Kristian Stølevik Olsen

Doctoral Research Fellow - Porous Media Laboratory SFF
Image of Kristian Stølevik Olsen
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Room V415
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Visiting address Sem Sælands vei 24 None 0316 OSLO
Postal address Postboks 1048, Blindern 0316 OSLO
Other affiliations Faculty of Mathematics and Natural Sciences (Student)

Academic interests and research

My research interests belong to the field of mathematical and theoretical physics. In particular, I study non-equilibrium statistical physics of complex states of flowing matter. For example, in anomalous diffusion processes in complex geometries, the scaling exponents of dynamical variables depend on certain relevant geometric and topological quantities.  We have studied such exponents for frictional finger trees, which are space-filling trees emerging from flow instabilities in particle-fluid systems that seem to lie in the same geometric universality class as minimal spanning trees.
 

We are also studying the statistical physics of (lattice) Boltzmann theory for systems with more than one phase or component. Boltzmann theory arises from the Liouville theorem in a many-particle phase space with 2-body interactions by integrating out irrelevant information.  Certain assumptions regarding the correlation of particles before and after 2-body interactions results in the Boltzmann equation. This describes the irreversible time evolution of the phase space distribution of quasi-particles at the mesoscopic scale.  By performing averages one can get continuous macroscopic quantities that satisfy various differential equations like the diffusion, Navier-Stokes or Cahn-Hilliard equation. We want to study stochastic generalizations of such theories. 

 

Sketch of phase separation taking place in lattice Boltzmann theory. Mesoscopic quasi-particles follow simple scattering rules on a lattice with sufficiently large point symmetry group.

 

Further interests include renormalization group methods, extreme value statistics, the connection between quantum field theory and statistical physics and topological quantum phases.

Background

I got my B.Sc degree in physics and M.Sc degree in theoretical physics from the University of Oslo. During my masters I worked on the renormalization group flow for the quantum Hall effect and the modular symmetries that accompanies it. I also studied the modular symmetries from a geometric perspective, using moduli spaces of complex elliptic curves equipped with a spin structure. My thesis can be found here.

 

 

Publications

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Published Feb. 14, 2018 11:32 AM - Last modified Jan. 21, 2019 12:43 AM