Fick's law and Ohm's law are linear relationships of a macroscopic nature involving neutral and charged particles out of equilibrium. Their validity is examined by comparing the equation of motion which these laws represent with the Heisenberg equation of motion. Conditions that reduce the exact...
The equation for Fick’s First Law and the associated variables are: J=−Ddϕdt==−D⋅A⋅ΔCΔx J is the diffusion flux. J measures the moles of substance that will flow through a unit area during a unit time interval.Fick...
Fick's law and Ohm's law are linear relationships of a macroscopic nature involving neutral and charged particles out of equilibrium. Their validity is examined by comparing the equation of motion which these laws represent with the Heisenberg equation of motion. Conditions that reduce the exa...
Fick's law and Ohm's law are linear relationships of a macroscopic nature involving neutral and charged particles out of equilibrium. Their validity is examined by comparing the equation of motion which these laws represent with the Heisenberg equation of motion. Conditions that reduce the exact ...
Fick's first law is compared with the Stefan-Maxwell equation indescribing the compositon of a constant evaporating mixture. The maximum deviation between the two predictions varies with the system: 17% for toluene-ethanol solutions evaporating in air, 8.5% for benzene-methanol solutions in air....
A new analysis is presented where the interdiffusion flux J i of a component i is related to ( n-1 ) independent concentration gradients for an isothermal, n-component diffusion couple with the aid of the continuity equation. This analysis may be considered as a derived statement of Fick's ...
F. Sattin. "Fick's law and Fokker-Planck equation in inhomogeneous environ- ments". In: Physics Letters A 37.22 (2008), pp. 3941-3945. doi: 10.1016/j. physleta.2008.03.014.Sattin F (2008) Fick's law and Fokker-Planck equation in inhomogeneous environments. Phys Lett A 372:3941-3945...
In inhomogeneous environments, the correct expression of the diffusive flux is not always given by the Fick's law Gamma = -D del n. The most general hydrodynamic equation modelling diffusion is indeed the Fokker-Planck equation (FPE). The microscopic dynamics of each specific system may affect ...
F DebbaschJean Pierre Rivet
It is shown that there exists a dominant solution of the Boltzmann equation for an artificial model gas in terms of a relation for the diffusion flux differing from the regular formulation of Fick's first law. Its mathematical structure corresponds to the Cattaneo-formulation based on heuristics ...