Discrete time model for chemical or biological decay in chaotic flows: reentrance phase transitions.
We consider a discrete time model of advection, reaction, and diffusion on a lattice to investigate the steady-state spatial structure of chemically decaying substances. The time discretization of the dynamics has a considerable impact on these structures. Additional smooth-filamental phase transitions, nonexistent in the continuous-time description, appear. We show how these structures and their scaling properties depend on the time step of the discrete dynamics. Exploiting the analogies of this discrete model with the logistic map, some general features are discussed.
Benczik
Izabella Júlia
IJ
Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany.