NFYK15018U Topics in complex systems
M.Sc. Physics. Students from mathematics, economics and computer science are also welcome.
The topics that will be covered are: Phase transitions, critical phenomena, Monte Carlo simulations, Burgers equation, Models for turbulence information flow and entropy of networks, non-equlibrium statistical mechanics, interfaces, excitable media, agent-beased models in econophysics etc.
At the conclusion of the course students will be able to implement simple quantitative models on a computer. The aim is to learn how to rephrase a complex phenomena into a mathematical equation or computer algorithm. Further the student is expected to gain basic knowledge on contemporary research in complex systems. This include ability to use fundamental concepts from statistical mechanics, non-linear dynamics, time series analysis and self organizing systems.
- Describe and analyse non-linear systems in terms equations and algorithms.
- Write computer models of systems with many interacting parts, including Monte-Carlo simulations.
- Implement agents based models of agent based behaviour, including self-organization of structures as in for example networks.
This course will provide the students with a competent
background for further studies within complex system and
biophysics, e.g. an M.Sc. project.
The course will provide the students with tools that have application in a range of fields within and beyond physics.
as well as by having some knowledge of statistical mechanics.
With some effort the course can also be followed by students from mathematics, economics and computer siences.
Restricted elective for specialisation "Bio- and Medical Physics".
The course will be given every year.
Lectures will also be given by Jan Haerter.
Link to course home page: http://www.complex.nbi.dk/courses/
- 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
- Theory exercises