Outputs (4)

Threaded Rings that Swim in Excitable Media (2019)
Journal Article
Cincotti, A., Maucher, F., Evans, D., Chapin, B. M., Horner, K., Bromley, E., …Sutcliffe, P. (2019). Threaded Rings that Swim in Excitable Media. Physical Review Letters, 123(25), Article 258102. https://doi.org/10.1103/physrevlett.123.258102

Cardiac tissue and the Belousov-Zhabotinsky reaction provide two notable examples of excitable media that support scroll waves, in which a filament core is the source of spiral waves of excitation. Here we consider a novel topological configuration i... Read More about Threaded Rings that Swim in Excitable Media.

Rings on strings in excitable media (2018)
Journal Article
Maucher, F., & Sutcliffe, P. (2018). Rings on strings in excitable media. Journal of Physics A: Mathematical and Theoretical, 51(5), Article 055102. https://doi.org/10.1088/1751-8121/aaa1ba

We study the dynamics and interaction of coaxial vortex rings in the FitzHugh–Nagumo excitable medium. We find that threading vortex rings with a vortex string results in significant qualitative differences in their evolution and interaction. In part... Read More about Rings on strings in excitable media.

Length of excitable knots (2017)
Journal Article
Maucher, F., & Sutcliffe, P. (2017). Length of excitable knots. Physical Review E, 96(1), Article 012218. https://doi.org/10.1103/physreve.96.012218

In this paper, we present extensive numerical simulations of an excitable medium to study the long-term dynamics of knotted vortex strings for all torus knots up to crossing number 11. We demonstrate that FitzHugh-Nagumo evolution preserves the knot... Read More about Length of excitable knots.

Untangling knots via reaction-diffusion dynamics of vortex strings (2016)
Journal Article
Maucher, F., & Sutcliffe, P. (2016). Untangling knots via reaction-diffusion dynamics of vortex strings. Physical Review Letters, 116(17), Article 178101. https://doi.org/10.1103/physrevlett.116.178101

We introduce and illustrate a new approach to the unknotting problem via the dynamics of vortex strings in a nonlinear partial differential equation of reaction-diffusion type. To untangle a given knot, a Biot-Savart construction is used to initializ... Read More about Untangling knots via reaction-diffusion dynamics of vortex strings.