# FSG3136 Statistical mechanics for engineers 5.0 credits

### Offering and execution

Course offering missing for current semester as well as for previous and coming semesters

## Course information

### 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)

#### Course Disposition

No information inserted

### 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

No information inserted

#### 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

P, F

#### 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

No information inserted

#### Opportunity to raise an approved grade via renewed examination

No information inserted

### Further information

#### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web FSG3136

SCI/Mechanics

#### Main field of study *

No information inserted

#### Education cycle *

Third cycle

No information inserted

#### Contact

Outi Tammisola (outi@mech.kth.se)

#### 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.