7 papers
Edge Contact Lubrication
Andrew Wilkinson, Michael A. Morgan, Michael Wilkinson
In this paper we discuss the dynamics of a lubricating film separating two flat surfaces. It may be possible for the gap between the surfaces to reduce to zero at one point on the…
Instability in Ostwald ripening processes
Michael Wilkinson
There is a dimensionless parameter which enters into the equation for the evolution of supersaturation in Ostwald ripening processes. This parameter is typically a large number. He…
Oscillatory instability in an Ostwald ripening process
Michael Wilkinson
This paper considers an Ostwald ripening process in which new droplets are injected at a constant rate, with a fixed distribution of radii, and in which droplets are removed when t…
Hyperbolic free-surface jets
Andrew Wilkinson, Michael A. Morgan, Michael Wilkinson
If a body of inviscid fluid is disturbed, it will typically eject a jet of fluid. If the effects of gravity and surface tension are negligible, these jets travel in straight lines,…
Dynamics of pivoted slider bearings
Andrew Wilkinson, Marc Pradas, Michael Wilkinson
We obtain the full equations of motion for a wide, pivoted, slider bearing. These are used to review the choice of the optimal position for the pivot point, to discuss its response…
Scale dependence of distributions of hotspots
Michael Wilkinson, Boris Veytsman
We consider a random field in dimensions which is largely concentrated around small `hotspots', with `weights', . These weights may have a very broad distr…
Flux-conserving directed percolation
Barto Cucurull, Greg Huber, Kyle Kawagoe +3
We discuss a model for directed percolation in which the flux of material along each bond is a dynamical variable. The model includes a physically significant limiting case where t…