Michael Wilkinson

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cond-mat.stat-mech2025

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…

cond-mat.stat-mech2025

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…

cond-mat.stat-mech2023

Scale dependence of distributions of hotspots

Michael Wilkinson, Boris Veytsman

We consider a random field $ϕ (r)$ in $d$ dimensions which is largely concentrated around small `hotspots', with `weights', $w_{i}$ . These weights may have a very broad distr…