Abstract
A theory is developed for coupled transport processes in continuous systems. A thermodynamic flux at a position can be driven by forces at different positions, which is a kind of cross phenomena. This nonlocal phenomenological relation between thermodynamic forces and fluxes removes unsatisfactory features in the customary theory. The equation of fluid motion, for example the Navier-Stokes equation, has been assumed to derive the phenomenological relations, in the customary theory. However, in the present theory, it is a consequence of the theory, and is simply an example of the nonlocal phenomenological relations. This equation of motion shows a coupling between the flow velocity of vectorial property and pressure Sensor due to viscosity. Similarly, on the basis of the nonlocal coupling theory developed here, it is shown that the diffusion may be coupled with the chemical reaction even in isotropic systems such as electrolyte solutions. This kind of coupling is closely related to the active transport in living organisms.
