Particles of the same nature diffusing in two distinct energy states

The present text deals with the diffusion process of particles of the same nature split into two distinct sets scattering subjected to the action of two distinct potentials. The main flux follows Fick’s law and the secondary flux which is subsidiary to the main flux follows a new law. The theory is particularly important for analyzing the diffusion of particles that can change energy states. Capital flux and population dynamics are cases where the theory can find important applications.

Keywords
Diffusion; capital flux; discrete models; fourth order equations; anomalous diffusion