|
| Udgave: |
Efterår 2012 NAT |
| Point: |
7,5 |
| Blokstruktur: |
1. blok |
| Skemagruppe: |
A |
| Fagområde: |
fys |
| Institutter: |
Niels Bohr Institutet |
| Uddannelsesdel: |
Kandidat niveau |
| Kontaktpersoner: |
Mogens Høgh Jensen, telefon: 35 32 53 71, e-mail: mhjensen@nbi.dk |
| Andre undervisere: |
Ala Trusina
Jan Haerter |
| Skema- oplysninger: |
 Vis skema for kurset
Samlet oversigt over tid og sted for alle kurser inden for Lektionsplan for Det Naturvidenskabelige Fakultet Efterår 2012 NAT |
| Undervisnings- periode: |
3. september til 11. november, 2012 |
| Formål: |
Selected topics in the research areas of the "Complexity Group" at the Niels Bohr Institute, Blegdamsvej. |
| Indhold: |
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. |
| Kompetence- beskrivelse: |
After passed exam the student is able to describe and explain fundamental properties of complex systems in general. In particular the student has aquired basic knowledge on equlibrium and non-equlibrium properties of complex systems. These includes phase transitions and critical phenomena, Monte Carlo simulations, models of turbulence and interfaces, fractals, complex networks, information on networks and their hierarchical structure, excitable media and concepts of econophysics. The student will be able to apply the acquired concepts to other problems of science and relate them to relevant topics of society. |
| Målbeskrivelse: |
The course aims at giving the students the following tools and qualifications:
Understand and describe phase transitions and critical phenomena in particular for the Ising model and its relation to the behavior of various metal compounds.
Critical exponents and the relation between them should be understood.
Be able to write your own Monte Carlo program for the Ising model. In addition identify the phase transitions and the critical exponents from direct numerical simulations.
Get a feeling for the Burgers equations, hereunder conservation law and exact solutions.
Explain the Hopf-Cole transformation.
Explain phenomenological theories and models for turbulence.
Explain two fundamental systems for interface motion, the KPZ equation and the Kuramoto-Shivanshinsky equation. The associated scaling laws and various transformations between different models. The relation to fractals.
Describe network models in terms of links and nodes.
Explain what is the concept of scale free networks.
Understand dynamics of and on complex networks. In particular the flow of information on networks and their hierarchical structure.
Understand the concept of excitable media and where it is applied.
Be ale to analyze Belousov-Zhabotinsky equations and simulate the process.
Understand basic concepts of econophysics.
Grade 12 is given for the independent and convincing achievement, documenting deep knowledge and insight on all aspects of the course goals.
Grade 2 is given for the just acceptable achievement.
|
| Tilmelding: |
Foregår på selvbetjeningen d. 15.maj - 1. juni |
| Faglige forudsætninger: |
Students should preferably have taken the following courses:Dynamical Systems and Chaos and statistical Mechanics. |
| Eksamensform: |
Oral, internal censorship, 7-step-scale. 12-15 questions from a curriculum defined by material (notes, papers, book chapters) handed out by the teachers.
Reexam: same as the ordinary exam. |
| Eksamen: |
Mundtlig prøve den 8. november 2012.
Reeksamen: Mundtlig prøve den 31. januar 2013. |
| Kursus hjemmeside: |
 |
| Kursus hjemmeside: |
Link to the course homepage |
| Bemærkninger: |
The course can be followed by students at 4-5'th year and by PhD students. The course is ideal for students who plan to write their thesis within complex systems and bio-complexity.
Kan være på dansk, hvis ingen udenlandske studerende er tilmeldt. |
| Undervisnings- sprog: |
Engelsk
|
| Sidst redigeret: |
30/4-2012 |