dorsal/arxiv
View SchemaBistability of Slow and Fast Traveling Waves in Fluid Mixtures
| Authors | St. Hollinger, P. Buechel, M. Luecke |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9701002 |
| URL | https://arxiv.org/abs/patt-sol/9701002 |
| DOI | 10.1103/PhysRevLett.78.235 |
| Journal | Phys. Rev. Lett., 78, 235-238 (1997) |
Abstract
The appearence of a new type of fast nonlinear traveling wave states in binary fluid convection with increasing Soret effect is elucidated and the parameter range of their bistability with the common slower ones is evaluated numerically. The bifurcation behavior and the significantly different spatiotemporal properties of the different wave states - e.g. frequency, flow structure, and concentration distribution - are determined and related to each other and to a convenient measure of their nonlinearity. This allows to derive a limit for the applicability of small amplitude expansions. Additionally an universal scaling behavior of frequencies and mixing properties is found. PACS: 47.20.-k, 47.10.+g, 47.20.Ky
{
"annotation_id": "e9ece993-8007-4c85-9fd8-e7d57f2c148b",
"date_created": "2026-03-02T18:00:29.432000Z",
"date_modified": "2026-03-02T18:00:29.432000Z",
"file_hash": "d007c2965e44849a756b59b3d85fa9ac57a3b725b2c81e6237423dcd21323ea9",
"private": false,
"record": {
"abstract": "The appearence of a new type of fast nonlinear traveling wave states in\nbinary fluid convection with increasing Soret effect is elucidated and the\nparameter range of their bistability with the common slower ones is evaluated\nnumerically. The bifurcation behavior and the significantly different\nspatiotemporal properties of the different wave states - e.g. frequency, flow\nstructure, and concentration distribution - are determined and related to each\nother and to a convenient measure of their nonlinearity. This allows to derive\na limit for the applicability of small amplitude expansions. Additionally an\nuniversal scaling behavior of frequencies and mixing properties is found.\n PACS: 47.20.-k, 47.10.+g, 47.20.Ky",
"arxiv_id": "patt-sol/9701002",
"authors": [
"St. Hollinger",
"P. Buechel",
"M. Luecke"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.78.235",
"journal_ref": "Phys. Rev. Lett., 78, 235-238 (1997)",
"title": "Bistability of Slow and Fast Traveling Waves in Fluid Mixtures",
"url": "https://arxiv.org/abs/patt-sol/9701002"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "961f31a1-53a9-4a70-8237-ac5fb580c387",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}