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.
American University of Beirut, PO Box 11-0236, Chemistry Department, Riad El-Solh, Beirut 1107 2020, Lebanon. mg05@aub.edu.lb
Mazen
M
Al-Ghoul