SUBJECT
Title
Fractal growth phenomena
Type of instruction
lecture
Level
master
Faculty
Part of degree program
Credits
3
Recommended in
Semester 2
Typically offered in
Spring semester
Course description
Major topics: Fractals in nature, fractal dimension, types of fractals (isotropic, self-ffine and fat), multifractals, cluster models of fractal growth, percolation, random walks, diffusion-limited aggregation: its simulation, theoretical treatment and multifractal features, growth of self-affine surfaces, role of fluctuations, related equation, role of surface tension, continuum description of fractal growth, overview of related experiments
Readings
recommended readings:
- Fractal growth phenomena, Tamas Vicsek, World Scientific, 1992
- Techniques of fractal geometry, Kenneth Falconer, Wiley, 1997