The trajectories of microparticles moving in a fluid or gas may be modelled as mathematical space-time braids. Magnetic colloidal particles show a very complex dynamic behaviour and can be described using diffusion and braid theory.
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Complex atomic surfaces
The objective of the project is to investigate changes in electronic properties of self-assembled surface alloys that are formed by annealing of thin lanthanide overlayers on transition metal substrates. The relevance of the project is towards surface and heterogenous catalysis.
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Diffusion
Newton was concerned with the motion of objects under the influence of forces that change slowly with respect to the time scales and distances relevant to the problem at hand. When these forces start changing on much shorter scales, the Newtonian description breaks down and problem is in the realm of diffusion.
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Econophysics
Physicists have since long been struck by the vague similarity of financial markets where agents interact with interacting gases. Only recently, systematic studies of this similarity has been initiated by the statistical physics community, and interesting results are appearing based on simple algorithmic models.
Fractal and self-affine surfaces
Fractals and their close relative self-affine objects are mathematical concepts that describe many of the intricate but ubiquitous shapes found in Nature. Even though this subject has been intensely studied for more that two decades, there are still plenty of mysteries as how Nature actually produce these shapes.
Rheology of complex fluids
Vortex matter
Superconductors can transport electrical current without energy loss. However, this occurs only if the vortices ? lines of magnetic flux quanta, are pinned and avalanches in the vortex matter are controlled. This is a main challenge for development of viable applications based on superconducting materials.
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