My Master's degree thesis was about the KPZ equation
Here's the abstract:
In this report various aspects of the Kardar-Parisi-Zhang
(KPZ) equation are described. After a brief introduction to the
study of growth phenomena in physics, some of
the numerous applications of this equation are described, and
a review of the experimental situation is given. The concept of
scaling is introduced, and the proof of the equivalence of the
KPZ-equation and the evaporation-adsorption model is reviewed
in detail. The exponents of the equation are calculated and
compared with computer simulations of the model, in full support of
the equivalence. Along the way, the concept of renormalization is
briefly introduced and the Monte Carlo Renormalization Group
described, including a computer-calculation of the critical exponents of
the 2D Ising model.
A postscript version of the thesis (sans two figures, unfortunately)
can be found here
