4 papers
Stochastically bistable growth and decay in the Togashi-Kaneko model
Jeremy R. Worsfold, Richard G. Morris
The two-state Togashi-Kaneko model demonstrates how, at finite system sizes, autocatalysis can lead to noise-induced bistability between the cellular concentrations of different mo…
Stay in your lane: Density fluctuations in multi-lane traffic
Jeremy Worsfold, Tim Rogers
When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. Changing lane can be forced due to lane drops or junctions, but may also take place…
Binary synchronization of noise-coupled oscillators
Jeremy Worsfold, Tim Rogers
After decades of study, there are only two known mechanisms to induce global synchronization in a population of oscillators: deterministic coupling and common forcing. The inclusio…
Density Fluctuations in Stochastic Kinematic Flows
Jeremy Worsfold, Tim Rogers, Paul Milewski
At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle dens…