Reformulating Fick’s Law of Diffusion into a Half-Order Version, with Applications in the Physical Sciences

Diffusion is ubiquitous in nature and underlies many of the processes studied by scientists. Fick’s second law, the partial differential equation that governs diffusion, lends itself to factoring, yielding simpler alternatives that incorporate semioperators. The semioperator approach aids experimentation in several scientific fields that feature diffusion. Illustrative applications to heat transport, chemical analysis, and electric circuitry are briefly reported.