Wang Hongli, Ouyang Qi
Department of Physics, Peking University, Beijing 100871, China.
Phys Rev Lett. 2007 Nov 23;99(21):214102. doi: 10.1103/PhysRevLett.99.214102. Epub 2007 Nov 20.
The statistical properties of self-replicating spots in the reaction-diffusion Gray-Scott model are analyzed. In the chaotic regime of the system, the spots that dominate the spatiotemporal chaos grow and divide in two or decay into the background randomly and continuously. The rates at which the spots are created and decay are observed to be linearly dependent on the number of spots in the system. We derive a probabilistic description of the spot dynamics based on the statistical independence of spots and thus propose a characterization of the spatiotemporal chaos dominated by replicating spots.
