for

Applied Physics and Electrical Engineering - International, M Sc in Engineering
Applied Physics and Electrical Engineering, M Sc in Engineering
Physics, Bachelor´s Programme

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

Calculus in one and several variables

Intended learning outcomes

The general aim of the statistical mechanics part of the course is that the student equipped with a quantum mechanical description of physical systems on a microscopic level and guided by the principle of entropy maximization - can derive equilibrium features of macroscopic systems that apply to thermodynamics, medicine, metallurgy, chemistry and semiconductor physics. This means that the student should be able to:

construct idealized models for microscopic systems and calculate equilibrium features under different circumstance, i.e. given temperature, chemical potential or energy
give an account of the reasoning and/or derivations in statistical mechanics and describe the connection between the basic concepts of the theory
use the statistical mechanics results for problem solving in thermodynamics, medicine, metallurgy, chemistry and semiconductor physics.

Course content

The statistical definitions of entropy, temperature, pressure and chemical potential constitutes the starting point. Other concepts that are presented is: multiplicity, ensemble average, specific heat, Boltzmann factor, partition function, thermodynamic identity, Helmholtz free energy, classical ideal gas, quantum concentration, Sackur-Tetrodes equation, Planck radiation law, Stefan-Boltzmanns law, emissivity, photon gas, greenhouse effect, heat shields, internal and external chemical potential, Gibbs factor, Gibbs sum (grand partition function), absolute activity, Langmuir adsorption isotherm, orbital, Pauli exclusion principle, Fermi-Dirac distribution, Bose-Einstein distribution, internal partition function, reversibility, free electron model, density of states, chemical potential as a normalizing constant, heat, work, heat engine, refrigerator, heat pump, Carnot process, adiabatic process, isothermal process, Gibbs free energy, law of mass action, phase transformation, Clausius-Clapeyron equation, van der Waals equation.

Teaching and working methods

The course is presented in lectures and problem solving lessons.

Examination

TEN1

Written examination

6 credits

U, 3, 4, 5

Grades

Four-grade scale, LiU, U, 3, 4, 5

Department

Institutionen för fysik, kemi och biologi

Director of Studies or equivalent

Magnus Johansson

Examiner

Peter Münger

Course website and other links

Education components

Preliminary scheduled hours: 52 h
Recommended self-study hours: 108 h

Course literature

Additional literature

Books

David Goodstein, (2015) Thermal physics Energy and Entropy 1 Cambridge University Press
ISBN: 978-1-107-46549-7

Compendia

E. Peter Münger, Läs- och räkneråd för kursen termodynamik och statistisk mekanik

Code	Name	Scope	Grading scale
TEN1	Written examination	6 credits	U, 3, 4, 5

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva.

Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)

Course literature is preliminary.

Additional literature

Books

David Goodstein, (2015) Thermal physics Energy and Entropy 1 Cambridge University Press

ISBN: 978-1-107-46549-7

Compendia

E. Peter Münger, Läs- och räkneråd för kursen termodynamik och statistisk mekanik

Download

Download course literature list as PDF

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize

		I	U	A	Modules
1. DISCIPLINARY KNOWLEDGE AND REASONING
	1.1 Knowledge of underlying mathematics and science (G1X level)		X	X	TEN1
	1.2 Fundamental engineering knowledge (G1X level)	X
	1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)	X
	1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)
	1.5 Insight into current research and development work
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
	2.1 Analytical reasoning and problem solving		X	X	TEN1
	2.2 Experimentation, investigation, and knowledge discovery	X	X		TEN1
	2.3 System thinking	X	X		TEN1
	2.4 Attitudes, thought, and learning	X	X		TEN1
	2.5 Ethics, equity, and other responsibilities		X		TEN1
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
	3.1 Teamwork
	3.2 Communications			X
	3.3 Communication in foreign languages			X
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
	4.1 External, societal, and environmental context	X
	4.2 Enterprise and business context
	4.3 Conceiving, system engineering and management
	4.4 Designing
	4.5 Implementing
	4.6 Operating
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
	5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development
	5.2 Economic conditions for knowledge development
	5.3 Identification of needs, structuring and planning of research or development projects
	5.4 Execution of research or development projects
	5.5 Presentation and evaluation of research or development projects

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