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The persistence of competitive systems of two or three populations can be increased under appropriate diffusion conditions [5].
In order to derive an appropriate diffusion approximation, we will have to reconsider the transition rates of the Markov chain (8).
However, the dispersion behavior is consistent with that reported for gases and liquids when the observed dispersion coefficients are scaled by the appropriate diffusion coefficients.
The method is based upon an approximation of the energy envelope of the oscillator response as a one-dimensional Markov process, governed by an appropriate diffusion equation.
Finally, we note that exactly the same moment equations hold for the variants of the linear noise and Langevin approximation using a Q-Wiener process and an appropriate diffusion coefficient, cf. Remark 2.4.
Theoretical breakthrough curves for saturation and regeneration of a molecular sieve adsorption column are calculated from the solution of the appropriate diffusion equation for the case of micropore diffusion control.
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While it is possible to calculate the magnetization dynamics with an appropriate diffusion-based model [16], [21], the other contributions will likely require additional information.
These processes behave as an appropriate fractal diffusion within each fractal component of the field.
However, we also demonstrate that, for a certain class of problems, the piecewise-linear approximation yields an appropriate discretized diffusion equation under all three scalings.
The scanning electron microscopy (SEM) and surface area measurement results proved that the crystallization situation was more complicated on the interface of PC and Ag-Mt interlayer, resulted in different phase separation rate, provided more opportunity for the formation of pores with appropriate size diffusion, and finally fabricated a micro nano-scaled surface with superhydrophobicity.
More specific formulation aspects include optimal retention time, appropriate drug diffusion, and targeted drug delivery.
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