Domain walls in wave patterns

Igor Aranson, Lev Tsimring

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

We study the interaction of counterpropagating traveling waves in 2D nonequilibrium media described by the complex Swift-Hohenberg equation (CSHE). Direct numerical integration of CSHE reveals novel features of domain walls separating wave systems: wave-vector selection and transverse instability. Analytical treatment is based on a study of coupled complex Ginzburg-Landau equations for counterpropagating waves. At the threshold we find the stationary (yet unstable) solution corresponding to the selected waves. It is shown that sources of traveling waves exhibit long wavelength instability, whereas sinks remain stable. An analogy with the Kelvin-Helmholtz instability is established.

Original languageEnglish (US)
Pages (from-to)3273-3276
Number of pages4
JournalPhysical Review Letters
Volume75
Issue number18
DOIs
StatePublished - Jan 1 1995

Fingerprint

domain wall
traveling waves
Kelvin-Helmholtz instability
Landau-Ginzburg equations
sinks
numerical integration
thresholds
wavelengths
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Aranson, Igor ; Tsimring, Lev. / Domain walls in wave patterns. In: Physical Review Letters. 1995 ; Vol. 75, No. 18. pp. 3273-3276.
@article{0bc647f0eb7f4b5781f8a4c54e0872a5,
title = "Domain walls in wave patterns",
abstract = "We study the interaction of counterpropagating traveling waves in 2D nonequilibrium media described by the complex Swift-Hohenberg equation (CSHE). Direct numerical integration of CSHE reveals novel features of domain walls separating wave systems: wave-vector selection and transverse instability. Analytical treatment is based on a study of coupled complex Ginzburg-Landau equations for counterpropagating waves. At the threshold we find the stationary (yet unstable) solution corresponding to the selected waves. It is shown that sources of traveling waves exhibit long wavelength instability, whereas sinks remain stable. An analogy with the Kelvin-Helmholtz instability is established.",
author = "Igor Aranson and Lev Tsimring",
year = "1995",
month = "1",
day = "1",
doi = "10.1103/PhysRevLett.75.3273",
language = "English (US)",
volume = "75",
pages = "3273--3276",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "18",

}

Domain walls in wave patterns. / Aranson, Igor; Tsimring, Lev.

In: Physical Review Letters, Vol. 75, No. 18, 01.01.1995, p. 3273-3276.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Domain walls in wave patterns

AU - Aranson, Igor

AU - Tsimring, Lev

PY - 1995/1/1

Y1 - 1995/1/1

N2 - We study the interaction of counterpropagating traveling waves in 2D nonequilibrium media described by the complex Swift-Hohenberg equation (CSHE). Direct numerical integration of CSHE reveals novel features of domain walls separating wave systems: wave-vector selection and transverse instability. Analytical treatment is based on a study of coupled complex Ginzburg-Landau equations for counterpropagating waves. At the threshold we find the stationary (yet unstable) solution corresponding to the selected waves. It is shown that sources of traveling waves exhibit long wavelength instability, whereas sinks remain stable. An analogy with the Kelvin-Helmholtz instability is established.

AB - We study the interaction of counterpropagating traveling waves in 2D nonequilibrium media described by the complex Swift-Hohenberg equation (CSHE). Direct numerical integration of CSHE reveals novel features of domain walls separating wave systems: wave-vector selection and transverse instability. Analytical treatment is based on a study of coupled complex Ginzburg-Landau equations for counterpropagating waves. At the threshold we find the stationary (yet unstable) solution corresponding to the selected waves. It is shown that sources of traveling waves exhibit long wavelength instability, whereas sinks remain stable. An analogy with the Kelvin-Helmholtz instability is established.

UR - http://www.scopus.com/inward/record.url?scp=0000631935&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000631935&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.75.3273

DO - 10.1103/PhysRevLett.75.3273

M3 - Article

AN - SCOPUS:0000631935

VL - 75

SP - 3273

EP - 3276

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 18

ER -