172 citations · 289 across the 9 of their papers we have counts for
9 papers
Universal anomalous diffusion of weakly damped particles
Vlad Bezuglyy, Michael Wilkinson, Bernhard Mehlig
We show that anomalous diffusion arises in two different models for the motion of randomly forced and weakly damped particles: one is a generalisation of the Ornstein-Uhlenbeck pro…
Emergent order in rheoscopic swirls
Michael Wilkinson, Vlad Bezuglyy, Bernhard Mehlig
We discuss the reflection of light by a rheoscopic fluid (a suspension of microscopic rod-like crystals) in a steady two-dimensional flow. This is determined by an order parameter…
Poincare Indices of Rheoscopic Visualisations
Vlad Bezuglyy, Bernhard Mehlig, Michael Wilkinson
Suspensions of small anisotropic particles, termed 'rheoscopic fluids', are used for flow visualisation. By illuminating the fluid with light of three different colours, it is poss…
Multiple regimes of diffusion
B. Mehlig, M. Wilkinson, V. Bezuglyy +2
We consider the diffusion of independent particles experiencing random accelerations by a space- and time-dependent force as well as viscous damping. This model can exhibit several…
Generalised Kramers model
Vlad Bezuglyy
We study a particular generalisation of the classical Kramers model describing Brownian particles in the external potential. The generalised model includes the stochastic force whi…
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…