Generalized hydrodynamics of reaction-diffusion systems and dissipative structures.
Generalized hydrodynamics (GH) are derived and used to describe a reaction-diffusion system. The derived GH equations are hyperbolic and are shown to be more general and more suitable than the conventional parabolic reaction-diffusion equations, especially in small geometries. These equations are applied to the study of dissipative structures in glycolysis and are solved numerically using the finite-element method. The solution exhibits a multitude of wave and Turing patterns. The time evolution of the calortropy production for the obtained pattern seems to correlate with the increasing complexity of the system.
Al-Ghoul
Mazen
M
American University of Beirut, PO Box 11-0236, Chemistry Department, Riad El-Solh, Beirut 1107 2020, Lebanon. mg05@aub.edu.lb