Multidimensional reaction rate theory with anisotropic diffusion

Stereo Algorithm with Anisotropic Reaction-Diffusion Systems

The computer vision research aims at a better understanding of the human visual system and building artificial visual systems. Vision researchers in psychology and physiology have explored biological visual systems including the human vision, and obtained much knowledge on nature and architecture of their visual information processing. For example, some of previous results in experimental psych...

Large scale reaction front dynamics in anisotropic reaction-diffusion systems

Chemical reaction rate and diffusion rate

Chemical reaction rate and diffusion rate were defined. The concomitant advances in theory, measuring systems and computer simulation bring the new perspectives to the chemical reaction with diffusion studying. The obtained results shows effect the chemical reaction rate and diffusion. The obtained results demonstrate characterization of the dynamic and steady state conditions of the chemical s...

Reaction-diffusion with a time-dependent reaction rate: the single-species diffusion-annihilation process

We study the single-species diffusion-annihilation process with a time-dependent reaction rate, λ(t) = λ0 t−ω . Scaling arguments show that there is a critical value of the decay exponent ωc(d) separating a reaction-limited regime for ω > ωc from a diffusion-limited regime for ω < ωc. The particle density displays a mean-field, ω-dependent, decay when the process is reaction-limited whereas it ...

Directionality of stripes formed by anisotropic reaction-diffusion models.

Turing mechanism explains the formation of striped patterns in a uniform field in which two substances interact locally and diffuse randomly. In a twin paper, to explain the directionality of stripes on fish skin in closely related species, we studied the effect of anisotropic diffusion of the two substances on the direction of stripes, in the cases in which both substances have high diffusivit...