# SI2361 Advanced Mechanics 6p

### Avancerad mekanik

# Course PM – Spring 2014

# Under construction! All information is preliminary at the moment.

**Please note that participants in this course are required to take an
active part in the tutorials. This means that you should work out the problems
on the problem sheets, found below, in preparation for
each tutorial. If you are unable to attend some tutorials you should instead
hand in your solutions. **

## General info

This course is an introductory course in four different areas of classical
theoretical physics, analytical mechanics, statistical mechanics, and
hydrodynamics.

### Course start: Tuesday March 25, 2014 at 13.00 outside Room A4:1069, AlbaNova

The course consists of about 9 lectures + 6 exercises.
**The course will be a reading course, with occational meetings.**

Schedule

Course responsible: Jack Lidmar (tel: 08-5537 8715) Theoretical physics, KTH.

Lectures during the first part of the course: Edwin Langmann

Examination: **Friday 25 May, 9.00-14.00 in A4:1069**

## Objectives:

After finished course the students should be able to apply the formalism
presented in different areas of applied physics.

## Course contents:

### Analytical mechanics

The Lagrange and Hamilton formalisms, periodic motion, Euler-Lagranges
equations, variational calculus, Chirikov's criterion and Poincare plots.

### Statistical mechanics

Microcanonical and canonical ensembles. Hamilton’s equations and
Liouville’s theorem. The relation between statistical mechanics and
thermodynamics. The ideal gas, the Maxwell- Boltzmann distribution and the
entropy concept.

### Fluid mechanics

The continuity equation, viscosity and Navier-Stokes equations. Different
boundary conditions and solutions in simple geometries. Laminar and turbulent
flow. Reynolds number.

## Litterature

- Analytical mechanics:
- We will use these
online lecturer notes. Download and print the PDF file.

Reading instruction:

Chapter 1. Newton's Laws of Motion. Read. Should be known.

Chapter 2. The Lagrangian Formalism. Read 2.1-2.3, 2.5.

Chapter 3. The Motion of Rigid Bodies. Skip all.

Chapter 4. The Hamiltonian Formalism. Read 4.1-4.5.
- Statistical mechanics:
*Thermodynamics and statistical mechanics*, Greiner, Neise,
Stöcker, Springer 1995.

pages 123-181,191-200.

and handouts.
- Hydrodynamics:
*Physics of continous matter*, Lautrup, Institute of Physics
Publishing, 2005.

pages 187-266 (chapter 15-18)

and handouts.

## Examination

There will be a written exam at the end of the course, **Friday 24
May, 9.00-14.00 in A4:1069**.

At the exam you are allowed to use this formula
collection, handed out with the exam.

In addition you will have to **prepare** problem solutions and
participate in the tutorials.

Jack Lidmar `<jlidmar@kth.se>`
2014-03-20