FYS4460 – Disordered Systems and Percolation

Course content

The course provides an introduction to methods and problems in modern statistical physics with emphasis on algorithmic and computational methods. The applications addressed and the computational methods introduced are relevant for material science, complex systems, chemistry, solid-state, molecular-, and bio-physics.

The course aims to build understanding for the macroscopic effects of microscopic interactions using numerical simulations of microscopic models coupled with a concurrent development of a relevant theoretical framework.

The course gives an introduction to the most central numerical methods in molecular dynamics modeling, algorithmic modeling of disordered systems, and to discrete models for fluids, including:

  • Atomic- and molecular dynamics for various ensembles, thermostats, fluctuations, and the coupling to continuum models
  • Random walks, renormalization, scaling, and fractals
  • Percolation: Finite-size scaling, Cluster- and subset geometry, Renormalization
  • Disordered systems: Diffusion, transport, and mechanical properties of disordered systems, Dynamic processes in disordered systems, and Growth processes far from equilibrium
  • Discrete models for fluids: Lattice-gas and lattice-Boltzman models, Dissipative Particle Dynamics, and Smoothed Particle Hydrodynamics

The extent of coverage of the various subjects depends on the choice of projects, and on student interests.

Learning outcome

The student learns a range of central algorithms and methods used in modern statistical physics. The course is project based. Through the projects the student will be exposed to problems from concurrent research. The aim is to be able to reproduce and potentially extend these results. The students learn to develop well-structured codes, to analyze complex systems, and to apply sound scientific principles when studying their own data. Examples and applications will mainly come from material science and the geo-sciences.

Admission to the course

Students admitted at UiO must?apply for courses?in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.

Nordic citizens and applicants residing in the Nordic countries may?apply to take this course as a single course student.

If you are not already enrolled as a student at UiO, please see our information about?admission requirements and procedures for international applicants.

Overlapping courses

Teaching

  • 2 hours of lectures per week
  • 2 hours of colloquia per week

This course has 3 mandatory assignments that must be approved before you can take the final oral exam.

Examination

  • Final oral exam which counts 100 % towards the final?grade.

This course has mandatory exercises that must be approved before you can take the final?exam.

It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: FYS9460 – Disordered Systems and Percolation

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F?is a fail. Read more about?the grading system.

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a?postponed exam?at the beginning of the next semester.

New examinations?are offered at the beginning of the next semester for students who do not successfully complete the exam during the previous semester.

We do not offer a re-scheduled exam for students who withdraw during the exam.

More about examinations at UiO

You will find further guides and resources at the web page on examinations at UiO.

Last updated from FS (Common Student System) May 9, 2024 4:40:23 PM

Facts about this course

Level
Master
Credits
10
Teaching
Spring

If the course is offered, a minimum of four students is required for ordinary lectures to take place. If less than four students participate, an exam will be given, but one should not expect ordinary teaching.

Examination
Spring
Teaching language
Norwegian (English on request)