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- Discontinuous system + (In a '''discontinuous system''', gradients โฆ In a '''discontinuous system''', gradients in [[continuous system]]s across the length, ''l'', of the diffusion path [m], are replaced by differences across compartmental boundaries of zero thickness, and the local concentration is replaced by the free activity, ''ฮฑ'' [molยทdm<sup>-3</sup>]. The length of the diffusion path may not be constant along all diffusion pathways, spacial direction varies (''e.g.'', in a spherical particle surrounded by a semipermeable membrane), and information on the diffusion paths may even be not known in a discontinuous system. In this case (''e.g.'', in most treatments of the [[protonmotive force]]) the diffusion path is moved from the (ergodynamic) isomorphic [[force]] term to the (kinetic) [[mobility]] term. The synonym of a discontinuous system is '''compartmental''' or discretized system. In the first part of the definition of discontinuous systems, three compartments are considered: (1) the source compartment A, (2) the sink compartment B, and (3) the internal barrier compartment with thickness ''l''. In a two-compartmental description, a system boundary is defined of zero thickness, such that the barrier comparment (''e.g.'', a semipermeable membrane) is either part of the system (internal) or part of the environment (external). Similarly, the intermediary steps in a chemical reaction may be explicitely considered in an ergodnamic multi-comparment system; alternatively, the kinetic analysis of all intermediary steps may be collectively considered in the catalytic reaction ''mobility'', reducing the measurement to a two-compartmental analysis of the substrate and product compartments.al analysis of the substrate and product compartments.)
