4 papers
Statistical field theory for a passive vector model with spatially linear advection
Lukas Bentkamp, Michael Wilczek
One challenge in developing a statistical field theory of turbulence is the analysis of the functional equations that govern the complete statistics of the flow field. Simplified m…
Models for active particles: common features and differences
Colin-Marius Koch, Michael Wilczek
Systems of active particles can show a large variety of collective behavior. In theory, two aspects determine the collective behavior: the model at the particle level and the param…
An ensemble of Gaussian fields with multifractal statistics for turbulence
Mark Warnecke, Lukas Bentkamp, Gabriel B. Apolinário +2
Obtaining accurate field statistics continues to be one of the major challenges in turbulence theory and modeling. From the various existing modeling approaches, multifractal model…
Predicting any small-scale statistics of high-Reynolds-number turbulence using ensemble simulations
Lukas Bentkamp, Michael Wilczek
The complex small-scale statistics of turbulence are a result of the combined cascading dynamics through all scales of the flow. Predicting these statistics using fully resolved si…