172 citations · 1.2k across the 63 of their papers we have counts for
6 papers · 1 filter
Shock fragmentation model for gravitational collapse
M. Wilkinson, B. Mehlig, M. A. Morgan
A cloud of gas collapsing under gravity will fragment. We present a new theory for this process, in which layers shocked gas fragment due to their gravitational instability. Our mo…
Fingerprints of Random Flows?
Michael Wilkinson, Vlad Bezuglyy, Bernhard Mehlig
We consider the patterns formed by small rod-like objects advected by a random flow in two dimensions. An exact solution indicates that their direction field is non-singular. Howev…
Variable-range Projection Model for Turbulence-driven Collisions
K. Gustavsson, B. Mehlig, M. Wilkinson +1
We discuss the probability distribution of relative speed of inertial particles suspended in a highly turbulent gas when the Stokes numbers, a dimensionless measure of their i…
Planet Formation by Concurrent Collapse
Michael Wilkinson, Bernhard Mehlig
After reviewing the difficulties faced by the conventional theory of planet formation (based upon the aggregation of microscopic dust particles), we describe an alternative hypothe…
Mutually Unbiased Bases for Continuous Variables
Stefan Weigert, Michael Wilkinson
The concept of mutually unbiased bases is studied for N pairs of continuous variables. To find mutually unbiased bases reduces, for specific states related to the Heisenberg-Weyl g…
Collisions of particles advected in random flows
K. Gustavsson, B. Mehlig, M. Wilkinson
We consider collisions of particles advected in a fluid. As already pointed out by Smoluchowski [Z. f. physik. Chemie XCII, 129-168, (1917)], macroscopic motion of the fluid can si…