dorsal/arxiv
View SchemaPerturbation Theory for Traveling Droplets
| Authors | L. M. Pismen |
|---|---|
| Categories | |
| ArXiv ID | physics/0604202 |
| URL | https://arxiv.org/abs/physics/0604202 |
| DOI | 10.1103/PhysRevE.74.041605 |
Abstract
Motion of chemically driven droplets is analyzed by applying a solvability condition of perturbed hydrodynamic equations affected by the adsorbate concentration. Conditions for traveling bifurcation analogous to a similar transition in activator-inhibitor systems are obtained. It is shown that interaction of droplets leads to either scattering of mobile droplets or formation of regular patterns, respectively, at low or high adsorbate diffusivity. The same method is applied to droplets running on growing terrace edges during surface freezing.
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"abstract": "Motion of chemically driven droplets is analyzed by applying a solvability\ncondition of perturbed hydrodynamic equations affected by the adsorbate\nconcentration. Conditions for traveling bifurcation analogous to a similar\ntransition in activator-inhibitor systems are obtained. It is shown that\ninteraction of droplets leads to either scattering of mobile droplets or\nformation of regular patterns, respectively, at low or high adsorbate\ndiffusivity. The same method is applied to droplets running on growing terrace\nedges during surface freezing.",
"arxiv_id": "physics/0604202",
"authors": [
"L. M. Pismen"
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"doi": "10.1103/PhysRevE.74.041605",
"title": "Perturbation Theory for Traveling Droplets",
"url": "https://arxiv.org/abs/physics/0604202"
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