INVESTIGADORES
PONCE DAWSON Silvina Martha
artículos
Título:
Slow time evolution of two time-scale reaction-diffusion systems: the physical origin of non-diffusive transport
Autor/es:
DAMIAN E. STRIER; ARIEL CHERNOMORETZ; SILVINA PONCE DAWSON
Revista:
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Referencias:
Año: 2002 vol. 65 p. 462331 - 4623314
ISSN:
1063-651X
Resumen:
We study, from a mesoscopic point of view, the slow time-scale dynamics
of a mixture of chemicals in which there is a chemical reaction that
occurs much faster than all other processes, including diffusion. For a
simple paradigmatic model reaction, it is possible to find a reduced
set of dynamical equations analytically. This procedure, which yields
the same mean field equations as the macroscopic approach described by
Strier and Dawson [J. Chem. Phys, 112, 825
(2000)], clarifies the physical origin of some of the terms that appear
in the reduced reaction-diffusion equations, such as negative density
dependent cross diffusion terms, whose actual meaning is hard to
assess within the macroscopic framework. We also present a
two-time-scale reactive lattice gas automaton with which it is possible
to check the validity of the analytical results and the conditions
under which the reduced description holds. Using this lattice gas we
also show how the differential interaction with immobile species can
give rise to the formation of stable Turing patterns in a system where
all the other chemicals diffuse approximately at the same rate.