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.
This course is an introductory course in four different areas of classical theoretical physics, analytical mechanics, statistical mechanics, and hydrodynamics.
The course consists of about 9 lectures + 6 exercises. The course will be a reading course, with occational meetings.
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
The Lagrange and Hamilton formalisms, periodic motion, Euler-Lagranges equations, variational calculus, Chirikov's criterion and Poincare plots.
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.
The continuity equation, viscosity and Navier-Stokes equations. Different boundary conditions and solutions in simple geometries. Laminar and turbulent flow. Reynolds number.
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.