Computer Modeling of Complex Systems

The course will give glimpse into the dynamics of complex systems, where the interactions between degrees of freedom at different scales gives rise to qualitatively new, emergent behavior of the system as a whole. Each of the four lecturers will teach a 3-4 week module (see the list below), specific to their expertise while emphasizing common features shared by these systems

Modeling of nano-world:

- electronic structure, charge transport, nanomagnets

Ultracold atoms:

- multichannel quantum scattering, magnetic Feshbach resonances

Pattern formation and nonlinear dynamics:

- growth processes, pattern formation, network dynamics

Modeling molecular motors and filaments with active matter:

- active matter and biology, the structure of the cell: the cytoskeleton, cytoskeletal filaments and molecular motors, active gel theory

Half time of this course is covered by review-like lectures, the other part is a computer lab. The students are asked to prepare a short presentation summarizing one topic from the lectures. They are also required to complete a number of computer based projects in the lab.