Notes of interest for the course

Official version of Course description .

A note on math for thermodynamics (from M. Ediger)

Golden Sheet Autumn 2011 version 0.1

Old Exam questions used in the course

Year ECTS Danish English English (translated) Golden Sheet
Jan 1992 9 ECTS Text 429 Prob. 1-2
Jan 1993 9 ECTS Text 429 Full
Jan 1994 9 ECTS Text 429 Prob. 1
Jan 1998 9 ECTS Text 429 Prob. 3
Jan 2000 9 ECTS Text 429 Prob. 2
Jan 2004 9 ECTS Text 429 Full
Jan 2006 9 ECTS pdf Full
Jun 2006 9 ECTS pdf June Prob. 2
Jan 2008 7.5 ECTS pdf Full Autumn 2007, Danish
Jan 2009 7.5 ECTS pdf Full
Jan 2010 7.5 ECTS pdf Full Autumn 2009, Danish
Jan 2011 7.5 ECTS pdf pdf Autumn 2010, English
Jun 2011 7.5 ECTS pdf Prob 1 and 3
Jan 2012 7.5 ECTS pdf pdf Autumn 2011, English
Jun 2012 7.5 ECTS pdf Autumn 2011, English
9 ects course was on the masters level, 7.5 ects is a bachelor course.

Difference between "English" and "Englisk (translated)" is that the former is real English sets from exams given in English, where the later is my (sometimes rather quick) translation.

The collection of old exam questions (from 1976 - 2004) in Danish: Text from IMFUFA 429 contains a few more old problems

In Danish

Et sæt noter skrevet af en studerende på et tidligere Termo-kursus kan findes her

En matlab-note findes her

Videnskabens verden (DR P1 program) har et sjovt inslag om entropi 22 minutter inde i deres podcast fra den 26-07-2011.


Other simulation stuff

This page has lots of fun to play with. Try e.g. this.

Some matlab stuff to play with

Two state paramagnet

Matlab/octave program for calculating U,S,T,M,C for Two state paramagnet (problem 3.17 and 3.18).

Multiplicity of two weekly coupled "Einstein solids"

A matlab/octave program for calculating the multiplicity of two weekly coupled "Einstein solids" (problem 2.9). It can be used as::
Save the program as TwoEinsteinSolids.m
>   data = TwoEinsteinSolids(200,100,100);
>   plot(data(:,1),data(:,6))

Alternatively one can use the function nchoosek which directly calculates the Binomial coefficient for large numbers.

Random Walk for a ensemble of particles

A matlab/octave program for simulating Random Walk for a ensemble of particles.
Example of use::
> x0 = zeros(1000000,1);      % Start a million particles at x=0
> x   = RW(x0,100);                 % Let each particle do 100 random jumps
> [yy,xx] = hist(x,-100:2:100); % Plot a histogram
> plot(xx', yy'/1e6, 'o', xx', sqrt(2/pi/100)*exp(-xx.^2/2/100)) % Plot result and analytical solution

If you want to see how the particles are moving :
> x = cumsum( sign(rand(1000,100)-0.5)); % 100 particles, 1000 steps eachr
> plot(x(:,1:10)) % Plot 10 first particles.