dorsal/arxiv
View SchemaConvective Patterns in Binary Fluid Mixtures with Positive Separation Ratios
| Authors | B. Huke, M. Luecke |
|---|---|
| Categories | |
| ArXiv ID | physics/0608280 |
| URL | https://arxiv.org/abs/physics/0608280 |
| Journal | Lecture Notes in Physics 584, Thermal nonequilibrium phenomena in fluid mixtures, ed. W. Koehler and S. Wiegand, p 334 - 354 (Springer, Berlin, 2002) |
Abstract
We summarize our findings about laterally periodic convection structures in binary mixtures in the Rayleigh-Benard system for positive Soret effect. Stationary roll, square, and crossroll solutions and their stability are determined with a multimode Galerkin expansion. The oscillatory competition of squares and rolls in the form of crossroll oscillations is reviewed. They undergo a subharmonic bifurcation cascade where the oscillation period grows in integer steps as a consequence of an entrainment process.
{
"annotation_id": "af62ae02-326f-4aa7-8b77-1b6ade526ef5",
"date_created": "2026-03-02T18:01:11.234000Z",
"date_modified": "2026-03-02T18:01:11.234000Z",
"file_hash": "0f81cb246dfe8662c3b9338575c1e6c4f47f9f7e1700afd5398f7773ba0eb347",
"private": false,
"record": {
"abstract": "We summarize our findings about laterally periodic convection structures in\nbinary mixtures in the Rayleigh-Benard system for positive Soret effect.\nStationary roll, square, and crossroll solutions and their stability are\ndetermined with a multimode Galerkin expansion. The oscillatory competition of\nsquares and rolls in the form of crossroll oscillations is reviewed. They\nundergo a subharmonic bifurcation cascade where the oscillation period grows in\ninteger steps as a consequence of an entrainment process.",
"arxiv_id": "physics/0608280",
"authors": [
"B. Huke",
"M. Luecke"
],
"categories": [
"physics.flu-dyn"
],
"journal_ref": "Lecture Notes in Physics 584, Thermal nonequilibrium phenomena in\n fluid mixtures, ed. W. Koehler and S. Wiegand, p 334 - 354 (Springer, Berlin,\n 2002)",
"title": "Convective Patterns in Binary Fluid Mixtures with Positive Separation Ratios",
"url": "https://arxiv.org/abs/physics/0608280"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1b1b6848-b626-4aef-a958-c38a73aa8c35",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}