NFYK18005U Complex Physics
MSc Programme in Physics
MSc Programme in Physics w. minor subject
The topics that will be covered are: Phase transitions, Ising model, critical phenomena, Monte Carlo simulations, Percolation, Networks, interfaces, agent-based models, self organization, scale free phenomena, game theory, econophysics and models of social systems.
The aim is to learn how to rephrase a complex phenomenon into a mathematical equation or computer algorithm. At the conclusion of the course students will be able to implement and analyze simple quantitative models on a computer. Students will learn how to appreciate that the joint dynamics of a many body system often is qualitatively different from the simple sum of its parts.
The student is expected to gain basic knowledge on contemporary research in complex systems. This includes the ability to use fundamental concepts from statistical mechanics, non-linear dynamics, time series analysis, agent based models and self-organizing systems. This includes the concepts of scaling and scale-invariant phenomena, e.g. fractals or scale-free networks.
How to describe and analyze non-linear systems and systems with many components in terms of equations and algorithms.
Write computer models of systems with many interacting parts, including Monte-Carlo simulations, interfaces, networks, and cellular automata.
Implement agent based models to describe self-organized dynamics of structures, for example within network theory and systems that behave similar across a wide range of scales.
The course will provide the students with tools from physics that have application in a range of fields within and beyond physics.
These requirement are however non-mandatory, and with some effort the course can be followed by other students, in particular students with background in mathematics, bio-informatics, economics or computer sciences.
Students from mathematics, bio-informatics, economics and computer science are welcome.
- 7,5 ECTS
- Type of assessment
- Oral examination, 30 minutesOral exam without preparation time
- Without aids
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
Several internal examiners
same as ordinary exam
Criteria for exam assesment
see learning outcome
- Theory exercises