dorsal/arxiv
View SchemaFront propagation into unstable and metastable states in Smectic C* liquid crystals: linear and nonlinear marginal stability analysis
| Authors | Wim van Saarloos, Martin van Hecke, Robert Holyst |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9411001 |
| URL | https://arxiv.org/abs/patt-sol/9411001 |
| DOI | 10.1103/PhysRevE.52.1773 |
Abstract
We discuss the front propagation in ferroelectric chiral smectics (SmC*) subjected to electric and magnetic fields applied parallel to smectic layers. The reversal of the electric field induces the motion of domain walls or fronts that propagate into either an unstable or a metastable state. In both regimes, the front velocity is calculated exactly. Depending on the field, the speed of a front propagating into the unstable state is given either by the so-called linear marginal stability velocity or by the nonlinear marginal stability expression. The cross-over between these two regimes can be tuned by a magnetic field. The influence of initial conditions on the velocity selection problem can also be studied in such experiments. SmC$^*$ therefore offers a unique opportunity to study different aspects of front propagation in an experimental system.
{
"annotation_id": "9d36d78a-718b-4531-83c6-c43e54b7e2bf",
"date_created": "2026-03-02T18:00:28.837000Z",
"date_modified": "2026-03-02T18:00:28.837000Z",
"file_hash": "22c165c7aa776183e7e78803ec3f45834ee045b06740b6b895e5dc319ea4f79d",
"private": false,
"record": {
"abstract": "We discuss the front propagation in ferroelectric chiral smectics (SmC*)\nsubjected to electric and magnetic fields applied parallel to smectic layers.\nThe reversal of the electric field induces the motion of domain walls or fronts\nthat propagate into either an unstable or a metastable state. In both regimes,\nthe front velocity is calculated exactly. Depending on the field, the speed of\na front propagating into the unstable state is given either by the so-called\nlinear marginal stability velocity or by the nonlinear marginal stability\nexpression. The cross-over between these two regimes can be tuned by a magnetic\nfield. The influence of initial conditions on the velocity selection problem\ncan also be studied in such experiments. SmC$^*$ therefore offers a unique\nopportunity to study different aspects of front propagation in an experimental\nsystem.",
"arxiv_id": "patt-sol/9411001",
"authors": [
"Wim van Saarloos",
"Martin van Hecke",
"Robert Holyst"
],
"categories": [
"patt-sol",
"cond-mat",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.52.1773",
"title": "Front propagation into unstable and metastable states in Smectic C* liquid crystals: linear and nonlinear marginal stability analysis",
"url": "https://arxiv.org/abs/patt-sol/9411001"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "439c2b8d-28d8-4979-b5ac-c56b78853f03",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}