Links, knots, and knotted labyrinths in bistable systems

Links, knots, and knotted labyrinths in bistable systems

Publication Type:

Journal Article

Authors:

Malevanets, A.; Kapral, R.

Source:

Physical Review Letters, Volume 77, Number 4, p.767-770 (1996)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0001199931&doi=10.1103%2fPhysRevLett.77.767&partnerID=40&md5=a56d90f16232629da8c6a647dced3b4e

Abstract:

The existence of stable links and knots is demonstrated in three-dimensional, bistable, chemical media. The reaction-diffusion medium segregates into regions of high and low concentration separated by sharp interfaces. The interfaces repel at short distances so that domains with various topologies are possible depending on the initial conditions and system parameters. Front instabilities can give rise to knotted labyrinthine patterns. A lattice-gas model whose mean-field limit is the FitzHugh-Nagumo equation is described and implemented to carry out the simulations. © 1996 The American Physical Society.