233 research outputs found
Greatly enhancing the modeling accuracy for distributed parameter systems by nonlinear time/space separation
An effective modeling method for nonlinear distributed parameter systems
(DPSs) is critical for both physical system analysis and industrial
engineering. In this Rapid Communication, we propose a novel DPS modeling
approach, in which a high-order nonlinear Volterra series is used to separate
the time/space variables. With almost no additional computational complexity,
the modeling accuracy is improved more than 20 times in average comparing with
the traditional method.Comment: 10 figures, 5 page
Dynamic Scaling of an Adsorption-Diffusion Process on Fractals
A dynamic scaling of a diffusion process involving the Langmuir type
adsorption is studied. We find dynamic scaling functions in one and two
dimensions and compare them with direct numerical simulations, and we further
study the dynamic scaling law on fractal surfaces. The adsorption-diffusion
process obeys the fracton dynamics on the fractal surfaces.Comment: 9 pages, 7 figure
Transition from Knudsen to molecular diffusion in activity of absorbing irregular interfaces
We investigate through molecular dynamics the transition from Knudsen to
molecular diffusion transport towards 2d absorbing interfaces with irregular
geometry. Our results indicate that the length of the active zone decreases
continuously with density from the Knudsen to the molecular diffusion regime.
In the limit where molecular diffusion dominates, we find that this length
approaches a constant value of the order of the system size, in agreement with
theoretical predictions for Laplacian transport in irregular geometries.
Finally, we show that all these features can be qualitatively described in
terms of a simple random-walk model of the diffusion process.Comment: 4 pages, 4 figure
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