FSG3136 Statistical mechanics for engineers 5.0 credits
Content and learning outcomes
Course contents
In this course, the statistical mechanics approach is introduced and examples of applications to micro- and nano-fluidics problems are discussed. The first part of the course is dedicated to the Hamilton formalism and the Louville equations. Then, the classical statistical mechanics is introduced (microcanonical and canonical ensemble). Ideal gas thermodynamics is derived using the canonical ensemble. The last part of the course is dedicated to example of application of statistical mechanics to fluid dynamics problem such as, wetting, Brownian motion of a colloid and particle transport in nanofluidic devices. Finally, we will provide an introduction to Molecular Dynamics simulations for the different applications mentioned.
Intended learning outcomes
After completing this course the student should manage to:
- describe the classical statistical mechanics framework and its connection with thermodynamics
- derive and apply the equipartition theorem
- discuss the ideal gas in the framework of classical statistical mechanics
- describe the Brownian motion of a colloid
- discuss application of statistical mechanics to micro and nanofluidics (e.g. electrohydrodynamics, transport in narrow pores, wetting)
Literature and preparations
Specific prerequisites
The course assumes that the students have an undergraduate knowledge of Thermodynamics and Newtonian mechanics.
Recommended prerequisites
The course assumes that the students have an undergraduate knowledge of Thermodynamics and Newtonian mechanics.
Equipment
Literature
--Huang, Kerson. "Statistical Mechanics, 2nd." Edition (New York: John Wiley & Sons) (1987).
Cap 1, 6, 7.1,7.2
--San Miguel, Maxi, and Raul Toral. "Stochastic effects in physical systems." Instabilities and nonequilibrium structures VI5 (2000): 35-127. Cap 1, 2.1
--Your own lecture notes and other distributed course material
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
Examination
- PRO1 - Project, 2.0 credits, grading scale: P, F
- TEN1 - Examination, 3.0 credits, grading scale: P, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Other requirements for final grade
Project work with final presentation in groups of 2. Oral exam.
PRO1 - Project, 2. Grade scale: P, F
TEN1 - Examination, 3, grade scale: P, F
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.