172 citations · 1.2k across the 63 of their papers we have counts for
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Collisional Aggregation due to Turbulence
Alain Pumir, Michael Wilkinson
Collisions between particles suspended in a fluid play an important role in many physical processes. As an example, collisions of microscopic water droplets in clouds are a necessa…
Large deviations and rain showers
Michael Wilkinson
Rainfall from ice-free cumulus clouds requires collisions of large numbers of microscopic droplets to create every raindrop. The onset of rain showers can be surprisingly rapid, mu…
Stochastic Cascade Amplification of Fluctuations
Michael Wilkinson, Robin Guichardaz, Marc Pradas +1
We consider a dynamical system which has a stable attractor and which is perturbed by an additive noise. Under some quite typical conditions, the fluctuations from the attractor ar…
Analysis of the Correlation Dimension for Inertial Particles
Kristian Gustavsson, Bernhard Mehlig, Michael Wilkinson
We obtain an implicit equation for the correlation dimension which describes clustering of inertial particles in a complex flow onto a fractal measure. Our general equation involve…