منابع مشابه
Nonlocal dynamics of spontaneous imbibition fronts.
We have studied spontaneous imbibition fronts generated by capillary rise between two roughened glass plates, the separation d of which varied between 10 and 50 microm. Perfect agreement with Washburn's law was obtained. We have determined the roughness exponent chi of the fronts, and found chi=0.81+/-0.01 for small length scales. Above a certain crossover length xi, it reached chi=0.58+/-0.04,...
متن کاملDepinning and dynamics of imbibition fronts in paper under increasing ambient humidity.
We study the effects of ambient air humidity on the dynamics of imbibition in a paper. We observed that a quick increase of ambient air humidity leads to depinning and non-Washburn motion of wetting fronts. Specifically, we found that after depinning the wetting front moves with decreasing velocity v[proportionality](h(p)/h(D))(γ), where h(D) is the front elevation with respect to its pinned po...
متن کاملDispersion curves in the diffusional instability of reaction fronts
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متن کاملDispersion curves in the diffusional instability of autocatalytic reaction fronts.
A (linear) stability analysis of planar reaction fronts to transverse perturbations is considered for systems based on cubic autocatalysis and a model for the chlorite-tetrathionate reaction. Dispersion curves (plots of the growth rate sigma against a transverse wave-number k) are obtained. In both cases it is seen that there is a nonzero value D0 of D (the ratio of the diffusion coefficients o...
متن کاملPulsating fronts for nonlocal dispersion and KPP nonlinearity
In this paper we are interested in propagation phenomena for nonlocal reaction-diffusion equations of the type: ∂u ∂t = J ∗ u− u+ f(x, u) t ∈ R, x ∈ R , where J is a probability density and f is a KPP nonlinearity periodic in the xvariables. Under suitable assumptions we establish the existence of pulsating fronts describing the invasion of the 0 state by an heterogeneous state. We also give a ...
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ژورنال
عنوان ژورنال: Europhysics Letters (EPL)
سال: 2003
ISSN: 0295-5075,1286-4854
DOI: 10.1209/epl/i2003-00380-5